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The group $G_{n}^{2}$ with a parity and with pointsApr 30 2016In~\cite{Ma} Manturov studied groups $G_{n}^{k}$ for fixed integers $n$ and $k$ such that $k<n$. In particular, $G_{n}^{2}$ is isomorphic to the group of free braids of $n$-stands. In~\cite{KiMa} Manturov and the author studied an invariant valued in ... More

Historical Approach to Physics according to Kant, Einstein, and HegelJan 25 2013It is known that Einstein's conceptual base for his theory of relativity was the philosophy formulated by Immanuel Kant. Things appear differently to observers in different frames. However, Kant's Ding-an-Sich leads to the existence of the absolute reference ... More

Eugene Paul Wigner's Nobel PrizeOct 06 2016In 1963, Eugene Paul Wigner was awarded the Nobel Prize in Physics for his contributions to the theory of the atomic nucleus and the elementary particles, particularly through the discovery and application of fundamental symmetry principles. There are ... More

Two-pearl Strings: Feynman's OscillatorsNov 04 1999String models are designed to provide a covariant description of internal space-time structure of relativistic particles. The string is a limiting case of a series of massive beads like a pearl necklace. In the limit of infinite-number of zero-mass beads, ... More

Lower Bounds on Q for Finite Size Antennas of Arbitrary ShapeJun 11 2015Nov 17 2015The problem of the lower bound on the radiation Q for an arbitrarily shaped finite size antenna of non-zero volume is formulated in terms of equivalent electric and magnetic currents densities distributed on a closed surface coinciding with antenna exterior ... More

Symmetries of Massive and Massless NeutrinosSep 22 2016Wigner's little groups are subgroups of the Lorentz group dictating the internal space-time symmetries of massive and massless particles. These little groups are like O(3) and E(2) for massive and massless particles respectively. While the geometry of ... More

Dynamical surface structures in multi-particle-correlated surface growthsMay 21 2002We investigate the scaling properties of the interface fluctuation width for the $Q$-mer and $Q$-particle-correlated deposition-evaporation models. These models are constrained with a global conservation law that the particle number at each height is ... More

High-speed Contraction of Transverse Rotations to Gauge TransformationsNov 30 1997The Inonu-Wigner contraction is applied to special relativity and the little groups of the Lorentz group. If the O(3) symmetry group for massive particle is boosted to an infinite-momentum frame, it becomes contracted to a combination of the cylindrical ... More

Topology of HI in the Large Magellanic CloudApr 23 2007May 01 2007We have analyzed the HI aperture synthesis image of the Large Magellanic Cloud (LMC), using an objective and quantitative measure of topology to understand the HI distribution hosting a number of holes and clumps of various sizes in the medium. The HI ... More

Protection of Accelerator Hardware: RF systemsAug 10 2016The radio-frequency (RF) system is the key element that generates electric fields for beam acceleration. To keep the system reliable, a highly sophisticated protection scheme is required, which also should be designed to ensure a good balance between ... More

Lens optics and the continuity problems of the ABCD matrixJan 06 2014Paraxial lens optics is discussed to study the continuity properties of the $ABCD$ beam transfer matrix. The two-by-two matrix for the one-lens camera-like system can be converted to an equi-diagonal form by a scale transformation, leaving the off-diagonal ... More

Disassortativity of random critical branching treesMay 01 2009Random critical branching trees (CBTs) are generated by the multiplicative branching process, where the branching number is determined stochastically, independent of the degree of their ancestor. Here we show analytically that despite this stochastic ... More

A Comparative Study of the Parker Instability under Three Models of the Galactic GravityJul 08 1998To examine how non-uniform nature of the Galactic gravity might affect length and time scales of the Parker instability, we took three models of gravity, uniform, linear and realistic ones. To make comparisons of the three gravity models on a common basis, ... More

Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomialsDec 27 2013In this paper, we consider Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials. From the properties of Sheffer sequences of these polynomials arising from umbrral calculus, we derive new and interesting identities.

Wigner Rotations in Laser CavitiesAug 31 2001The Wigner rotation is a key word in many branches of physics, chemistry and engineering sciences. It is a group theoretical effect resulting from two Lorentz boosts. The net effect is one boost followed or preceded by a rotation. This rotation can therefore ... More

Four-potentials and Maxwell Field Tensors from $SL(2,C)$ Spinors as Infinite-Momentum/Zero-Mass Limits of their Massive CounterpartsDec 12 1995Dec 14 1995Four $SL(2,C)$ spinors are considered within the framework of Wigner's little groups which dictate internal space-time symmetries of relativistic particles. It is indicated that the little group for a massive particle at rest is $O(3)$, while it is $O(3)$-like ... More

Lorentz Group in Ray and Polarization OpticsApr 23 2012While the Lorentz group serves as the basic language for Einstein's special theory of relativity, it is turning out to be the basic mathematical instrument in optical sciences, particularly in ray optics and polarization optics. The beam transfer matrix, ... More

Symmetries of the Poincare sphere and decoherence matricesJan 11 2005Feb 03 2005The Stokes parameters form a Minkowskian four-vector under various optical transformations. As a consequence, the resulting two-by-two density matrix constitutes a representation of the Lorentz group. The associated Poincare sphere is a geometric representation ... More

Lens optics as an optical computer for group contractionsOct 30 2002It is shown that the one-lens system in para-axial optics can serve as an optical computer for contraction of Wigner's little groups and an analogue computer which transforms analytically computations on a spherical surface to those on a hyperbolic surface. ... More

Binary Representations of ABCD MatricesAug 24 2000The ABCD matrix is one of the essential mathematical instruments in optics. It is the two-by-two representation of the group Sp(2), which is applicable to many branches of physics, including squeezed states of light, special relativity and coupled oscillators. ... More

One analytic form for four branches of the ABCD matrixFeb 05 2010May 21 2014It is not always possible to diagonalize the optical $ABCD$ matrix, but it can be brought into one of the four Wigner matrices by a similarity transformation. It is shown that the four Wigner matrices can be combined into one matrix with four branches. ... More

Rotations associated with Lorentz boostsJan 15 2004It is possible to associate two angles with two successive non-collinear Lorentz boosts. If one boost is applied after the initial boost, the result is the final boost preceded by a rotation called the Wigner rotation. The other rotation is associated ... More

ABCD Matrices as Similarity Transformations of Wigner Matrices and Periodic Systems in OpticsMay 16 2008The beam transfer matrix, often called the $ABCD$ matrix, is a two-by-two matrix with unit determinant, and with three independent parameters. It is noted that this matrix cannot always be diagonalized. It can however be brought by rotation to a matrix ... More

Virtual SUSY Threshold Effects and CDF large $E_{T}$ AnomalyOct 28 1996Feb 05 1997Recent CDF data of the inclusive jet cross section shows threshold-like structured deviation, around transverse momentum $E_T(j)\approx 200 \sim 350$ GeV. If this data is real, not just some statistical fluctuation, is it possible to interpret the anomaly ... More

Carbon nanotube, graphene, nanowire, and molecule-based electron and spin transport phenomena using the non-equilibrium Green function method at the level of first principles theoryAug 18 2007Based on density functional theory (DFT), we have developed algorithms and a program code to investigate the electron transport characteristics for a variety of nanometer scaled devices in the presence of an external bias voltage. We employed basis sets ... More

Scale-free random branching tree in supercritical phaseFeb 01 2007We study the size and the lifetime distributions of scale-free random branching tree in which $k$ branches are generated from a node at each time step with probability $q_k\sim k^{-\gamma}$. In particular, we focus on finite-size trees in a supercritical ... More

Violation of Wiedemann-Franz law at the Kondo breakdown quantum critical pointNov 05 2008We study both the electrical and thermal transport near the heavy-fermion quantum critical point (QCP), identified with the breakdown of the Kondo effect as an orbital selective Mott transition. We show that the contribution to the electrical conductivity ... More

The group $G_{n}^{2}$ and Invariants of Free Knots Valued in Free GroupsAug 04 2015In the present paper, we define an invariant of free links valued in a free product of some copies of $\mathbb{Z}_{2}$. In \cite{Ma2} the second named author constructed a connection between classical braid group and group presentation generated by elements ... More

Rare decays of B mesons via on-shell sterile neutrinosJun 13 2016Sep 02 2016In view of the projected high number of produced $B$ mesons in Belle II experiment ($\sim 10^{10}$ per year), in addition to the presently ongoing LHC-b, we calculate the rate of decay for the rare decays of $B$ mesons via a sterile on-shell neutrino ... More

A Subluminal Relativistic Magnetohydrodynamics Scheme with ADER-WENO Predictor and Multidimensional Riemann Solver-Based CorrectorFeb 01 2016The relativistic magnetohydrodynamics (RMHD) set of equations has recently seen increased use in astrophysical computations. Even so, RMHD codes remain fragile. The reconstruction can sometimes yield superluminal velocities in certain parts of the mesh. ... More

Minimal Natural Supersymmetry after the LHC8Nov 13 2015May 13 2016In this work, we present limits on natural supersymmetry scenarios based on searches in data taken during run 1 of the LHC. We consider a set of 22000 model points in a six dimensional parameter space. These scenarios are minimal in the sense of only ... More

Sliderule-like property of Wigner's little groups and cyclic S-matrices for multilayer opticsMar 06 2003Mar 25 2003It is noted that two-by-two S-matrices in multilayer optics can be represented by the Sp(2) group whose algebraic property is the same as the group of Lorentz transformations applicable to two space-like and one time-like dimensions. It is noted also ... More

Model independent signatures of new physics in $B \to D \ell^+ \ell^-$ decaysOct 14 2016We present the fully general, model independent study of a few rare semileptonic $B$ decays that get dominant contributions from $W$-annihilation and $W$-exchange diagrams, in particular $B^0 \to \bar{D}^0 \ell^+\ell^-$, where $\ell = e,\mu$. We consider ... More

Bandwidth-Unlimited, Dispersion-Free Tunable Optical Delay Using a Prism PairSep 17 2009We report a nearly perfect bandwidth-unlimited, dispersion-free tunable optical delay system using a prism pair. The observed delay-bandwidth product using a 25-femtosecond light pulse is ~7x104, where the delay time is independent of the signal bandwidth. ... More

Sensitivity bounds on heavy neutrino mixing $|U_{μN}|^2$ and $|U_{τN}|^2$ from LHCb upgradeApr 29 2019May 07 2019Decays of heavy pseudoscalar mesons $B$, $B_c$, $B_s$ and $D_s$ at LHCb upgrade are considered, which produce either two equal sign muons or taus. In addition, we consider the analogous decays with opposite sign muons or taus. All these decays are considered ... More

Alternating Direction Implicit Method for Two-Dimensional Fokker-Planck Equation of Dense Spherical Stellar SystemsMay 01 2008The Fokker-Planck (FP) model is one of the commonly used methods for studies of the dynamical evolution of dense spherical stellar systems such as globular clusters and galactic nuclei. The FP model is numerically stable in most cases, but we find that ... More

Purification of entangled coherent statesNov 02 2001Apr 09 2002We suggest an entanglement purification scheme for mixed entangled coherent states using 50-50 beam splitters and photodetectors. This scheme is directly applicable for mixed entangled coherent states of the Werner type, and can be useful for general ... More

From Caenorhabditis elegans to the Human Connectome: A Specific Modular Organisation Increases Metabolic, Functional, and Developmental EfficiencySep 30 2014The connectome, or the entire connectivity of a neural system represented by network, ranges various scales from synaptic connections between individual neurons to fibre tract connections between brain regions. Although the modularity they commonly show ... More

Spatial Diffusion of Stars in the Inner Galactic BulgeFeb 14 2001Star formation in the inner few hundred pc of the Galactic bulge occurs in a flattened molecular layer called the central molecular zone (CMZ). Serabyn & Morris (1996) suggest that the star formation in the CMZ has been sustained for the lifetime of the ... More

Squeezed States as Representations of Symplectic GroupsMar 11 1998It is shown that the SU(1,1)-like and SU(2)-like two-photon coherent states can be combined to form a O(3,2)-like two-photon states. Since the O(3,2) group has many subgroups, there are also many new interesting new coherent and squeezed two-photon states. ... More

Even-odd parity effects in conductance and shot noise of metal-atomic wire-metal(superconducting) junctionsFeb 21 2002Jun 12 2002In this paper, we study the conductance and shot noise in transport through a multi-site system in a two terminal configuration. The dependence of the transport on the number of atoms in the atomic wire is investigated using a tight-binding Hamiltonian ... More

Thermopower of Aharonov-Bohm Interferometer with a Quantum DotOct 12 2001Feb 21 2002We report on the thermopower of an Aharonov-Bohm interferometer (AB) with a quantum dot in the Kondo limit. The thermopower is anomalously enhanced due to the Kondo effect as in heavy fermion systems. In contrast to the bulk systems, the sign of the thermopower ... More

Emergence of canonical ensembles from pure quantum statesNov 11 2009Apr 27 2010We consider a system weakly interacting with a bath as a thermodynamic setting to establish a quantum foundation of statistical physics. It is shown that even if the composite system is initially in an arbitrary nonequilibrium pure quantum state, the ... More

On groups $G_{n}^{k}$, braids and Brunnian braidsJun 11 2016Jun 14 2016In \cite{Manturov} the second author defined the $k$-free braid group with $n$ strands $G_{n}^{k}$. These groups appear naturally as groups describing dynamical systems of $n$ particles in some "general position". Moreover, in \cite{ManturovNikonov} the ... More

Low-end mass function of the Quintuplet clusterMay 09 2016The Quintuplet and Arches clusters, which were formed in the harsh environment of the Galactic Center (GC) a few million years ago, have been excellent targets for studying the effects of a star-forming environment on the initial mass function (IMF). ... More

Group G_{n}^{3} and imaginary generatorsDec 11 2016In the present paper, we construct a monomorphism from (Artin) pure braid group $PB_{n}$ into a group, which is `bigger' than $PB_{n}$. Roughly speaking, this mapping is defined on words of braids by adding `new generators' between generators of $PB_{n}$. ... More

Application of Unit Time Block Entropy to Fetal Distress Heart RateMar 15 2006Recently, multiple time scale characteristics of heart dynamics have received much attention for distinguishing healthy and pathologic cardiac systems. Despite structural peculiarities of the fetal cardiovascular system, the fetal heart rate(FHR) displays ... More

Systematic Analysis of B --> K pi l^+ l^- Decay through Angular DecompositionNov 25 2007Dec 04 2007We investigate systematically how to extract new physics contributions in B --> K pi l^+ l^- decay by using the angular decomposition. The decomposition will enable us to define not only several CP averaged forward-backward (FB) asymmetries but also the ... More

Anomalous Behaviors in Fractional Fokker-Planck EquationJul 02 2002We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force correlation in terms of the time-dependent drift force fields are discussed ... More

Discrete Flavor Symmetries and Mass Matrix TexturesMay 24 2000May 25 2001We show how introducing discrete Abelian flavor symmetries can produce texture zeros in the fermion mass matrices, while preserving the correct relationships with the low-energy data on quark and lepton masses. We outline a procedure for defining texture ... More

Quark and Lepton Masses from a {\boldmath $U(1)\times Z_2$} Flavor SymmetryMar 13 2000May 24 2000We show that solutions for the masses and mixings of the quarks and leptons based on a $U(1)\times Z_2$ horizontal symmetry are possible. The seesaw mechanism is shown to work consistently in the presence of the discrete symmetry. The discrete symmetry ... More

Two Different Squeeze TransformationsFeb 05 1996Lorentz boosts are squeeze transformations. While these transformations are similar to those in squeezed states of light, they are fundamentally different from both physical and mathematical points of view. The difference is illustrated in terms of two ... More

Abstractions for Symbolic Controller Synthesis are ComposableJul 26 2018Translating continuous control system models into finite automata allows us to use powerful discrete tools to synthesize controllers for complex specifications. The abstraction construction step is unfortunately hamstrung by high runtime and memory requirements ... More

GeV to TeV astrophysical tau neutrinosJul 16 2004Neutrinos with energy greater than GeV are copiously produced in the p(A,p) interactions occurring in several astrophysical sites such as (i) the earth atmosphere, (ii) our galactic plane as well as in (iii) the galaxy clusters. A comparison of the tau ... More

RowHammer: A RetrospectiveApr 22 2019This retrospective paper describes the RowHammer problem in Dynamic Random Access Memory (DRAM), which was initially introduced by Kim et al. at the ISCA 2014 conference~\cite{rowhammer-isca2014}. RowHammer is a prime (and perhaps the first) example of ... More

Heat Engines running upon a Non-Ideal Fluid Model with Higher Efficiencies than upon the Ideal Gas ModelSep 27 2016Jan 18 2017We consider both Otto and Diesel heat engine cycles running upon the working substances modeled by the van der Waals fluid as a simple non-ideal gas model. We extensively perform the efficiency study in these model engines. Then we find that this "real" ... More

Optimization of cooling load in quantum self-contained fridge based on endoreversible approachOct 30 2015We consider a quantum self-contained fridge consisting of three qubits interacting with three separate heat reservoirs, respectively, and functioning without any external controls. Applying the methods of endoreversible thermodynamics, we derive explicit ... More

Flavor Dependence of Sea Quark Structure FunctionsJul 19 1993Quark masses are shown to play an important role in the nucleon sea. Our analysis using massive QCD splitting functions demonstrates the existence of two Feynman-$x$ sea regimes. For small $x$ the strange sea is larger while at large $x$ the non-strange ... More

On the associated sequences of special polynomialsJan 26 2013In this paper, we investigate some properties of the associated sequence of Daehee and Changhee polynomials. Finally, we give some interesting identities of associated sequence involving some special polynomials.

Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomialsSep 01 2010We investigate some interesting properties of Bernstein polynomials associated with boson p-adic integrals on Zp.

A study of semi-inclusive charmless $B \to πX$ decaysMar 09 2002Jul 08 2002We study semi-inclusive charmless decays $B \to \pi X$ in detail, such as $\bar B^0 \to \pi^{\pm (0)} X$, $B^0 \to \pi^{\pm (0)} X$, $B^{\pm} \to \pi^{\pm (0)} X$, where $X$ does not contain a charm (anti)quark. We find that the process $\bar B^0 \to ... More

Heat Engines running upon a Non-Ideal Fluid Model with Higher Efficiencies than upon the Ideal Gas ModelSep 27 2016Nov 28 2016We consider both Otto and Diesel heat engine cycles running upon the working substances modeled by the van der Waals fluid as a simple non-ideal gas model. We extensively perform the efficiency study in these model engines. Then we find that this "real" ... More

The thermopower as a fingerprint of the Kondo breakdown quantum critical pointMay 19 2010Nov 02 2010We propose that the thermoelectric power distinguishes two competing scenarios for quantum phase transitions in heavy fermions : the spin-density-wave (SDW) theory and breakdown of the Kondo effect. In the Kondo breakdown scenario, the Seebeck coefficient ... More

Iwasawa Effects in Multi-layer OpticsMar 30 2001There are many two-by-two matrices in layer optics. It is shown that they can be formulated in terms of a three-parameter group whose algebraic property is the same as the group of Lorentz transformations in a space with two space-like and one time-like ... More

Nonstationary theory of magnetic field induced current for molecular spin nanojunctionApr 22 2009For the study of molecular spin junctions, we take into account two types of couplings between the molecule and the metal leads: (i) electron transfer that gives rise to net current in the biased junction and (ii) energy transfer between the molecule ... More

Sensitivity bounds on heavy neutrino mixing $|U_{μN}|^2$ and $|U_{τN}|^2$ from LHCb upgradeApr 29 2019Decays of heavy pseudoscalar mesons $B$, $B_c$, $B_s$ and $D_s$ at LHCb upgrade are considered, which produce either two equal sign muons or taus. In addition, we consider the analogous decays with opposite sign muons or taus. All these decays are considered ... More

Fluctuation Theorem for an Arbitrary Quantum ProcessOct 07 2018Fluctuation theorems are at the heart of thermodynamics. We introduce fluctuation theorems from a quantum information theoretic viewpoint by establishing a relationship between the transition amplitudes of a quantum channel and its recovery map. The reference ... More

Kinematics of a cascade decay for the precision measurement of $^{29}{\rm Si}$ binding energySep 09 2011Jun 27 2013Comparison of a Penning trap and a flat-crystal spectrometer experiments gives a direct test of $E=mc^2$. The result is $1-\Delta mc^2/E =(-1.4 \pm 4.4) \times 10^{-7}$ for $^{29}{\rm Si}$ and $^{33}{\rm S}$. The dominant uncertainty is on the $\gamma$-ray ... More

Weierstrass semigroups on double covers of genus four curveOct 06 2013Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, ... More

Thermoelectric effects of an Aharonov-Bohm interferometer with an embedded quantum dot in the Kondo regimeNov 25 2002Apr 24 2003Thermoelectric effects are studied in an Aharonov-Bohm (AB) interferometer with an embedded quantum dot in the Kondo regime. The AB flux-dependent transmission probability has an asymmetrical shape arising from the Fano interference between the direct ... More

Two-dimensional imaging of gauge fields in optical latticesJan 09 2011Dec 22 2011We propose a scheme to generate an arbitrary Abelian vector potential for atoms trapped in a two-dimensional optical lattice. By making the optical lattice potential dependent on the atomic state, we transform the problem into that of a two-dimensional ... More

On the Twisted q-Euler numbers and polynomials associated with basic q-l-functionsNov 27 2006One purpose of this paper is to construct twisted q-Euler numbers by using p-adic invariant integral on Zp in the sense of fermionic. Finally, we consider twisted Euler q-zeta function and q-l-series which interpolate twisted q-Euler numbers and polynomials. ... More

Artin's braids, Braids for three space, and groups $Γ_{n}^{4}$ and $G_{n}^{k}$Feb 28 2019Mar 08 2019We construct a group $\Gamma_{n}^{4}$ corresponding to the motion of points in $\mathbb{R}^{3}$ from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on $n$ strands to the product of copies of $\Gamma_{n}^{4}$. We ... More

Tree FCNC and non-unitarity of CKM matrixOct 09 2007Dec 19 2007We discuss possible signatures of the tree level FCNC, which results from the non-unitarity of CKM matrix. We first define the unitaity step-by-step, and possible test of the non-unitaity through the 4-value-KM parametrization. We, then, show how the ... More

Heat Engines running upon a Non-Ideal Fluid Model with Higher Efficiencies than upon the Ideal Gas ModelSep 27 2016We consider both Otto and Diesel heat engine cycles running upon the working substances modeled by the van der Waals fluid as a simple non-ideal gas model. We extensively perform the efficiency study in these model engines. Then we find that this "real" ... More

Measurable criteria of generalized non-localitySep 07 2015The most general class of Bell's inequalities for $N$-partite $d$-chotomic systems, with $k$ number of obervables, is derived using the formalism of generic correlation functions, which are obtained as a fourier transformation of probability spectrums. ... More

Suitability of the approximate superposition of squeezed coherent states for various quantum protocolsMay 14 2008A state in a d-dimensional Hilbert space can be simulated by a state defined in a different dimension with high fidelity. We assess how faithfully such the approximated state can perform quantum protocols, using an example of the squeezed coherent superposition ... More

Artin's braids, Braids for three space, and groups $Γ_{n}^{4}$ and $G_{n}^{k}$Feb 28 2019We construct a group $\Gamma_{n}^{4}$ corresponding to the motion of points in $\mathbb{R}^{3}$ from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on $n$ strands to the product of copies of $\Gamma_{n}^{4}$. We ... More

Leptogenesis and Low-energy ObservablesSep 28 2001Jan 21 2002We relate leptogenesis in a class of theories to low-energy experimental observables: quark and lepton masses and mixings. With reasonable assumptions motivated by grand unification, one can show that the CP-asymmetry parameter takes a universal form. ... More

Anomaly-Free Flavor Symmetry and Neutrino AnarchyOct 20 2000We show that one can describe the quark and lepton masses with a single anomaly-free U(1) flavor symmetry provided a single order one parameter is enhanced by roughly 4-5. The flavor symmetry can be seen to arise from inside the $E_6$ symmetry group in ... More

Using the Supernova / Acceleration Probe (SNAP) to Search for Microlensing Events Towards the LMCJan 22 2001Microlensing experiments today have a tantalizing result; they have detected an excess of microlensing events beyond what is expected from known stellar populations. These events could be due to a possible form of Halo dark matter. However, study of these ... More

Efficient Quantum Computation using Coherent StatesSep 17 2001Dec 31 2001Universal quantum computation using optical coherent states is studied. A teleportation scheme for a coherent-state qubit is developed and applied to gate operations. This scheme is shown to be robust to detection inefficiency.

Lorentz Boosts as Squeeze Transformations and Coherence ProblemsFeb 19 1996The quark model and the parton model are known to be two different manifestations of the same covariant entity. However, the interaction amplitudes of partons are incoherent while they are coherent in the quark model. According to Feynman, this is due ... More

Dynamical Friction on Star Clusters near the Galactic CenterJul 14 2003Numerical simulations of the dynamical friction suffered by a star cluster near the Galactic center have been performed with a parallelized tree code. Gerhard (2001) has suggested that dynamical friction, which causes a cluster to lose orbital energy ... More

Suppression of current in transport through parallel double quantum dotsMay 02 2002We report our study of the I-V curves in the transport through the quantum dot when an additional quantum dot lying in the Kondo regime is side-connected to it. Due to the Kondo scattering off the effective spin on a side-connected quantum dot the conductance ... More

Hawking-Unruh effect and the entanglement of two-mode squeezed states in Riemannian spacetimeApr 02 2006Jan 31 2007We consider the system of free scalar field, which is assumed to be a two-mode squeezed state from an inertial point of view. This setting allows the use of entanglement measure for continuous variables, which can be applied to discuss free and bound ... More

Twist and teleportation analogy of the black hole final stateNov 13 2006Feb 04 2007Mathematical connection between the quantum teleportation, the most unique feature of quantum information processing, and the black hole final state is studied taking into account the non trivial spacetime geometry. We use the twist operatation for the ... More

Quantum Boltzman equation study for the Kondo breakdown quantum critical pointApr 07 2009Sep 27 2009We develop the quantum Boltzman equation approach for the Kondo breakdown quantum critical point, involved with two bands for conduction electrons and localized fermions. Particularly, the role of vertex corrections in transport is addressed, crucial ... More

Deciphering the Majorana nature of neutrino via 'effective' Dalitz plot methodDec 02 2016Neutrinos are the only elementary fermions known to us which can have Majorana nature. This property is under vigorous experimental investigation in various particle physics experiments, most notably the neutrinoless double-$\beta$ ($0\nu\beta\beta$) ... More

Multifractal Structure of the Sea-Bottom Topography in the Korean SeaJun 07 2000Jun 08 2000The scaling behavior of the mutifractality for the sea-bottom topography of the South Sea in Korea is numerically investigated. In particular, we focus on the behavior of the $q$th-moment depth-depth correlation function of the sea-bottom topography and ... More

Artin's braids, Braids for three space, and groups $Γ_{n}^{4}$ and $G_{n}^{k}$Feb 28 2019Mar 01 2019We construct a group $\Gamma_{n}^{4}$ corresponding to the motion of points in $\mathbb{R}^{3}$ from the point of view of Delaunay triangulations. We study homomorphisms from pure braids on $n$ strands to the product of copies of $\Gamma_{n}^{4}$. We ... More

Axial-Vector Emitting Weak Nonleptonic Deacys of $Ω_c^0$ BaryonJan 18 2015May 11 2015The axial-vector emitting weak hadronic decays of $\Omega_c^0$ baryon are investigated. After employing the factorization and the pole model framework to predict their branching ratios, we derive the symmetry breaking effects on axial-vector-meson-baryon ... More

The language of Einstein spoken by optical instrumentsJul 28 2004Einstein had to learn the mathematics of Lorentz transformations in order to complete his covariant formulation of Maxwell's equations. The mathematics of Lorentz transformations, called the Lorentz group, continues playing its important role in optical ... More

Low-End Mass Function of the Arches ClusterNov 13 2014The initial mass function (IMF) of the Arches cluster, which was formed a few million years ago in the harsh environment of the Galactic center (GC), has long been a target of interest to those who study the GC and the theory of star formation. The distinct ... More

Application of the projection operator formalism to non-Hamiltonian dynamicsAug 31 2009Feb 07 2011Reconstruction of equations of motion from incomplete or noisy data and dimension reduction are two fundamental problems in the study of dynamical systems with many degrees of freedom. For the latter extensive efforts have been made but with limited success ... More

Correlation functions and queuing phenomena in growth processes with driftDec 26 2005We suggest a novel stochastic discrete growth model which describes the drifted Edward-Wilkinson (EW) equation $\partial h /\partial t = \nu \partial_x^2 h - v\partial_x h +\eta(x,t)$. From the stochastic model, the anomalous behavior of the drifted EW ... More

Effects of signs in tunneling matrix elements on transmission zeros and phaseNov 23 2002Apr 26 2003The effect of the signs in the tunneling matrix elements on the transmission zeros and the transmission phase in transport through a quantum dot is studied. The existence of the transmission zeros is determined by both the relative signs and the strength ... More

Squeezed states of quadratically kicked nanomechanical oscillatorsSep 18 2011We show how to prepare and directly measure the squeezed states of nanomechanical oscillators. An intense pulse interacts with a dielectric mirror in a cavity. The quadratic coupling between the optical pulse and the oscillator results in the reduction ... More

The U(1) Gross-Neveu Model at Non-Zero Chemical PotentialJan 31 1995The four-fermi model with continuous chiral symmetry is studied in three dimensions at non-zero chemical potential $\mu$ using both the $1/N_f$ expansion and computer simulations. For strong coupling this model spontaneously breaks its U(1) chiral symmetry ... More

Diagonalization of Sp(2) matricesJan 11 2007The two-by-two Sp(2) matrix has three parameters with unit determinant. Yet, there are no established procedures for diagonalizing this matrix. It is shown that this matrix can be written as a similarity transformation of the two-by-two Wigner matrix, ... More