Progress in Physics, ISSN 1555-5534, 04/2018, Volume 14, Issue 2, pp. 90 - 93

We embolden the idea that the Dirac 4 × 4 γ-matrices are four-vectors where the space components (γi) represent spin and the forth component (γ0) should...

Lorentz transformations | Matrix algebra | Leptons | Mathematical analysis | Neutrinos | Dirac equation | Relativity | Theory of relativity | Wave functions | Vectors (mathematics) | Matrix methods | Physics

Lorentz transformations | Matrix algebra | Leptons | Mathematical analysis | Neutrinos | Dirac equation | Relativity | Theory of relativity | Wave functions | Vectors (mathematics) | Matrix methods | Physics

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 3/2016, Volume 55, Issue 3, pp. 1543 - 1557

In this study, using the concept of relative entropy as a distance measure of correlations we investigate the important issue of evaluating quantum...

Bipartite quantum system | Theoretical, Mathematical and Computational Physics | Quantum discord | Dirac γ matrices | Quantum Physics | Physics, general | Distance measure of correlations | Physics | Elementary Particles, Quantum Field Theory

Bipartite quantum system | Theoretical, Mathematical and Computational Physics | Quantum discord | Dirac γ matrices | Quantum Physics | Physics, general | Distance measure of correlations | Physics | Elementary Particles, Quantum Field Theory

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 12/2009, Volume 19, Issue 3, pp. 869 - 908

We study briefly some properties of real Clifford algebras and identify them as matrix algebras. We then show that the representation space on which Clifford...

supersymmetry | Theoretical, Mathematical and Computational Physics | spinors | Clifford algebras | Physics | 15A75 | Mathematical Methods in Physics | 15A66 | Dirac Γ-matrices | 17B70 | 17B81 | 81T60 | Applications of Mathematics | Physics, general | Spinors | Supersymmetry | MATHEMATICS, APPLIED | SUPERGRAVITY | Dirac Gamma-matrices | PHYSICS, MATHEMATICAL

supersymmetry | Theoretical, Mathematical and Computational Physics | spinors | Clifford algebras | Physics | 15A75 | Mathematical Methods in Physics | 15A66 | Dirac Γ-matrices | 17B70 | 17B81 | 81T60 | Applications of Mathematics | Physics, general | Spinors | Supersymmetry | MATHEMATICS, APPLIED | SUPERGRAVITY | Dirac Gamma-matrices | PHYSICS, MATHEMATICAL

Journal Article

Computer Physics Communications, ISSN 0010-4655, 1992, Volume 69, Issue 1, pp. 173 - 181

We describe the program DTRACE that is capable of calculating products of traces of γ-matrices in d dimensions. DTRACE gives the result in a form suitable as...

SYMBOLIC CALCULATION | GAMMA-MATRICES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | DIRAC ALGEBRA

SYMBOLIC CALCULATION | GAMMA-MATRICES | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | DIRAC ALGEBRA

Journal Article

IEEE Antennas and Wireless Propagation Letters, ISSN 1536-1225, 2017, Volume 16, pp. 545 - 548

Leaky-wave antennas (LWAs) are widely used as single-point-fed linear antenna arrays. The extension of LWAs to two dimensions (2-D) implies that they can be...

Dirac leaky-wave antennas | Photonic band gap | Directive antennas | Leaky wave antennas | Scattering parameters | Broadside radiation | Dispersion | single-point-fed | transmission line grids | Gamma -point operation"> Gamma -point operation | Antenna arrays | Γ-point operation | TELECOMMUNICATIONS | Gamma-point operation | PHOTONIC CRYSTALS | ENGINEERING, ELECTRICAL & ELECTRONIC | Physics - Classical Physics

Dirac leaky-wave antennas | Photonic band gap | Directive antennas | Leaky wave antennas | Scattering parameters | Broadside radiation | Dispersion | single-point-fed | transmission line grids |

Journal Article

2012, ISBN 9781848167971, xiii, 201

Book

中国物理B：英文版, ISSN 1674-1056, 2015, Volume 24, Issue 5, pp. 369 - 377

To extend the spectrum of lasers to the γ-ray range has been a dream for a long time for both nuclear and laser physi- cists. It means fantastic improvement of...

射线 | 激光器 | 电子 | 后台 | 纳米尺寸 | 核衰变 | 物理学家 | 摆动 | quantum electrodynamics in a laser | electron wave distortion in a laser | γ-ray laser generation | COMPTON-SCATTERING | PHYSICS, MULTIDISCIPLINARY | gamma-ray laser generation | LIGHT | CRYSTAL | RADIATION | DIRAC | ATOM | HIGH-INTENSITY | BEAM | X-RAYS | IONIZATION | Lasers | Background radiation | Physics - Quantum Physics

射线 | 激光器 | 电子 | 后台 | 纳米尺寸 | 核衰变 | 物理学家 | 摆动 | quantum electrodynamics in a laser | electron wave distortion in a laser | γ-ray laser generation | COMPTON-SCATTERING | PHYSICS, MULTIDISCIPLINARY | gamma-ray laser generation | LIGHT | CRYSTAL | RADIATION | DIRAC | ATOM | HIGH-INTENSITY | BEAM | X-RAYS | IONIZATION | Lasers | Background radiation | Physics - Quantum Physics

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 05/2009, Volume 42, Issue 17, pp. 175207 - 175207 (21)

Using Beck and Cohen's superstatistics, we introduce in a systematic way a family of generalized Wishart-Laguerre ensembles of random matrices with Dyson index...

DIRAC OPERATOR | EIGENVALUE | CORRELATORS | UNIVERSALITY | QCD | MODELS | PHYSICS, MULTIDISCIPLINARY | STATISTICS | NOISE | SPECTRUM | FINANCIAL CORRELATION-MATRICES | PHYSICS, MATHEMATICAL

DIRAC OPERATOR | EIGENVALUE | CORRELATORS | UNIVERSALITY | QCD | MODELS | PHYSICS, MULTIDISCIPLINARY | STATISTICS | NOISE | SPECTRUM | FINANCIAL CORRELATION-MATRICES | PHYSICS, MATHEMATICAL

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 11/2014, Volume 157, Issue 3, pp. 497 - 514

We study the fluctuations of certain random matrix products $$\Pi _N=M_N\cdots M_2M_1$$ Π N = M N ⋯ M 2 M 1 of $$\mathrm {SL}(2,\mathbb {R})$$ SL ( 2 , R ) ,...

Random matrix products | Physical Chemistry | Generalised Lyapunov exponent | Theoretical, Mathematical and Computational Physics | Stochastic processes | Lyapunov exponent | Dirac equation | Quantum Physics | Quantum localisation | Statistical Physics, Dynamical Systems and Complexity | Physics | DISORDERED-SYSTEMS | LOCALIZATION | STATES | PARTICLE | FIELD | PHYSICS, MATHEMATICAL | BAND-CENTER | DENSITY | CONDUCTIVITY | DIMENSIONAL ANDERSON MODEL | DIFFUSION | Physics - Disordered Systems and Neural Networks | Condensed Matter | Other

Random matrix products | Physical Chemistry | Generalised Lyapunov exponent | Theoretical, Mathematical and Computational Physics | Stochastic processes | Lyapunov exponent | Dirac equation | Quantum Physics | Quantum localisation | Statistical Physics, Dynamical Systems and Complexity | Physics | DISORDERED-SYSTEMS | LOCALIZATION | STATES | PARTICLE | FIELD | PHYSICS, MATHEMATICAL | BAND-CENTER | DENSITY | CONDUCTIVITY | DIMENSIONAL ANDERSON MODEL | DIFFUSION | Physics - Disordered Systems and Neural Networks | Condensed Matter | Other

Journal Article

Advances in Applied Clifford Algebras, ISSN 0188-7009, 11/2018, Volume 28, Issue 5, pp. 1 - 15

The gamma matrix representation of 28-dimensional SO(8) algebra, which contains the standard and additional spin operators, is under consideration. The...

Theoretical, Mathematical and Computational Physics | Physics | Mathematical Methods in Physics | SO algebra | Primary 15A66 | Fermi–Bose duality | Dirac equation | Secondary 20C33 | Applications of Mathematics | Physics, general | Real number algebra | Clifford algebra representations | Spinor field | MATHEMATICS, APPLIED | RELATIVISTIC WAVE-EQUATIONS | COVARIANT PARTICLE EQUATIONS | DIRAC-EQUATION | PHYSICS, MATHEMATICAL | Fermi-Bose duality | RARITA-SCHWINGER FIELD | CONSERVATION | ARBITRARY SPIN | CANONICAL QUANTUM-MECHANICS | EXTERNAL ELECTROMAGNETIC-FIELD | QUANTIZATION | BOSONIC SYMMETRIES | Algebra

Theoretical, Mathematical and Computational Physics | Physics | Mathematical Methods in Physics | SO algebra | Primary 15A66 | Fermi–Bose duality | Dirac equation | Secondary 20C33 | Applications of Mathematics | Physics, general | Real number algebra | Clifford algebra representations | Spinor field | MATHEMATICS, APPLIED | RELATIVISTIC WAVE-EQUATIONS | COVARIANT PARTICLE EQUATIONS | DIRAC-EQUATION | PHYSICS, MATHEMATICAL | Fermi-Bose duality | RARITA-SCHWINGER FIELD | CONSERVATION | ARBITRARY SPIN | CANONICAL QUANTUM-MECHANICS | EXTERNAL ELECTROMAGNETIC-FIELD | QUANTIZATION | BOSONIC SYMMETRIES | Algebra

Journal Article

Scripta Materialia, ISSN 1359-6462, 1999, Volume 40, Issue 7, pp. 831 - 836

The thermodynamic and kinetic behaviors of γ/α transformation in Nb-free and Nb-containing steels were modeled using classical nucleation and growth theories....

FERRITE ALLOTRIOMORPHS | GROWTH-KINETICS | ALLOY | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING

FERRITE ALLOTRIOMORPHS | GROWTH-KINETICS | ALLOY | MATERIALS SCIENCE, MULTIDISCIPLINARY | METALLURGY & METALLURGICAL ENGINEERING

Journal Article

EPL, ISSN 0295-5075, 10/2016, Volume 116, Issue 1, p. 17004

We establish the connection between a multichannel disordered model-the 1D Dirac equation with N x N matrix random mass-and a random matrix model corresponding...

TRANSPORT | STATES | PHYSICS, MULTIDISCIPLINARY | FIELD | OFF-DIAGONAL DISORDER | DIFFUSION | CHAINS | Physics

TRANSPORT | STATES | PHYSICS, MULTIDISCIPLINARY | FIELD | OFF-DIAGONAL DISORDER | DIFFUSION | CHAINS | Physics

Journal Article

EUROPEAN PHYSICAL JOURNAL C, ISSN 1434-6044, 02/2017, Volume 77, Issue 2, pp. 1 - 228

We review lattice results related to pion, kaon, D- and B-meson physics with the aim of making them easily accessible to the particle-physics community. More...

RANDOM-MATRIX THEORY | STRONG-COUPLING-CONSTANT | ROOTED STAGGERED FERMIONS | VECTOR FORM-FACTOR | CHIRAL PERTURBATION-THEORY | DECAY CONSTANTS | QCD DIRAC OPERATOR | NONPERTURBATIVE O(A) IMPROVEMENT | LIGHT-QUARK MASSES | EFFECTIVE-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Low energy | Standard model (particle physics) | Momentum transfer | Chiral dynamics | Parameters | Particle physics | Particle decay | Quarks | Form factors | Physics | High Energy Physics - Lattice | High Energy Physics - Phenomenology

RANDOM-MATRIX THEORY | STRONG-COUPLING-CONSTANT | ROOTED STAGGERED FERMIONS | VECTOR FORM-FACTOR | CHIRAL PERTURBATION-THEORY | DECAY CONSTANTS | QCD DIRAC OPERATOR | NONPERTURBATIVE O(A) IMPROVEMENT | LIGHT-QUARK MASSES | EFFECTIVE-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Low energy | Standard model (particle physics) | Momentum transfer | Chiral dynamics | Parameters | Particle physics | Particle decay | Quarks | Form factors | Physics | High Energy Physics - Lattice | High Energy Physics - Phenomenology

Journal Article

The European Physical Journal C, ISSN 1434-6044, 9/2014, Volume 74, Issue 9, pp. 1 - 179

We review lattice results related to pion, kaon, $$D$$ D - and $$B$$ B -meson physics with the aim of making them easily accessible to the particle-physics...

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | 2 FLAVORS | RANDOM-MATRIX THEORY | STRONG-COUPLING-CONSTANT | VECTOR FORM-FACTOR | CHIRAL PERTURBATION-THEORY | DECAY CONSTANTS | QCD DIRAC OPERATOR | NONPERTURBATIVE O(A) IMPROVEMENT | LIGHT-QUARK MASSES | EFFECTIVE-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Chiral dynamics | Decay rate | Pions | Parameters | Particle decay | Quarks | Form factors | Kaons | Low energy | Momentum transfer | Particle physics | Accessibility | Lattices | Decay | Texts | Constants | High Energy Physics - Lattice | High Energy Physics - Phenomenology | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Review

Nuclear Physics, Heavy Ions, Hadrons | Measurement Science and Instrumentation | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | 2 FLAVORS | RANDOM-MATRIX THEORY | STRONG-COUPLING-CONSTANT | VECTOR FORM-FACTOR | CHIRAL PERTURBATION-THEORY | DECAY CONSTANTS | QCD DIRAC OPERATOR | NONPERTURBATIVE O(A) IMPROVEMENT | LIGHT-QUARK MASSES | EFFECTIVE-FIELD-THEORY | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Chiral dynamics | Decay rate | Pions | Parameters | Particle decay | Quarks | Form factors | Kaons | Low energy | Momentum transfer | Particle physics | Accessibility | Lattices | Decay | Texts | Constants | High Energy Physics - Lattice | High Energy Physics - Phenomenology | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | Review

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 10/1968, Volume 9, Issue 10, pp. 1732 - 1738

A construction algorithm is given which allows any partially contracted product of γ matrices to be reduced in one line to a simple canonical form involving...

Journal Article

Physics Letters, Section A: General, Atomic and Solid State Physics, ISSN 0375-9601, 10/2006, Volume 358, Issue 3, pp. 203 - 210

We introduce the entangled Husimi operator Δ (σ, γ, κ) which is endowed with definite physical meaning, and find that there corresponds a special two-mode...

WIGNER OPERATOR | DIRACS SYMBOLIC METHOD | MECHANICS | QUANTUM OPTICS | PHASE-SPACE METHODS | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | CALCULUS | REPRESENTATION | NONCOMMUTING OPERATORS | TRANSFORMATIONS

WIGNER OPERATOR | DIRACS SYMBOLIC METHOD | MECHANICS | QUANTUM OPTICS | PHASE-SPACE METHODS | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | CALCULUS | REPRESENTATION | NONCOMMUTING OPERATORS | TRANSFORMATIONS

Journal Article

Physics Letters A, ISSN 0375-9601, 2007, Volume 370, Issue 3, pp. 351 - 353

A differential equation for the Dirac density matrix γ ( r , r ′ ) , given ground-state electron- and kinetic energy-densities, has been derived by March and...

Dirac density matrix | Ten-electron systems | Kinetic energy density | FUNCTIONAL THEORY | MARCH MODEL | dirac density matrix | PHYSICS, MULTIDISCIPLINARY | Web services

Dirac density matrix | Ten-electron systems | Kinetic energy density | FUNCTIONAL THEORY | MARCH MODEL | dirac density matrix | PHYSICS, MULTIDISCIPLINARY | Web services

Journal Article

Symmetry, ISSN 2073-8994, 2012, Volume 4, Issue 4, pp. 626 - 643

There are two sets of four-by-four matrices introduced by Dirac. The first set consists of fifteen Majorana matrices derivable from his four gamma matrices....

Sl(4,r) isomorphic O(3,3) | Wigner's phase space | Non-canonical transformations | Dirac gamma matrices Feynman's rest of the universe | Two coupled oscilators | Quantum mechanics interpretation | Group generators | Dirac gamma matrices | quantum mechanics interpretation | Feynman's rest of the universe | MULTIDISCIPLINARY SCIENCES | SL(4, r) isomorphic O(3,3) | group generators | non-canonical transformations | two coupled oscilators

Sl(4,r) isomorphic O(3,3) | Wigner's phase space | Non-canonical transformations | Dirac gamma matrices Feynman's rest of the universe | Two coupled oscilators | Quantum mechanics interpretation | Group generators | Dirac gamma matrices | quantum mechanics interpretation | Feynman's rest of the universe | MULTIDISCIPLINARY SCIENCES | SL(4, r) isomorphic O(3,3) | group generators | non-canonical transformations | two coupled oscilators

Journal Article

The European Physical Journal C, ISSN 1434-6044, 7/2011, Volume 71, Issue 7, pp. 1 - 76

We review lattice results relevant for pion and kaon physics with the aim of making them easily accessible to the particle physics community. Specifically, we...

Measurement Science and Instrumentation | Nuclear Physics, Heavy Ions, Hadrons | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | ELECTROMAGNETIC CORRECTIONS | RANDOM-MATRIX THEORY | TOPOLOGICAL SUSCEPTIBILITY | STRANGE QUARKS | FORM-FACTORS | CHIRAL PERTURBATION-THEORY | QCD DIRAC OPERATOR | SUM-RULES | LIGHT-QUARK MASSES | VERTICAL-BAR | PHYSICS, PARTICLES & FIELDS | Kaons | Perturbation theory | Low energy | Momentum transfer |

Measurement Science and Instrumentation | Nuclear Physics, Heavy Ions, Hadrons | Nuclear Energy | Quantum Field Theories, String Theory | Physics | Elementary Particles, Quantum Field Theory | Astronomy, Astrophysics and Cosmology | ELECTROMAGNETIC CORRECTIONS | RANDOM-MATRIX THEORY | TOPOLOGICAL SUSCEPTIBILITY | STRANGE QUARKS | FORM-FACTORS | CHIRAL PERTURBATION-THEORY | QCD DIRAC OPERATOR | SUM-RULES | LIGHT-QUARK MASSES | VERTICAL-BAR | PHYSICS, PARTICLES & FIELDS | Kaons | Perturbation theory | Low energy | Momentum transfer |