2010, ISBN 9781848211506, xx, 243

This book gives an overview of the quantum transport approaches for nanodevices and focuses on the Wigner formalism. It details the implementation of a...

Solid state physics | Mathematics

Solid state physics | Mathematics

Book

International Journal of Theoretical Physics, ISSN 0020-7748, 6/2015, Volume 54, Issue 6, pp. 1805 - 1817

For entangled systems since wave function for single particle is not physical, marginal distributions of the Wigner function for entangled states are only...

Generalized entangled Wigner operator | Generalized Weyl Quantization scheme | Different operator ordering rules | Theoretical, Mathematical and Computational Physics | Mutual transformation | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS

Generalized entangled Wigner operator | Generalized Weyl Quantization scheme | Different operator ordering rules | Theoretical, Mathematical and Computational Physics | Mutual transformation | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS

Journal Article

3.
A Weyl-Titchmarsh type formula for a discrete Schrödinger operator with Wigner-von Neumann potential

Studia Mathematica, ISSN 0039-3223, 2010, Volume 201, Issue 2, pp. 167 - 189

We consider a discrete Schrodinger operator J with Wigner-von Neumann potential not belonging to l(2). We find the asymptotics of orthonormal polynomials...

Discrete schrö | Dinger operator | Asymptotics of generalized eigenvectors | Orthogonal polynomials | Jacobi matrices | Weyl-Titchmarsh theory | Wigner-von neumann potential | LINEAR-SYSTEMS | PERTURBATIONS | SUBORDINACY | discrete Schrodinger operator | ABSOLUTE CONTINUITY | MATHEMATICS | JOST FUNCTIONS | THEOREMS | asymptotics of generalized eigenvectors | INVERSE SCATTERING PROBLEM | HAMILTONIANS | ASYMPTOTICS | Wigner-von Neumann potential | orthogonal polynomials

Discrete schrö | Dinger operator | Asymptotics of generalized eigenvectors | Orthogonal polynomials | Jacobi matrices | Weyl-Titchmarsh theory | Wigner-von neumann potential | LINEAR-SYSTEMS | PERTURBATIONS | SUBORDINACY | discrete Schrodinger operator | ABSOLUTE CONTINUITY | MATHEMATICS | JOST FUNCTIONS | THEOREMS | asymptotics of generalized eigenvectors | INVERSE SCATTERING PROBLEM | HAMILTONIANS | ASYMPTOTICS | Wigner-von Neumann potential | orthogonal polynomials

Journal Article

中国物理B：英文版, ISSN 1674-1056, 2012, Volume 21, Issue 6, pp. 207 - 212

By extending the usual Wigner operator to the s-parameterized one as 1/4π2 integral （dyduexp [iu（q-Q）＋iy（p-P）＋is/2yu]） from n=- ∞ to ∞ with s beng a,real...

广义 | 维格纳 | 排序规则 | 量化 | Weyl群 | 订购 | 求积公式 | 运营商 | generalized operator ordering rule | generalized Wigner operator | bivariate normal distribution | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | COHERENT | QUANTUM-MECHANICS | Quantization | Texts | Operators | Correlation | Order disorder | Quadratures

广义 | 维格纳 | 排序规则 | 量化 | Weyl群 | 订购 | 求积公式 | 运营商 | generalized operator ordering rule | generalized Wigner operator | bivariate normal distribution | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | COHERENT | QUANTUM-MECHANICS | Quantization | Texts | Operators | Correlation | Order disorder | Quadratures

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 05/2012, Volume 27, Issue 16, p. 1250089

s-parametrized quantization is essential to phase space theory of quantum mechanical. Based on s-ordered Wigner operator, we examine the classical...

s-parametrized generalized Wigner operator | s-parametrized quantization scheme | s-ordered operator expansion formula | STATE | PHYSICS, NUCLEAR | DENSITY OPERATORS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

s-parametrized generalized Wigner operator | s-parametrized quantization scheme | s-ordered operator expansion formula | STATE | PHYSICS, NUCLEAR | DENSITY OPERATORS | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2012, Volume 85, Issue 11, p. 114006

We investigate the quark orbital angular momentum of the nucleon in the absence of gauge-field degrees of freedom, by using the concept of the Wigner...

GENERALIZED PARTON DISTRIBUTIONS | SPIN | ASTRONOMY & ASTROPHYSICS | REPRESENTATION | AMPLITUDES | MODEL | BARYONS | PHYSICS, PARTICLES & FIELDS | Nuclear Theory | Physics

GENERALIZED PARTON DISTRIBUTIONS | SPIN | ASTRONOMY & ASTROPHYSICS | REPRESENTATION | AMPLITUDES | MODEL | BARYONS | PHYSICS, PARTICLES & FIELDS | Nuclear Theory | Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 11/2015, Volume 362, pp. 659 - 670

A one-parameter generalized Wigner–Heisenberg algebra (WHA) is reviewed in detail. It is shown that WHA verifies the deformed commutation rule...

Pseudo harmonic oscillator | Sub-Poissonian statistics | Calogero–Sutherland model | Pseudo Gaussian oscillator | Wigner cat states | Squeezing effect | Calogero-Sutherland model | NONCLASSICAL PROPERTIES | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | SINGULAR OSCILLATOR | GENERALIZED COHERENT STATES | FOCK SPACE | BODY CALOGERO PROBLEM | SQUEEZED STATES | SYSTEMS | 3-BODY PROBLEM | EVEN | Algebra | Harmonic analysis | Deformation | Schrodinger equation | Physics | Oscillators

Pseudo harmonic oscillator | Sub-Poissonian statistics | Calogero–Sutherland model | Pseudo Gaussian oscillator | Wigner cat states | Squeezing effect | Calogero-Sutherland model | NONCLASSICAL PROPERTIES | HARMONIC-OSCILLATOR | PHYSICS, MULTIDISCIPLINARY | SINGULAR OSCILLATOR | GENERALIZED COHERENT STATES | FOCK SPACE | BODY CALOGERO PROBLEM | SQUEEZED STATES | SYSTEMS | 3-BODY PROBLEM | EVEN | Algebra | Harmonic analysis | Deformation | Schrodinger equation | Physics | Oscillators

Journal Article

Communications in Theoretical Physics, ISSN 0253-6102, 12/2008, Volume 50, Issue 6, pp. 1299 - 1302

We introduce a kind of generalized Wigner operator, whose normally ordered form can lead to the bivariate normal distribution in p-q phase space. While this...

generalized Wigner operator | Bivariate normal distribution | PHYSICS, MULTIDISCIPLINARY | bivariate normal distribution

generalized Wigner operator | Bivariate normal distribution | PHYSICS, MULTIDISCIPLINARY | bivariate normal distribution

Journal Article

Journal of Theoretical Probability, ISSN 0894-9840, 2018, Volume 33, Issue 1, pp. 268 - 294

We study the distribution (with respect to the vacuum state) of a family of partial sums Sm of position operators on weakly monotone Fock space. We show that...

Monotone independence and convolution | Semicircle law | Generalized Catalan recurrences | Non-commutative probability | INDEPENDENCE | 60B99 | STATISTICS & PROBABILITY | 46L53 | 05A18 | 46L54

Monotone independence and convolution | Semicircle law | Generalized Catalan recurrences | Non-commutative probability | INDEPENDENCE | 60B99 | STATISTICS & PROBABILITY | 46L53 | 05A18 | 46L54

Journal Article

03/2013, ISBN 9781848211506, 216

This book gives an overview of the quantum transport approaches for nanodevices and focuses on the Wigner formalism. It details the implementation of a...

Monte Carlo method | Semiconductors | Particles (Nuclear physics) | Quantum statistics | Solid state physics | Transport theory | Coherent states | Wigner distribution | Nanoelectronics

Monte Carlo method | Semiconductors | Particles (Nuclear physics) | Quantum statistics | Solid state physics | Transport theory | Coherent states | Wigner distribution | Nanoelectronics

Book

Chinese Physics B, ISSN 1674-1056, 05/2010, Volume 19, Issue 5, pp. 050303 - 0503037

By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered...

S-ordered operator expansion formula | Technique of integration within s-ordered product of operators | S-parameterized generalized Wigner operator | S-parameterized quantization scheme | s-parameterized generalized Wigner operator | s-ordered operator expansion formula | s-parameterized quantization scheme | PHYSICS, MULTIDISCIPLINARY | technique of integration within s-ordered product of operators | COHERENT | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | Quantization | Operators | Density | Quantum mechanics | Physics - Quantum Physics

S-ordered operator expansion formula | Technique of integration within s-ordered product of operators | S-parameterized generalized Wigner operator | S-parameterized quantization scheme | s-parameterized generalized Wigner operator | s-ordered operator expansion formula | s-parameterized quantization scheme | PHYSICS, MULTIDISCIPLINARY | technique of integration within s-ordered product of operators | COHERENT | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | Quantization | Operators | Density | Quantum mechanics | Physics - Quantum Physics

Journal Article

Annals of Physics, ISSN 0003-4916, 2008, Volume 323, Issue 6, pp. 1502 - 1528

We show that Newton–Leibniz integration over Dirac’s ket-bra projection operators with continuum variables, which can be performed by the technique of...

Generalized Wigner operator | Bivariate-normal-distribution for normally ordered operators | Entangled Husimi operator | Entangled state representation | Integration for ket-bra operators | The IWOP technique | STATES | the IWOP technique | bivariate-normal-distribution for normally ordered operators | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | LIGHT | COHERENT | entangled state representation | integration for ket-bra operators | generalized Wigner operator | IWOP TECHNIQUE | OPTICS | entangled Husimi operator | Normal distribution | Quantum physics | PHASE SPACE | PROJECTION OPERATORS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS

Generalized Wigner operator | Bivariate-normal-distribution for normally ordered operators | Entangled Husimi operator | Entangled state representation | Integration for ket-bra operators | The IWOP technique | STATES | the IWOP technique | bivariate-normal-distribution for normally ordered operators | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | LIGHT | COHERENT | entangled state representation | integration for ket-bra operators | generalized Wigner operator | IWOP TECHNIQUE | OPTICS | entangled Husimi operator | Normal distribution | Quantum physics | PHASE SPACE | PROJECTION OPERATORS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS

Journal Article

13.
Full Text
Mutual transformations between the P-Q, Q-P, and generalized Weyl ordering of operators

中国物理B：英文版, ISSN 1674-1056, 2014, Volume 23, Issue 3, pp. 119 - 122

Based on the generalized Weyl quantization scheme, which relies on the generalized Wigner operator Ok （p, q） with a real k parameter and can unify the P-Q,...

广义 | 电能质量 | 魏格纳 | Wigner函数 | 相互转化 | 相互转换 | 运营商 | 量子态 | mutual transformation | PHYSICS, MULTIDISCIPLINARY | different operator ordering rules | QUANTUM-MECHANICS | generalized Wigner operator | generalized Weyl quantization scheme | Kernels | Operators | Transformations (mathematics) | Quantization | Texts | Transformations | Order disorder

广义 | 电能质量 | 魏格纳 | Wigner函数 | 相互转化 | 相互转换 | 运营商 | 量子态 | mutual transformation | PHYSICS, MULTIDISCIPLINARY | different operator ordering rules | QUANTUM-MECHANICS | generalized Wigner operator | generalized Weyl quantization scheme | Kernels | Operators | Transformations (mathematics) | Quantization | Texts | Transformations | Order disorder

Journal Article

Quantum Information Processing, ISSN 1570-0755, 12/2016, Volume 15, Issue 12, pp. 5107 - 5118

In this paper, we first define two generalized Wigner–Yanase skew information $$|K_{\rho ,\alpha }|(A)$$ | K ρ , α | ( A ) and $$|L_{\rho ,\alpha }|(A)$$ | L ρ...

Quantum Computing | Symmetrized commutator | Data Structures, Cryptology and Information Theory | Mathematical Physics | Quantum Information Technology, Spintronics | Generalized Wigner–Yanase skew information | Density operator | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | Generalized Wigner-Yanase skew information | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | PHYSICS, MATHEMATICAL | NON-HERMITIAN HAMILTONIANS | Information science

Quantum Computing | Symmetrized commutator | Data Structures, Cryptology and Information Theory | Mathematical Physics | Quantum Information Technology, Spintronics | Generalized Wigner–Yanase skew information | Density operator | Uncertainty relation | Wigner–Yanase skew information | Quantum Physics | Physics | Generalized Wigner-Yanase skew information | Wigner-Yanase skew information | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | PHYSICS, MATHEMATICAL | NON-HERMITIAN HAMILTONIANS | Information science

Journal Article

Advances in Optics and Photonics, ISSN 1943-8206, 2011, Volume 3, Issue 4, pp. 272 - 365

This tutorial gives an overview of the use of the Wigner function as a tool for modeling optical field propagation. Particular emphasis is placed on the...

GENERALIZED RADIOMETRY | PARTIALLY COHERENT FIELDS | PHASE-SPACE DISTRIBUTIONS | FRACTIONAL FOURIER-TRANSFORM | ANGLE WAVE-FIELDS | AMBIGUITY FUNCTION | NONCOMMUTING OPERATORS | OPTICS | QUANTUM-MECHANICS | EXTENDED DEPTH | TIME-FREQUENCY REPRESENTATIONS

GENERALIZED RADIOMETRY | PARTIALLY COHERENT FIELDS | PHASE-SPACE DISTRIBUTIONS | FRACTIONAL FOURIER-TRANSFORM | ANGLE WAVE-FIELDS | AMBIGUITY FUNCTION | NONCOMMUTING OPERATORS | OPTICS | QUANTUM-MECHANICS | EXTENDED DEPTH | TIME-FREQUENCY REPRESENTATIONS

Journal Article

The European Physical Journal C, ISSN 1434-6044, 7/2016, Volume 76, Issue 7, pp. 1 - 16

The Wigner distributions for the u and the d quarks in a proton are calculated using the light-front wave functions of the scalar quark–diquark model for a...

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 | GENERALIZED PARTON DISTRIBUTIONS | SPIN | SCATTERING | PHYSICS, PARTICLES & FIELDS | Quarks | Physics - High Energy Physics - Phenomenology | Physics and Astronomy (miscellaneous) | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear Experiment | Nuclear Theory | Experiment | Engineering (miscellaneous) | Lattice

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 | GENERALIZED PARTON DISTRIBUTIONS | SPIN | SCATTERING | PHYSICS, PARTICLES & FIELDS | Quarks | Physics - High Energy Physics - Phenomenology | Physics and Astronomy (miscellaneous) | Phenomenology | High Energy Physics - Phenomenology | High Energy Physics | Nuclear Experiment | Nuclear Theory | Experiment | Engineering (miscellaneous) | Lattice

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 07/2012, Volume 73, Issue 3, pp. 351 - 364

We consider a discrete Schrodinger operator whose potential is the sum of a Wigner-von Neumann term and a summable term. The essential spectrum of the operator...

discrete Schrödinger operator | Jacobi matrices | pseudogaps | Wigner-von Neumann potential | Asymptotics of generalized eigenvectors | orthogonal polynomials | MATHEMATICS | SYSTEMS | HAMILTONIANS | discrete Schrodinger operator | ABSOLUTE CONTINUITY

discrete Schrödinger operator | Jacobi matrices | pseudogaps | Wigner-von Neumann potential | Asymptotics of generalized eigenvectors | orthogonal polynomials | MATHEMATICS | SYSTEMS | HAMILTONIANS | discrete Schrodinger operator | ABSOLUTE CONTINUITY

Journal Article

理论物理通讯：英文版, ISSN 0253-6102, 2005, Volume 44, Issue 3, pp. 541 - 546

We construct the nonlinear tripartite entangled state representation and the related generalized Wigner operator. Then we discussed the Wigner functions of the...

广义性 | Wigner算子 | IWOP | Wigner函数 | 非线性纠缠 | Generalized Wigner operator | IWOP technique | Nonlinear entangled states | DISTRIBUTIONS | SQUEEZED VACUUM STATES | PHASE | INTEGRATION | OPERATOR | PHYSICS, MULTIDISCIPLINARY | nonlinear entangled states | generalized Wigner operator

广义性 | Wigner算子 | IWOP | Wigner函数 | 非线性纠缠 | Generalized Wigner operator | IWOP technique | Nonlinear entangled states | DISTRIBUTIONS | SQUEEZED VACUUM STATES | PHASE | INTEGRATION | OPERATOR | PHYSICS, MULTIDISCIPLINARY | nonlinear entangled states | generalized Wigner operator

Journal Article

Physics Reports, ISSN 0370-1573, 08/2016, Volume 647, pp. 1 - 46

Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems...

Quasi-bound state | Green's function | Quantum graphs | Bound states | Scattering | PHYSICS, MULTIDISCIPLINARY | CONTACT INTERACTIONS | PERIODIC-ORBIT THEORY | SPECTRAL PROBLEM | ONE HEAR | KIRCHHOFFS RULE | GENERALIZED POINT INTERACTIONS | WIGNERS REACTION MATRIX | SCHRODINGER-OPERATORS | MICROWAVE NETWORKS

Quasi-bound state | Green's function | Quantum graphs | Bound states | Scattering | PHYSICS, MULTIDISCIPLINARY | CONTACT INTERACTIONS | PERIODIC-ORBIT THEORY | SPECTRAL PROBLEM | ONE HEAR | KIRCHHOFFS RULE | GENERALIZED POINT INTERACTIONS | WIGNERS REACTION MATRIX | SCHRODINGER-OPERATORS | MICROWAVE NETWORKS

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 09/2009, Volume 42, Issue 35, pp. 353001 - 353001 (28)

The construction of unitary operator bases in a finite-dimensional Hilbert space is reviewed through a nonstandard approach combining angular momentum theory...

PHASE | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | RACAH ALGEBRA | LINE | QUANTUM-SYSTEMS | MEAN KINGS PROBLEM | PHYSICS, MATHEMATICAL | WIGNER | OPERATORS | Physics - Quantum Physics | Quantum Physics | Physics

PHASE | SYMMETRY | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | RACAH ALGEBRA | LINE | QUANTUM-SYSTEMS | MEAN KINGS PROBLEM | PHYSICS, MATHEMATICAL | WIGNER | OPERATORS | Physics - Quantum Physics | Quantum Physics | Physics

Journal Article

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