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

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The s-parameterized Weyl-Wigner correspondence in the entangled form and its applications

中国物理：英文版, ISSN 1674-1056, 2010, Volume 19, Issue 6, pp. 52 - 57

Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl-Wigner...

S-parameterized Wigner operator | S-parameterized Weyl-Wigner correspondence | Inte-gration within s-ordered product of operators technique | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | QUANTUM | integration within s-ordered product of operators technique | s-parameterized Wigner operator | OPERATORS | s-parameterized Weyl-Wigner correspondence | Quantum optics | Operators | Entangled states | Representations

S-parameterized Wigner operator | S-parameterized Weyl-Wigner correspondence | Inte-gration within s-ordered product of operators technique | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | QUANTUM | integration within s-ordered product of operators technique | s-parameterized Wigner operator | OPERATORS | s-parameterized Weyl-Wigner correspondence | Quantum optics | Operators | Entangled states | Representations

Journal Article

Optik, ISSN 0030-4026, 03/2012, Volume 123, Issue 5, pp. 395 - 399

Employing the s-ordered operator expansion formula and the technique of integration within s-ordered product of operators, we derive a new photocount formula...

Density operator | s-Ordered operator expansion formula | s-Parameterized photocount formula | The IWSOP technique | QUANTUM THEORY | OPTICS | OPERATORS | Universities and colleges | Mathematical analysis | Density | Operators

Density operator | s-Ordered operator expansion formula | s-Parameterized photocount formula | The IWSOP technique | QUANTUM THEORY | OPTICS | OPERATORS | Universities and colleges | Mathematical analysis | Density | Operators

Journal Article

理论物理通讯：英文版, ISSN 0253-6102, 2007, Volume 48, Issue 5, pp. 823 - 826

Based on the explicit Weyl-ordered form of Wigner operator and the technique of integration within Weylordered product of operators we derive the Weyl-ordered...

方程式 | 数学 | IWOP技术 | 程序化 | IWOP technique | Weyl product | Weyl-ordering | Entangled state | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | entangled state

方程式 | 数学 | IWOP技术 | 程序化 | IWOP technique | Weyl product | Weyl-ordering | Entangled state | PHYSICS, MULTIDISCIPLINARY | QUANTUM-MECHANICS | entangled state

Journal Article

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, ISSN 1674-7348, 10/2010, Volume 53, Issue 10, pp. 1793 - 1798

A general framework applicable to deriving the s-ordered operator expansions is presented in this paper. We firstly deduce the s-ordered operator expansion...

Hermite polynomial | s-ordered operator expansion formula | combined quadrature mu X plus nu P | PHASE-SPACE | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | VIRTUE | IWSOP technique | BOSON OPERATORS | OPTICS | QUANTUM-MECHANICS

Hermite polynomial | s-ordered operator expansion formula | combined quadrature mu X plus nu P | PHASE-SPACE | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | VIRTUE | IWSOP technique | BOSON OPERATORS | OPTICS | QUANTUM-MECHANICS

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 8/2016, Volume 55, Issue 8, pp. 3541 - 3546

By using the technique of integration within the s-ordered product of operators (IWSOP), we first deduce the s-ordered expansion of the one-mode and two-mode...

Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | IWSOP technique | P-representation | Physics | Fresnel operator | Elementary Particles, Quantum Field Theory | S-ordering operator expansion | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | COHERENT

Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | IWSOP technique | P-representation | Physics | Fresnel operator | Elementary Particles, Quantum Field Theory | S-ordering operator expansion | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | COHERENT

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 12/2008, Volume 47, Issue 12, pp. 3234 - 3247

For the first time we introduce an operator Δ h (γ,ε;κ) for studying Husimi distribution function in phase space (γ,ε) for electron’s states in uniform...

Electron’s states | The technique of integration within ordered product (IWOP) | Entangled state representation | Uniform magnetic field | Mathematical and Computational Physics | Husimi operator | Husimi distribution function | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | Electron's states | TOMOGRAPHY | DENSITY-MATRIX | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | LIGHT | MODE | SQUEEZED COHERENT-STATE | INTEGRATION | WIGNER DISTRIBUTION | Magnetic fields

Electron’s states | The technique of integration within ordered product (IWOP) | Entangled state representation | Uniform magnetic field | Mathematical and Computational Physics | Husimi operator | Husimi distribution function | Quantum Physics | Physics, general | Physics | Elementary Particles, Quantum Field Theory | Electron's states | TOMOGRAPHY | DENSITY-MATRIX | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | LIGHT | MODE | SQUEEZED COHERENT-STATE | INTEGRATION | WIGNER DISTRIBUTION | Magnetic fields

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 11/2012, Volume 51, Issue 11, pp. 3393 - 3398

Using the generalized $\bar{s}$ -ordered Wigner operator, in which $\bar{s}$ is a vector over the field of complex numbers, the technique of integration within...

Theoretical, Mathematical and Computational Physics | Multimode quadratic forms | Quantum Physics | Physics, general | IWSOP technique | New operator identities | Physics | s -Ordered operator expansion | Elementary Particles, Quantum Field Theory | s-Ordered operator expansion | PHYSICS, MULTIDISCIPLINARY | OPERATORS

Theoretical, Mathematical and Computational Physics | Multimode quadratic forms | Quantum Physics | Physics, general | IWSOP technique | New operator identities | Physics | s -Ordered operator expansion | Elementary Particles, Quantum Field Theory | s-Ordered operator expansion | PHYSICS, MULTIDISCIPLINARY | OPERATORS

Journal Article

Chinese Physics B, ISSN 1674-1056, 11/2009, Volume 18, Issue 11, pp. 4657 - 4661

By using the technique of integration within an ordered product of operators, the normal ordered density operator of the photon-subtracted squeezed thermal...

Photon-subtraction | Integration with in an ordered product technique | Wigner function | Squeezed thermal state | COHERENT-STATE | MECHANICS | squeezed thermal state | QUANTUM OPTICS | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | integration with in an ordered product technique | LIGHT | KIND | photon-subtraction | Operators | Representations | Density | Coherence

Photon-subtraction | Integration with in an ordered product technique | Wigner function | Squeezed thermal state | COHERENT-STATE | MECHANICS | squeezed thermal state | QUANTUM OPTICS | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | integration with in an ordered product technique | LIGHT | KIND | photon-subtraction | Operators | Representations | Density | Coherence

Journal Article

中国物理：英文版, ISSN 1674-1056, 2011, Volume 20, Issue 5, pp. 49 - 53

Using the technique of integration within an ordered product of operators, we find a new kind of coherent-entangled state （CES）, which exhibits both coherent...

CES | 相干 | Fock空间 | 量子光学 | 纠缠态 | 实验方案 | 应用 | 集成技术 | new coherent-entangled state | squeezing operator | technique of integration within an ordered product of operators | beam splitter | EXCITATIONS | PHYSICS, MULTIDISCIPLINARY | EVEN | Quantum optics | Operators | Entangled states | Representations | Beam splitters | Coherence

CES | 相干 | Fock空间 | 量子光学 | 纠缠态 | 实验方案 | 应用 | 集成技术 | new coherent-entangled state | squeezing operator | technique of integration within an ordered product of operators | beam splitter | EXCITATIONS | PHYSICS, MULTIDISCIPLINARY | EVEN | Quantum optics | Operators | Entangled states | Representations | Beam splitters | Coherence

Journal Article

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New identities about operator Hermite polynomials and their related integration formulas

中国科学：物理学、力学、天文学英文版, ISSN 1674-7348, 2011, Volume 54, Issue 12, pp. 2145 - 2149

By virtue of the technique of integration within an ordered product （IWOP） of operators and the bipartite entangled state representation, we derive some new...

二项式定理 | 双变量 | 整合 | 公式 | 纠缠态 | Hermite多项式 | 运营商 | 单变量 | IWOP technique | integration formulas | Physics, general | operator Hermite polynomials | Physics | Astronomy, Observations and Techniques | Classical Continuum Physics | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | Yuan (China) | Operators | Theorems | China | Entangled states | Hermite polynomials | Representations | Astronomy

二项式定理 | 双变量 | 整合 | 公式 | 纠缠态 | Hermite多项式 | 运营商 | 单变量 | IWOP technique | integration formulas | Physics, general | operator Hermite polynomials | Physics | Astronomy, Observations and Techniques | Classical Continuum Physics | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | Yuan (China) | Operators | Theorems | China | Entangled states | Hermite polynomials | Representations | Astronomy

Journal Article

中国物理B：英文版, ISSN 1674-1056, 2013, Volume 22, Issue 3, pp. 143 - 145

For two unequal-mass particles,we construct the entangled state representation and then derive the corresponding squeezing operator.This squeezing operator has...

粒子 | 双模压缩 | 质量 | 纠缠态表象 | 挤压 | 物理学报 | 运营商 | 量子纠缠 | entangled state representation | integration within an ordered product (IWOP) technique | squeezing operator | PHYSICS, MULTIDISCIPLINARY | Operators | Construction | Compressing | Quantum mechanics | Entanglement | Entangled states | Representations

粒子 | 双模压缩 | 质量 | 纠缠态表象 | 挤压 | 物理学报 | 运营商 | 量子纠缠 | entangled state representation | integration within an ordered product (IWOP) technique | squeezing operator | PHYSICS, MULTIDISCIPLINARY | Operators | Construction | Compressing | Quantum mechanics | Entanglement | Entangled states | Representations

Journal Article

中国科学：物理学、力学、天文学英文版, ISSN 1674-7348, 2011, Volume 54, Issue 8, pp. 1394 - 1397

By virtue of the technique of integration within an ordered product of operators we present a new approach to obtain operators’ normal ordering. We first put...

维格纳 | 订购 | 经营者 | 订货 | 运营商 | 集成技术 | Weyl ordering | Wigner operator | Weyl rule | Physics, general | normal ordering | Physics | Classical Continuum Physics | Astronomy, Observations and Techniques | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | OPTICS | QUANTUM-MECHANICS | Yuan (China)

维格纳 | 订购 | 经营者 | 订货 | 运营商 | 集成技术 | Weyl ordering | Wigner operator | Weyl rule | Physics, general | normal ordering | Physics | Classical Continuum Physics | Astronomy, Observations and Techniques | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | OPTICS | QUANTUM-MECHANICS | Yuan (China)

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 2/2009, Volume 48, Issue 2, pp. 441 - 448

Based on the technique of integration within an ordered product (IWOP) of operators we show that the operator ordering method can lead us to derive new...

Mathematical and Computational Physics | IWOP technique | Quantum Physics | Physics, general | Hermite polynomials | New Integration Formulas | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | EXPANSION

Mathematical and Computational Physics | IWOP technique | Quantum Physics | Physics, general | Hermite polynomials | New Integration Formulas | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | EXPANSION

Journal Article

中国物理：英文版, ISSN 1674-1056, 2009, Volume 18, Issue 12, pp. 5139 - 5143

It is known that exp [iA （Q] P1 - i/2）] is a unitary single-mode squeezing operator, where Q1, P1 are the coordinate and momentum operators, respectively. In...

进出口 | 双模压缩真空态 | 状态模式 | 经营者 | 单一模式 | 变换不变性 | 运营商 | 一体化技术 | Dirac's representation | Integration within an ordered product technique | Squeezing enhanced operator | Squeezed sate | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | integration within an ordered product technique | squeezed sate | squeezing enhanced operator | OPERATORS | Operators | Compressing | Mathematical analysis | Tin | Transformations | Invariance | Representations | Order disorder | Standards

进出口 | 双模压缩真空态 | 状态模式 | 经营者 | 单一模式 | 变换不变性 | 运营商 | 一体化技术 | Dirac's representation | Integration within an ordered product technique | Squeezing enhanced operator | Squeezed sate | QUANTUM OPTICS | PHYSICS, MULTIDISCIPLINARY | integration within an ordered product technique | squeezed sate | squeezing enhanced operator | OPERATORS | Operators | Compressing | Mathematical analysis | Tin | Transformations | Invariance | Representations | Order disorder | Standards

Journal Article

中国科学：物理学、力学、天文学英文版, ISSN 1674-7348, 2012, Volume 55, Issue 8, pp. 1345 - 1350

Corresponding to optical Fresnel diffraction, we show that the exponential quadratic operator exp is actually a generalized single-mode Fresnel operator （GFO）...

广义 | 压缩态 | 单一模式 | 衍射光学 | 菲涅耳 | 运营商 | 相干态表示 | 集成技术 | IWOP technique | Physics, general | Fresnel diffraction | Physics | two-mode Fresnel operator | Astronomy, Observations and Techniques | Classical Continuum Physics | single-mode Fresnel operator | Iwop technique | Single-mode Fresnel operator | Two-mode Fresnel operator | QUANTUM OPTICS | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE

广义 | 压缩态 | 单一模式 | 衍射光学 | 菲涅耳 | 运营商 | 相干态表示 | 集成技术 | IWOP technique | Physics, general | Fresnel diffraction | Physics | two-mode Fresnel operator | Astronomy, Observations and Techniques | Classical Continuum Physics | single-mode Fresnel operator | Iwop technique | Single-mode Fresnel operator | Two-mode Fresnel operator | QUANTUM OPTICS | INTEGRATION | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE

Journal Article

中国科学：物理学、力学、天文学英文版, ISSN 1674-7348, 2012, Volume 55, Issue 5, pp. 762 - 766

In quantum mechanics theory one of the basic operator orderings is Q - P and P - Q ordering, where Q and P are the coordinate operator and the momentum...

坐标算符 | 量子力学理论 | 动量算符 | 公式推导 | 订货 | 操作顺序 | 运营商 | 集成技术 | operator-ordering identities | Wigner operator | mathfrak{Q} | ordering | mathfrak{P} | ordering and | IWOP technique | Physics, general | Physics | Classical Continuum Physics | Astronomy, Observations and Techniques | Operator-ordering identities | Q-ordering and P-ordering | PHASE-SPACE | INTEGRATION | PHYSICS, MULTIDISCIPLINARY

坐标算符 | 量子力学理论 | 动量算符 | 公式推导 | 订货 | 操作顺序 | 运营商 | 集成技术 | operator-ordering identities | Wigner operator | mathfrak{Q} | ordering | mathfrak{P} | ordering and | IWOP technique | Physics, general | Physics | Classical Continuum Physics | Astronomy, Observations and Techniques | Operator-ordering identities | Q-ordering and P-ordering | PHASE-SPACE | INTEGRATION | PHYSICS, MULTIDISCIPLINARY

Journal Article

Chinese Physics B, ISSN 1674-1056, 02/2009, Volume 18, Issue 2, pp. 604 - 610

Using the coherent state representation of Wigner operator and the technique of integration within an ordered product (IWOP) of operators, the Wigner functions...

Even and odd binomial states | Wigner function | Integration within an ordered product (IWOP) technique | Marginal distribution | marginal distribution | even and odd binomial states | PHYSICS, MULTIDISCIPLINARY | COHERENT STATES | integration within an ordered product (IWOP) technique | OPERATORS

Even and odd binomial states | Wigner function | Integration within an ordered product (IWOP) technique | Marginal distribution | marginal distribution | even and odd binomial states | PHYSICS, MULTIDISCIPLINARY | COHERENT STATES | integration within an ordered product (IWOP) technique | OPERATORS

Journal Article

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Operator ordering in quantum optics theory and the development of Dirac's symbolic method

Journal of Optics B: Quantum and Semiclassical Optics, ISSN 1464-4266, 08/2003, Volume 5, Issue 4, pp. R147 - R163

We present a general unified approach for arranging quantum operators of optical fields into ordered products (normal ordering, antinormal ordering, Weyl...

IWOP technique | Entangled state of continuum variables | Nonlinear coherent states | Dirac's symbolic method | PHASE | PHYSICS, APPLIED | INTEGRATION | entangled state of continuum variables | nonlinear coherent states | EVEN | COHERENT-STATE REPRESENTATION

IWOP technique | Entangled state of continuum variables | Nonlinear coherent states | Dirac's symbolic method | PHASE | PHYSICS, APPLIED | INTEGRATION | entangled state of continuum variables | nonlinear coherent states | EVEN | COHERENT-STATE REPRESENTATION

Journal Article

Communications in Theoretical Physics, ISSN 0253-6102, 05/2007, Volume 47, Issue 5, pp. 927 - 932

By using the intermediate coordinate-momentum representation in quantum optics and generating function for the normalization of the excited squeezed vacuum...

Technique of integration within an ordered product of operators | Intermediate coordinatemomentum representation | ESVS | Generating function | eSVS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | LIGHT | generating function | technique of integration within an ordered product of operators | intermediate coordinatemomentum representation

Technique of integration within an ordered product of operators | Intermediate coordinatemomentum representation | ESVS | Generating function | eSVS | PHYSICS, MULTIDISCIPLINARY | QUANTUM | LIGHT | generating function | technique of integration within an ordered product of operators | intermediate coordinatemomentum representation

Journal Article

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