Annals of Physics, ISSN 0003-4916, 02/2008, Volume 323, Issue 2, pp. 500 - 526

We show that the technique of integration within normal ordering of operators [Hong-yi Fan, Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480–494] applied to...

Similarity transform and Weyl ordering covariance | Weyl ordering | Weyl ordered Wigner operator | Entangled state representation | Wigner transform | The integration for ket–bra operators | The IWWOP technique | The integration for ket-bra operators | the integration for ket-bra operators | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | FRACTIONAL FOURIER-TRANSFORM | WIGNER-DISTRIBUTION | MODE | the IWWOP technique | entangled state representation | VIRTUE | IWOP TECHNIQUE | SQUEEZED STATES | similarity transform and Weyl ordering covariance | OPTICS | COHERENT-STATE REPRESENTATION | SYMPLECTIC TRANSFORMATIONS | Integrated approach | Mathematics | Statistical analysis | Physics | Quantum theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | SIGNALS | PROJECTION OPERATORS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | TRANSFORMATIONS

Similarity transform and Weyl ordering covariance | Weyl ordering | Weyl ordered Wigner operator | Entangled state representation | Wigner transform | The integration for ket–bra operators | The IWWOP technique | The integration for ket-bra operators | the integration for ket-bra operators | PHASE-SPACE | PHYSICS, MULTIDISCIPLINARY | FRACTIONAL FOURIER-TRANSFORM | WIGNER-DISTRIBUTION | MODE | the IWWOP technique | entangled state representation | VIRTUE | IWOP TECHNIQUE | SQUEEZED STATES | similarity transform and Weyl ordering covariance | OPTICS | COHERENT-STATE REPRESENTATION | SYMPLECTIC TRANSFORMATIONS | Integrated approach | Mathematics | Statistical analysis | Physics | Quantum theory | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | STATISTICS | SIGNALS | PROJECTION OPERATORS | QUANTUM ENTANGLEMENT | QUANTUM MECHANICS | TRANSFORMATIONS

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

Annals of Physics, ISSN 0003-4916, 04/2007, Volume 322, Issue 4, pp. 886 - 902

The Newton–Leibniz integration over Dirac’s ket–bra operators introduced in Ref. [Hong-yi Fan, Hai-liang Lu, Yue Fan, Ann. Phys. 321 (2006) 480–494] is...

The Newton–Leibniz–Berezin integration | Fermi operators | Dirac’s symbolic method | The IWOP technique | The Newton-Leibniz-Berezin integration | Dirac's symbolic method | the IWOP technique | SUPERCONDUCTIVITY | PHYSICS, MULTIDISCIPLINARY | UNITARY OPERATOR | SPACE | the Newton-Leibniz-Berezin integration | INTENSITY INTERFEROMETRY | OPTICS | HANBURY BROWN | COHERENT-STATE REPRESENTATION | D-1 EFFECTIVE INTERACTION | TWISS EXPERIMENT | SYMPLECTIC TRANSFORMATIONS | Quantum theory | Physics | Statistical analysis | SUPERSYMMETRY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | STATISTICS | EIGENSTATES | FERMIONS | PROJECTION OPERATORS | QUANTUM MECHANICS | PARTITION FUNCTIONS

The Newton–Leibniz–Berezin integration | Fermi operators | Dirac’s symbolic method | The IWOP technique | The Newton-Leibniz-Berezin integration | Dirac's symbolic method | the IWOP technique | SUPERCONDUCTIVITY | PHYSICS, MULTIDISCIPLINARY | UNITARY OPERATOR | SPACE | the Newton-Leibniz-Berezin integration | INTENSITY INTERFEROMETRY | OPTICS | HANBURY BROWN | COHERENT-STATE REPRESENTATION | D-1 EFFECTIVE INTERACTION | TWISS EXPERIMENT | SYMPLECTIC TRANSFORMATIONS | Quantum theory | Physics | Statistical analysis | SUPERSYMMETRY | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ANNIHILATION OPERATORS | STATISTICS | EIGENSTATES | FERMIONS | PROJECTION OPERATORS | QUANTUM MECHANICS | PARTITION FUNCTIONS

Journal Article

中国科学：物理学、力学、天文学英文版, ISSN 1674-7348, 2013, Volume 56, Issue 11, pp. 2042 - 2046

We develop quantum mechanical Dirac ket-bra operator＇s integration theory in Q-ordering or P-ordering to multimode case, where Q-ordering means all Qs are to...

压缩算符 | 运营商 | 狄拉克 | 模指数运算 | integration theory in Q-ordering or P -ordering | Q-ordered and P -ordered expansion formulas | multimode exponential operator

压缩算符 | 运营商 | 狄拉克 | 模指数运算 | integration theory in Q-ordering or P -ordering | Q-ordered and P -ordered expansion formulas | multimode exponential operator

Journal Article

Modern Physics Letters B, ISSN 0217-9849, 08/2008, Volume 22, Issue 21, pp. 1965 - 1988

Usually complicated unitary operators in exponential form are hard to handle and the transformation stated by them are not physically clear until these...

Unitary operators for Hilbert transform | Newton-Leibniz integration for ket-bra projective operators | Householder transform | Hardmad transform | Dirac's symbolic method | The IWOP technique | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MODE | PERMUTATION OPERATORS | REPRESENTATION | PHYSICS, MATHEMATICAL | the IWOP technique, unitary operators for Hilbert transform | TRANSFORM | OPTICS | COHERENT-ENTANGLED STATE | QUANTUM-MECHANICS

Unitary operators for Hilbert transform | Newton-Leibniz integration for ket-bra projective operators | Householder transform | Hardmad transform | Dirac's symbolic method | The IWOP technique | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | MODE | PERMUTATION OPERATORS | REPRESENTATION | PHYSICS, MATHEMATICAL | the IWOP technique, unitary operators for Hilbert transform | TRANSFORM | OPTICS | COHERENT-ENTANGLED STATE | QUANTUM-MECHANICS

Journal Article

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, ISSN 1084-7529, 07/2019, Volume 36, Issue 7, pp. 1146 - 1151

By using the technique of integration within ordered product of operators, we put forward the combinatorial optical complex wavelet-fractional Fourier...

OPTICS | INTEGRATION | KET-BRA OPERATORS | FORMULA | MOTHER WAVELETS

OPTICS | INTEGRATION | KET-BRA OPERATORS | FORMULA | MOTHER WAVELETS

Journal Article

7.
Full Text
Time Evolution of the Variance of Squeezed Chaotic State in Amplitude Dissipation Channel

Reports on Mathematical Physics, ISSN 0034-4877, 06/2019, Volume 83, Issue 3, pp. 329 - 338

We explore time evolution of squeezed chaotic state (SCS) in amplitude dissipation channel with damping coefficient κ. By using the technique of integration...

squeezed chaotic state | damping rule for squeezing parameter | variance varying | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL

squeezed chaotic state | damping rule for squeezing parameter | variance varying | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | PHYSICS, MATHEMATICAL

Journal Article

Optics Communications, ISSN 0030-4018, 07/2014, Volume 323, pp. 68 - 76

Using an any number of photons Fock state |m〉 and an even coherent state as inputs of Mach–Zenhder interferometer (MZI), we investigate the quantum...

Quantum metrology | Heisenberg limit | Even coherent state | MECHANICS | OPTICAL METROLOGY | INTERFEROMETRY | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | OPTICS | KET-BRA OPERATORS | Metrology | Photons | Parity | Coherence

Quantum metrology | Heisenberg limit | Even coherent state | MECHANICS | OPTICAL METROLOGY | INTERFEROMETRY | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | OPTICS | KET-BRA OPERATORS | Metrology | Photons | Parity | Coherence

Journal Article

Canadian Journal of Physics, ISSN 0008-4204, 2019, Volume 97, Issue 4, pp. 355 - 359

We in this paper report a new character of laser channel, namely, during squeezed chaotic state evolving in the laser channel. Its density operator keeps...

evolution law | canal (plasma) laser | laser channel | squeezed chaotic state typical parameter | nouvelle caractéristique | état comprimé chaotique | loi d’évolution | paramètre typique | EVOLUTION | PHYSICS, MULTIDISCIPLINARY | DENSITY OPERATOR | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | Quantum optics | Research | Lasers | Chaos theory | Normal distribution | Invariants | Process parameters

evolution law | canal (plasma) laser | laser channel | squeezed chaotic state typical parameter | nouvelle caractéristique | état comprimé chaotique | loi d’évolution | paramètre typique | EVOLUTION | PHYSICS, MULTIDISCIPLINARY | DENSITY OPERATOR | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS | Quantum optics | Research | Lasers | Chaos theory | Normal distribution | Invariants | Process parameters

Journal Article

Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 01/2017, Volume 129, pp. 207 - 211

We find a new relationship between Collins diffraction integration and quantum tomogram. We conclude that the tomogram of quantum state |ψ〉 is just the module...

Collins diffraction integration | IWOP technique | Quantum tomogram | MATRIX | MECHANICS | STATES | TERMS | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | Atoms

Collins diffraction integration | IWOP technique | Quantum tomogram | MATRIX | MECHANICS | STATES | TERMS | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | Atoms

Journal Article

Optics Communications, ISSN 0030-4018, 2009, Volume 282, Issue 24, pp. 4741 - 4744

By introducing the generalized Wigner operator for s-parameterized quasiprobability distribution and employing the technique of integration within ordered...

STATES | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Detectors

STATES | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Detectors

Journal Article

Physica Scripta, ISSN 0031-8949, 03/2015, Volume 90, Issue 3, pp. 35101 - 16

The technique regarding the integration within a normally ordered product of operators, which refers to the creation and annihilation operators of the harmonic...

density operator | hypergeometric coherent states | normally ordered product | NONCLASSICAL PROPERTIES | PHYSICS, MULTIDISCIPLINARY | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | PSEUDOHARMONIC OSCILLATOR | IWOP TECHNIQUE | DIRACS SYMBOLIC METHOD | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | COMBINATORICS | Operators | Mathematical analysis | Coherence | Quantum optics | Representations | Order disorder | Oscillators | Harmonic oscillators

density operator | hypergeometric coherent states | normally ordered product | NONCLASSICAL PROPERTIES | PHYSICS, MULTIDISCIPLINARY | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | PSEUDOHARMONIC OSCILLATOR | IWOP TECHNIQUE | DIRACS SYMBOLIC METHOD | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | COMBINATORICS | Operators | Mathematical analysis | Coherence | Quantum optics | Representations | Order disorder | Oscillators | Harmonic oscillators

Journal Article

Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 08/2009, Volume 80, Issue 2

We construct a generalized phase-space representation (GPSR) based on the idea of Einstein-Podolsky-Rosen quantum entanglement, i.e., we generalize the...

DENSITY-MATRIX | COHERENT-STATE | CALCULUS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | NONCOMMUTING OPERATORS | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

DENSITY-MATRIX | COHERENT-STATE | CALCULUS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | NONCOMMUTING OPERATORS | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

14.
Full Text
Multipartite entangled state representation and squeezing of the n-pair entangled state

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 06/2010, Volume 43, Issue 25, p. 255302

We show that the best way to study the relationship between quantum entanglement and quantum squeezing for the multimode case is through constructing the new...

NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | PHYSICS, MATHEMATICAL

NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | PHYSICS, MATHEMATICAL

Journal Article

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, ISSN 1674-7348, 11/2013, Volume 56, Issue 11, pp. 2042 - 2046

We develop quantum mechanical Dirac ket-bra operator's integration theory in -ordering or -ordering to multimode case, where -ordering means all Qs are to the...

SPACE | integration theory in Q-ordering or B-ordering | STATES | PHYSICS, MULTIDISCIPLINARY | Q-ordered and B-ordered expansion formulas | multimode exponential operator | NEWTON-LEIBNIZ INTEGRATION | QUANTUM-MECHANICS | COORDINATE | Operators | Coordinate transformations | Compressing | Quantum mechanics | Texts | Transformations | Representations | Astronomy

SPACE | integration theory in Q-ordering or B-ordering | STATES | PHYSICS, MULTIDISCIPLINARY | Q-ordered and B-ordered expansion formulas | multimode exponential operator | NEWTON-LEIBNIZ INTEGRATION | QUANTUM-MECHANICS | COORDINATE | Operators | Coordinate transformations | Compressing | Quantum mechanics | Texts | Transformations | Representations | Astronomy

Journal Article

International Journal of Theoretical Physics, ISSN 0020-7748, 10/2016, Volume 55, Issue 10, pp. 4521 - 4531

In exploring the time evolution law of squeezed chaotic state, described by the density operator, ρ 0 = 1 − e k S † r e k a † a S r $\rho _{0}=\left...

Evolution law | Characteristic quantities | Diffusion channel | Squeezed chaotic field | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Quantum controlling | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | DENSITY OPERATOR | STATE REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS

Evolution law | Characteristic quantities | Diffusion channel | Squeezed chaotic field | Theoretical, Mathematical and Computational Physics | Quantum Physics | Physics, general | Quantum controlling | Physics | Elementary Particles, Quantum Field Theory | PHYSICS, MULTIDISCIPLINARY | DENSITY OPERATOR | STATE REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

Chinese Physics Letters, ISSN 0256-307X, 04/2011, Volume 28, Issue 4, p. 040302

We investigate the photon number distribution of squeezed chaotic field (SCF) (a mixed state), by converting the density operator of SCF into its normally...

NEWTON-LEIBNIZ INTEGRATION | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | QUANTUM-MECHANICS

NEWTON-LEIBNIZ INTEGRATION | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

Optik - International Journal for Light and Electron Optics, ISSN 0030-4026, 10/2013, Volume 124, Issue 20, pp. 4215 - 4217

In this paper, we introduce the squeezed displaced Wigner operator. We proved that the squeezed displaced Wigner operator can bring more convenience to...

Wigner functions | Wigner operator | Squeezed states | PARITY OPERATOR | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Mathematical analysis | Operators | Displacement

Wigner functions | Wigner operator | Squeezed states | PARITY OPERATOR | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Mathematical analysis | Operators | Displacement

Journal Article

FRONTIERS OF PHYSICS, ISSN 2095-0462, 08/2014, Volume 9, Issue 4, pp. 460 - 464

For two particles' relative position and total momentum we have introduced the entangled state representation |eta >, and its conjugate state |xi >. In this...

Omega-ordering | integration over ket-bra operators | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | entangled state representation | beta-ordering | QUANTUM-MECHANICS

Omega-ordering | integration over ket-bra operators | PHYSICS, MULTIDISCIPLINARY | MOMENTUM | entangled state representation | beta-ordering | QUANTUM-MECHANICS

Journal Article

Physica Scripta, ISSN 1402-4896, 10/2011, Volume 84, Issue 4, p. 045005

We investigate the photon number distribution of the two-mode squeezed chaotic field. By converting the density operator of the two-mode squeezed chaotic field...

NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | QUANTUM-MECHANICS

NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

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