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...

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

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...

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

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 product of operators...

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

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

.... By virtue of the technique of integration within an ordered product (IWOP) of operators, we can disentangle some complicated unitary operators and then reveal their physical role...

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

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

6.
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

...) to vertical bar M eta >(n), where M is an n x n complex matrix, and the technique of integration within an ordered product of operators...

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

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

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 oscillator coherent states, has proved...

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

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 | PHYSICS, MULTIDISCIPLINARY | KET-BRA OPERATORS | QUANTUM-MECHANICS

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

International Journal of Modern Physics B, ISSN 0217-9792, 07/2015, Volume 29, Issue 19, pp. 1550139 - 1-1550139-13

We investigate systematically the evolution of the number state in a laser process by deriving the analytic expression of the density operator and putting it...

Laser theory | the mean photon number | the Wigner function | the second degree of coherence | the Husimi function | the photoncount distribution | the entropy | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | LAW | STATISTICS | MOMENTUM | THERMO FIELD-DYNAMICS | REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | COHERENT-STATE | DIRACS SYMBOLIC METHOD | KET-BRA OPERATORS | QUANTUM-MECHANICS | Functions (mathematics) | Operators | Lasers | Mathematical analysis | Coherence | Evolution | Polynomials | Density

Laser theory | the mean photon number | the Wigner function | the second degree of coherence | the Husimi function | the photoncount distribution | the entropy | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | LAW | STATISTICS | MOMENTUM | THERMO FIELD-DYNAMICS | REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | COHERENT-STATE | DIRACS SYMBOLIC METHOD | KET-BRA OPERATORS | QUANTUM-MECHANICS | Functions (mathematics) | Operators | Lasers | Mathematical analysis | Coherence | Evolution | Polynomials | Density

Journal Article

中国物理B：英文版, ISSN 1674-1056, 2015, Volume 24, Issue 12, pp. 203 - 208

...） in the real-fictitious space. Using the method of integration within ordered product（IWOP） of operators we find that it is a kind of one- and two-mode combinatorial squeezed state...

密度算符 | 混沌 | 热真空态 | 虚拟空间 | 混合状态 | SCL | 双模压缩态 | 应用 | thermal vacuum state | quantum fluctuation of photon number | squeezed chaotic light | second-order degree of coherence | FLUCTUATION | POLYNOMIALS | PHYSICS, MULTIDISCIPLINARY | MESOSCOPIC RLC CIRCUIT | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Operators | Compressing | Chaos theory | Fluctuation | Coherence | Photons | Density | Combinatorial analysis

密度算符 | 混沌 | 热真空态 | 虚拟空间 | 混合状态 | SCL | 双模压缩态 | 应用 | thermal vacuum state | quantum fluctuation of photon number | squeezed chaotic light | second-order degree of coherence | FLUCTUATION | POLYNOMIALS | PHYSICS, MULTIDISCIPLINARY | MESOSCOPIC RLC CIRCUIT | NEWTON-LEIBNIZ INTEGRATION | DENSITY OPERATORS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Operators | Compressing | Chaos theory | Fluctuation | Coherence | Photons | Density | Combinatorial analysis

Journal Article

Optics Communications, ISSN 0030-4018, 2010, Volume 283, Issue 24, pp. 5074 - 5080

We investigate the entanglement and nonlocality properties of one- and two-mode combination squeezed vacuum state (OTCSS, with two-parameter λ and γ) by...

IWOP technique | Teleportation | Entanglement | Nonlocality | QUANTUM STATE | PHASE-SPACE | PRODUCT | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | CRITERION | OPTICS | KET-BRA OPERATORS | Bell's inequality | Quantum teleportation | Channels | Physics - Quantum Physics

IWOP technique | Teleportation | Entanglement | Nonlocality | QUANTUM STATE | PHASE-SPACE | PRODUCT | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | CRITERION | OPTICS | KET-BRA OPERATORS | Bell's inequality | Quantum teleportation | Channels | Physics - Quantum Physics

Journal Article

International Journal of Modern Physics B, ISSN 0217-9792, 03/2014, Volume 28, Issue 8, p. 1450029

We analyze the laser process with three different initial states using the entangled state representation, obtain the evolution law of the mean photon number,...

the specific entropy | Laser theory | the Wigner function | the second degree of coherence | the entropy | the mean photon number | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | DIRACS SYMBOLIC METHOD | EVOLUTION LAW | DYNAMICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

the specific entropy | Laser theory | the Wigner function | the second degree of coherence | the entropy | the mean photon number | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | REPRESENTATION | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | DIRACS SYMBOLIC METHOD | EVOLUTION LAW | DYNAMICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

Chinese Physics Letters, ISSN 0256-307X, 10/2008, Volume 25, Issue 10, pp. 3539 - 3542

Based on the technique of integration within an ordered product of operators we have demonstrated that single-mode mixed states' density matrices can be recast into the normally ordered Gaussian forms [Chin. Phys. Lett. 24 (2007) 3322...

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

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

Journal Article

Modern Physics Letters A, ISSN 0217-7323, 09/2009, Volume 24, Issue 28, pp. 2263 - 2274

Based on Takahashi–Umezawa thermo field dynamics and the order-invariance of Weyl ordered operators under similar transformations, we present a new approach to...

Photon subtracted and added thermo vacuum state | Thermo number state | Wigner functions | Thermo field dynamics | Weyl-ordered operators | FIELD | REPRESENTATION | COHERENT | thermo number state | PHYSICS, NUCLEAR | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | IWOP TECHNIQUE | POLYNOMIALS | DENSITY OPERATOR | ASTRONOMY & ASTROPHYSICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | WEYL CORRESPONDENCE | photon subtracted and added thermo vacuum state | PHYSICS, PARTICLES & FIELDS | Physics - Quantum Physics

Photon subtracted and added thermo vacuum state | Thermo number state | Wigner functions | Thermo field dynamics | Weyl-ordered operators | FIELD | REPRESENTATION | COHERENT | thermo number state | PHYSICS, NUCLEAR | NEWTON-LEIBNIZ INTEGRATION | PHYSICS, MATHEMATICAL | IWOP TECHNIQUE | POLYNOMIALS | DENSITY OPERATOR | ASTRONOMY & ASTROPHYSICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | WEYL CORRESPONDENCE | photon subtracted and added thermo vacuum state | PHYSICS, PARTICLES & FIELDS | Physics - Quantum Physics

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 left of all Ps and -ordering means all Ps...

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

Wuli Xuebao/Acta Physica Sinica, ISSN 1000-3290, 03/2012, Volume 61, Issue 6

One- and two-mode successively squeezed state, obtained through re-squeezing two single mode squeezed states by the two-mode squeezing operator, is studied in terms of the technique of integration...

One-and two-mode successively squeezing operator | Wigner function | Squeezing effect | The IWOP technique | VACUUM | squeezing effect | the IWOP technique | PHYSICS, MULTIDISCIPLINARY | NEWTON-LEIBNIZ INTEGRATION | TELEPORTATION | one- and two-mode successively squeezing operator | ATOM | ONE-MODE | EVEN | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

One-and two-mode successively squeezing operator | Wigner function | Squeezing effect | The IWOP technique | VACUUM | squeezing effect | the IWOP technique | PHYSICS, MULTIDISCIPLINARY | NEWTON-LEIBNIZ INTEGRATION | TELEPORTATION | one- and two-mode successively squeezing operator | ATOM | ONE-MODE | EVEN | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS

Journal Article

Chinese Physics B, ISSN 1674-1056, 05/2008, Volume 17, Issue 5, pp. 1640 - 1644

.... The canonical operator method as mapping of ray-transfer ABCD matrix is explicitly shown by EFO's normally ordered expansion through the coherent state representation and the technique of integration...

Quantum optical ABCD theorem | Fresnel operator | ROUTE | quantum optical ABCD theorem | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | REPRESENTATION | COHERENT | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS

Quantum optical ABCD theorem | Fresnel operator | ROUTE | quantum optical ABCD theorem | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | REPRESENTATION | COHERENT | NEWTON-LEIBNIZ INTEGRATION | KET-BRA OPERATORS

Journal Article

Science China: Physics, Mechanics and Astronomy, ISSN 1674-7348, 09/2010, Volume 53, Issue 9, pp. 1626 - 1630

Dirac's ket-bra formalism is the language of quantum mechanics. We have reviewed how to apply Newton-Leibniz integration rules to Dirac's ket-bra projectors in previous work...

Laguerre and Hermite polynomials | operator ordering identities | the IWOP technique | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | COHERENT | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Yuan (China) | Projectors | Usage | Methods | Operators | Mathematical analysis | Quantum mechanics | China | Hermite polynomials | Order disorder | Formalism | Astronomy

Laguerre and Hermite polynomials | operator ordering identities | the IWOP technique | PHYSICS, MULTIDISCIPLINARY | ENTANGLED STATE | COHERENT | VIRTUE | NEWTON-LEIBNIZ INTEGRATION | OPTICS | KET-BRA OPERATORS | QUANTUM-MECHANICS | Yuan (China) | Projectors | Usage | Methods | Operators | Mathematical analysis | Quantum mechanics | China | Hermite polynomials | Order disorder | Formalism | Astronomy

Journal Article

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