The s-ordered operator expansions of one-mode and two-mode Fresnel operators and their applications

DOI10.1007/S10773-016-2981-3zbMath1361.81086OpenAlexW2307829499MaRDI QIDQ518760

Wen-Hai Zhang, Jian-ming Du, Hai-jun Yu, Gang Ren

Publication date: 30 March 2017

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-016-2981-3

zbMATH Keywords

Fresnel operatorIWSOP techniqueP-representations-ordering operator expansion

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Cites Work

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• Coherent State Projection Operator Representation of Symplectic Transformations as a Loyal Representation of Symplectic Group
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• CLASSICAL OPTICAL TRANSFORMS STUDIED IN THE CONTEXT OF QUANTUM OPTICS VIA THE ROUTE OF DEVELOPING DIRAC'S SYMBOLIC METHOD
• INVARIANCE OF WEYL ORDERING OF FERMI OPERATORS UNDER SIMILAR TRANSFORMATIONS
• Coherent and Incoherent States of the Radiation Field
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams

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