Titlebook: Entangled State Representations in Quantum Optics; Xiang-Guo Meng,Ji-Suo Wang,Bao-Long Liang Book 2023 Science Press 2023 Integration meth

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Dynamics of Two-Body Hamiltonian Systems,The theory of representation in quantum mechanics was first proposed by Dirac [1]. At the same time, he also pointed out that in solving specific dynamic problems, choosing the appropriate representation according to the characteristics of the Hamiltonian of the system is conducive to simplifying the calculation and thus greatly saving labor.

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,Wigner Distribution Function and?Quantum Tomogram via?Entangled State Representations,The quasi-probability distribution functions (e.g., Wigner distribution function) in quantum mechanics have important applications in many fields of physics [1, 2, 3].

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Generalized Binomial Theorems and Multi-variable Special Polynomials Involving Hermite Polynomials,Hermite polynomials as a kind of well-known special polynomials can be used widely in mathematics and physics because they possess some fundamental properties (e.g., orthogonality and completeness) and relevant identities (e.g., recurrence formula and generating function).

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Quantum Theory of Mesoscopic Circuit Systems,In recent year, with the rapid development of nanotechnology and microelectronics, mesoscopic circuits have attracted extensive attention of physicists [1, 2, 3, 4].

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