arXiv:hep-th/9312061

Integrals of Motion for Kicked Quantum Systems

Vladimir I. Man’ko

Published Dec 8, 1993• 0 citations

Abstract

The generalised quasienergy states are introduced as eigenstates of the new integral of motion for periodically and nonperiodically kicked quantum systems.The photon distribution function of polymode generalised correlated light expressed in terms of multivariable Hermite polynomials is discussed and the relation of its properties to Schrodinger uncertainty relation is given.

DOI: 10.48550/arxiv.hep-th/9312061

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Integrals of Motion for Kicked Quantum Systems

Vladimir I. Man’ko

Published Dec 8, 1993• 0 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.hep-th/9312061

Related papers

Some Rules for Polydimensional Squeezing

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Physical Review AApr 1, 199584 citations

The review of the following results of the Refs. \cite{Sem} - \cite{Ans} is presented: For mixed state light of

N

-mode electromagnetic field described by Wigner function which has generic Gaussian form the photon distribution function is obtained and expressed expliciltly in terms of Hermite polynomials of

2N

-variables.The momenta of this distribution are calculated and expressed as functions of matrix invariants of the dispersion matrix.The role of new uncertainty relation depending on photon state mixing parameter is elucidated.New sum rules for Hermite polynomials of several variables are found.The photon statistics of polymode even and odd coherent light and squeezed polymode Schrödinger cat light is qiven explicitly.Photon distribution for polymode squeezed number states expressed in terms of multivariable Hermite polynomials is discussed.