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Teoreticheskaya i Matematicheskaya Fizika, 1975, Volume 24, Number 2, Pages 164–176 (Mi tmf3980)  
This article is cited in 16 scientific papers (total in 16 papers)

Invariants, Green's function, and coherent states of dynamical systems

V. V. Dodonov, I. A. Malkin, V. I. Man'ko
Full-text PDF (726 kB) Citations (16)
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Abstract: The relation between the Green function of a dynamical system and the integrals of the motion which are the operators of initial coordinates and momenta of the system is obtained. The Green function of a system with rather arbitrary hamiltonian, both hermitian and nonhermitian, is shown to be the eigenfunction of the invariant operator of initial coordinate. The quantum system with general quadratic hamiltonian and the singular nonstationary oscillator are discussed as examples.
Received: 13.11.1974
English version:
Theoretical and Mathematical Physics, 1975, Volume 24, Issue 2, Pages 746–754
DOI: https://doi.org/10.1007/BF01029057
Bibliographic databases:
Language: Russian
Citation: V. V. Dodonov, I. A. Malkin, V. I. Man'ko, “Invariants, Green's function, and coherent states of dynamical systems”, TMF, 24:2 (1975), 164–176; Theoret. and Math. Phys., 24:2 (1975), 746–754
Citation in format AMSBIB
\Bibitem{DodMalMan75}
\by V.~V.~Dodonov, I.~A.~Malkin, V.~I.~Man'ko
\paper Invariants, Green's function, and coherent states of dynamical systems
\jour TMF
\yr 1975
\vol 24
\issue 2
\pages 164--176
\mathnet{http://mi.mathnet.ru/tmf3980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=468876}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 2
\pages 746--754
\crossref{https://doi.org/10.1007/BF01029057}
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  • https://www.mathnet.ru/eng/tmf/v24/i2/p164
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:46
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