Abstract:
Matrix elements of the evolution operator of boson-fermion system between coherent
states are calculated by means of the method of coherent states on the Lie groups. It is shown that the dynamics of a quantized system of interacting bosons and fermions with
finite number of the degrees of freedom and three-particle interaction Hamiltonian can
be described by means of a certain trajectory in the direct product of the rotation group
and the group of border matrices. Differential equation determining this trajectory is derived.
Citation:
L. F. Novikov, “Coherent states on lie groups and evolution operator of a system of interacting bosons and fermions”, TMF, 30:2 (1977), 218–227; Theoret. and Math. Phys., 30:2 (1977), 139–145
\Bibitem{Nov77}
\by L.~F.~Novikov
\paper Coherent states on~lie groups and evolution operator of a~system of~interacting bosons and fermions
\jour TMF
\yr 1977
\vol 30
\issue 2
\pages 218--227
\mathnet{http://mi.mathnet.ru/tmf2784}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=443622}
\zmath{https://zbmath.org/?q=an:0362.22019|0413.22010}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 30
\issue 2
\pages 139--145
\crossref{https://doi.org/10.1007/BF01029287}
Linking options:
https://www.mathnet.ru/eng/tmf2784
https://www.mathnet.ru/eng/tmf/v30/i2/p218
This publication is cited in the following 2 articles:
A. V. Gorokhov, V. A. Mikhailov, “Coherent states and integrals over trajectories for the dynamic group SU(N)”, Soviet Physics Journal, 28:7 (1985), 572
L. F. Novikov, “Path integral over a c-number measure for interacting bosons and fermions”, Theoret. and Math. Phys., 54:2 (1983), 123–133
Citation in format AMSBIB
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