This article is cited in 2 papers

Coherent states on lie groups and evolution operator of a system of interacting bosons and fermions

L. F. Novikov


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.

Received: 23.03.1976

 English version: Theoretical and Mathematical Physics, 1977, 30:2, 139–145

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