Generalized coherent states and their applications. (Обобщенные когерентные состояния и их применения.) (Russian) Zbl 0672.22019

Perelomov, A. M.

Moskva: Nauka. 270 p. R. 2.50 (1987).

See the review of the English edition (Springer 1986) in Zbl 0605.22013.

MSC:

22E70	Applications of Lie groups to the sciences; explicit representations
22-02	Research exposition (monographs, survey articles) pertaining to topological groups
81-02	Research exposition (monographs, survey articles) pertaining to quantum theory
81R30	Coherent states
22E43	Structure and representation of the Lorentz group

Keywords:

real Heisenberg nilpotent Lie group; Lorentz group; applications to; physics; noncommutative harmonic analysis; coherent states; oscillator representation; metaplectic group; Maslov index