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1977

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September

  

Reviews of topical problems


Generalized coherent states and some of their applications

The review is devoted to an analysis of definite overcomplete non-orthogonal state systems that are connected with irreducible representations of Lie groups–the so called systems of generalized coherent states. These systems, which the author is the first to propose, are generalizations of Glauber's coherentstate system and arise in natural fashion in physical problems that have dynamic symmetry. They permit a considerable simplification of the solution of the quantum problem by reducing it to a simpler ``classical'' problem. The review deals with the properties of generalized-coherent-state systems connected with the simplest Lie groups.

PACS: 03.65.Fd, 02.20.Qs (all)
DOI: 10.1070/PU1977v020n09ABEH005459
URL: https://ufn.ru/en/articles/1977/9/b/
Citation: Perelomov A M "Generalized coherent states and some of their applications" Sov. Phys. Usp. 20 703–720 (1977)
BibTexBibNote ® (generic)BibNote ® (RIS)Medline RefWorks
RT Journal
T1 Generalized coherent states and some of their applications
A1 Perelomov,A.M.
PB Physics-Uspekhi
PY 1977
FD 10 Sep, 1977
JF Physics-Uspekhi
JO Phys. Usp.
VO 20
IS 9
SP 703-720
DO 10.1070/PU1977v020n09ABEH005459
LK https://ufn.ru/en/articles/1977/9/b/

Оригинал: Переломов А М «Обобщенные когерентные состояния и некоторые их применения» УФН 123 23–55 (1977); DOI: 10.3367/UFNr.0123.197709b.0023

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