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Group representations via geometric quantization of the momentum map

Technical Report:

Abstract

In this paper, we treat a general method of quantization of Hamiltonian systems whose flow is a subgroup (not necessarily closed) of a torus acting freely and symplectically on the phase space. The quantization of some classes of completely integrable systems as well as the Borel-Weil-Bott version of representation theory are special cases. (author). 14 refs.
Authors:
Mladenov, I M; [1]  Tsanov, V V [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. Sofia Univ., Sofia (Bulgaria). Faculty of Mathematics and Informatics
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/266
Reference Number:
SCA: 661100; PA: AIX-24:008087; SN: 93000932828
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; HAMILTONIAN FUNCTION; QUANTIZATION; LIE GROUPS; MATHEMATICAL MANIFOLDS; PHASE SPACE; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10119390
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93612969; TRN: XA9233077008087
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Mladenov, I M, and Tsanov, V V. Group representations via geometric quantization of the momentum map. IAEA: N. p., 1992. Web.
Mladenov, I M, & Tsanov, V V. Group representations via geometric quantization of the momentum map. IAEA.
Mladenov, I M, and Tsanov, V V. 1992. "Group representations via geometric quantization of the momentum map." IAEA.
@misc{etde_10119390,
title = {Group representations via geometric quantization of the momentum map}
author = {Mladenov, I M, and Tsanov, V V}
abstractNote = {In this paper, we treat a general method of quantization of Hamiltonian systems whose flow is a subgroup (not necessarily closed) of a torus acting freely and symplectically on the phase space. The quantization of some classes of completely integrable systems as well as the Borel-Weil-Bott version of representation theory are special cases. (author). 14 refs.}
place = {IAEA}
year = {1992}
month = {Sep}
}