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Quantum mechanics on the circle and W{sub 1+{infinity}}

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Abstract

The algebra W{sub 1+{infinity}}, with central charge c = 0, can be identified with the algebra of quantum observables of a particle moving on a circle. Mathematically, it is the universal enveloping algebra of the Euclidean algebra in two dimensions. Similarly, the super-W{sub {infinity}} algebra is found to be the universal enveloping algebra of the super-Euclidean algebra in two dimensions. (author). 14 refs.
Authors:
Floreanini, R; [1]  Percacci, R; [2]  Sezgin, E
  1. Istituto Nazionale di Fisica Nucleare, Trieste (Italy)
  2. International School of Advanced Studies, Trieste (Italy)
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/205; CTP-TAMU-53/91; ISAS-114/91/EP.
Reference Number:
SCA: 661100; PA: AIX-22:081551; SN: 91000608741
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; ALGEBRA; QUANTIZATION; QUANTUM OPERATORS; SUPERSYMMETRY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10104716
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92609052; CNN: Grant PHY-8907887; TRN: XA9129681081551
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
7 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Floreanini, R, Percacci, R, and Sezgin, E. Quantum mechanics on the circle and W{sub 1+{infinity}}. IAEA: N. p., 1991. Web.
Floreanini, R, Percacci, R, & Sezgin, E. Quantum mechanics on the circle and W{sub 1+{infinity}}. IAEA.
Floreanini, R, Percacci, R, and Sezgin, E. 1991. "Quantum mechanics on the circle and W{sub 1+{infinity}}." IAEA.
@misc{etde_10104716,
title = {Quantum mechanics on the circle and W{sub 1+{infinity}}}
 author = {Floreanini, R, Percacci, R, and Sezgin, E}
 abstractNote = {The algebra W{sub 1+{infinity}}, with central charge c = 0, can be identified with the algebra of quantum observables of a particle moving on a circle. Mathematically, it is the universal enveloping algebra of the Euclidean algebra in two dimensions. Similarly, the super-W{sub {infinity}} algebra is found to be the universal enveloping algebra of the super-Euclidean algebra in two dimensions. (author). 14 refs.}
 place = {IAEA}
 year = {1991}
 month = {Aug}
 }