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Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction

Technical Report:

Abstract

A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2.R) group manifold. Applied to the cotangent bundle of SL(2.R). the method of Hamiltonian reduction allows us to split the reduced system into two coadjoint orbits of the group. We find that the Hilbert space consists of states given by the discrete series of the unitary irreducible representations of SL(2.R). and with a positive-definite, discrete spectrum. (author).
Authors:
Jorjadze, G; [1]  O`Raifeartaigh, L; Tsutsui, I
  1. AN Gruzinskoj SSR, Tbilisi (Georgia). Tbilisskij Matematicheskij Inst.
Publication Date:
Jul 01, 1994
Product Type:
Technical Report
Report Number:
INS-1042
Reference Number:
SCA: 662110; PA: JPN-94:012071; EDB-95:025650; SN: 95001319879
Resource Relation:
Other Information: PBD: Jul 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTIZATION; RELATIVISTIC RANGE; SL GROUPS; UNITARY SYMMETRY; HILBERT SPACE; PARTICLE STRUCTURE; PARTICLE INTERACTIONS; MOTION; MASS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10109232
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE95737163; TRN: JP9412071
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
13 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Jorjadze, G, O`Raifeartaigh, L, and Tsutsui, I. Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction. Japan: N. p., 1994. Web.
Jorjadze, G, O`Raifeartaigh, L, & Tsutsui, I. Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction. Japan.
Jorjadze, G, O`Raifeartaigh, L, and Tsutsui, I. 1994. "Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction." Japan.
@misc{etde_10109232,
title = {Quantization of a relativistic particle on the SL(2.R) manifold based on Hamiltonian reduction}
author = {Jorjadze, G, O`Raifeartaigh, L, and Tsutsui, I}
abstractNote = {A quantum theory is constructed for the system of a relativistic particle with mass m moving freely on the SL(2.R) group manifold. Applied to the cotangent bundle of SL(2.R). the method of Hamiltonian reduction allows us to split the reduced system into two coadjoint orbits of the group. We find that the Hilbert space consists of states given by the discrete series of the unitary irreducible representations of SL(2.R). and with a positive-definite, discrete spectrum. (author).}
place = {Japan}
year = {1994}
month = {Jul}
}