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Title: Construction of the noncommutative complex ball

Abstract

We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space D = SU(m, 1)/U(m), with the method of coherent state quantization. In the commutative limit, we obtain the standard manifold. We also consider a quantum field theory model on the noncommutative manifold.

Authors:
 [1]
  1. Dipartimento di Matematica, Università di Roma Tre Largo S. L. Murialdo 1, 00146 Roma (Italy)
Publication Date:
OSTI Identifier:
22306035
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 55; Journal Issue: 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; COMMUTATION RELATIONS; EIGENSTATES; QUANTIZATION; QUANTUM FIELD THEORY; SYMMETRY GROUPS

Citation Formats

Wang, Zhituo, E-mail: zhituo@mat.uniroma3.it. Construction of the noncommutative complex ball. United States: N. p., 2014. Web. doi:10.1063/1.4895018.
Wang, Zhituo, E-mail: zhituo@mat.uniroma3.it. Construction of the noncommutative complex ball. United States. doi:10.1063/1.4895018.
Wang, Zhituo, E-mail: zhituo@mat.uniroma3.it. Mon . "Construction of the noncommutative complex ball". United States. doi:10.1063/1.4895018.
@article{osti_22306035,
title = {Construction of the noncommutative complex ball},
author = {Wang, Zhituo, E-mail: zhituo@mat.uniroma3.it},
abstractNote = {We describe the construction of the noncommutative complex ball whose commutative analog is the Hermitian symmetric space D = SU(m, 1)/U(m), with the method of coherent state quantization. In the commutative limit, we obtain the standard manifold. We also consider a quantum field theory model on the noncommutative manifold.},
doi = {10.1063/1.4895018},
journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 9,
volume = 55,
place = {United States},
year = {2014},
month = {9}
}