Construction of the noncommutative complex ball

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4895018· OSTI ID:22306035

Wang, Zhituo ^[1]

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1. Dipartimento di Matematica, Università di Roma Tre Largo S. L. Murialdo 1, 00146 Roma (Italy)

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.

• OSTI ID: 22306035
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 9; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
COMMUTATION RELATIONS
EIGENSTATES
QUANTIZATION
QUANTUM FIELD THEORY
SYMMETRY GROUPS