Quantum mechanics with coordinate dependent noncommutativity

Noncommutative quantum mechanics can be considered as a first step in the construction of quantum field theory on noncommutative spaces of generic form, when the commutator between coordinates is a function of these coordinates. In this paper we discuss the mathematical framework of such a theory. T...

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Veröffentlicht in:	Journal of mathematical physics 2013-11, Vol.54 (11), p.1
1. Verfasser:	Kupriyanov, V. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	ALGEBRA CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Commutation COMMUTATION RELATIONS COMMUTATORS Construction COORDINATES DEFORMATION Field theory FUNCTIONS Functions (mathematics) HARMONIC OSCILLATORS Invariants Manifolds Mathematical analysis Physics Poisson distribution POISSON EQUATION QUANTUM FIELD THEORY QUANTUM MECHANICS Quantum physics Quantum theory SPACE Topological manifolds
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