Generally covariant quantum mechanics on noncommutative configuration spaces
نویسندگان
چکیده
منابع مشابه
Covariant Quantum Mechanics
It is a commonly accepted belief that there are no substantial difficulties if we refer the question to the wave equation. We simply treat the wave equation, and do not say why, in such a manner as if it was a classical equation. The only problem arising is to find the transformation rule ψ → Trψ for the wave function ψ. This procedure, which on the other hand can be seriously objected, does no...
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We consider Feynman’s path integral approach to quantum mechanics with a noncommutativity in position and momentum sectors of the phase space. We show that a quantum-mechanical system with this kind of noncommutativity is equivalent to the another one with usual commutative coordinates and momenta. We found connection between quadratic classical Hamiltonians, as well as Lagrangians, in their co...
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Quantum mechanics in its presently known formulation requires an external classical time for its description. A classical spacetime manifold and a classical spacetime metric are produced by classical matter fields. In the absence of such classical matter fields, quantum mechanics should be formulated without reference to a classical time. If such a new formulation exists, it follows as a conseq...
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In this work, we develop a general framework in which Noncommutative Quantum Mechanics (NCQM), characterized by a space noncommutativity matrix parameter θ = ǫ k ij θk and a momentum noncommutativity matrix parameter βij = ǫ k ij βk, is showed to be equivalent to QuantumMechanics (QM) on a suitable transformed Quantum Phase Space (QPS). Imposing some constraints on this particular transformatio...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2007
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2804075