Scaling of variables and the relation between noncommutative parameters in Noncommutative Quantum Mechanics
arXiv:hep-th/0509207 · doi:10.1142/S0217732306019840
Abstract
We consider Noncommutative Quantum Mechanics with phase space noncommutativity. In particular, we show that a scaling of variables leaves the noncommutative algebra invariant, so that only the self-consistent effective parameters of the model are physically relevant. We also discuss the recently proposed relation of direct proportionality between the noncommutative parameters, showing that it has a limited applicability.
Revtex4, 4 pages; version to match the published one
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- Remarks on the Noncommutative Gravitational Quantum Well
- Black Holes and Phase Space Noncommutativity
- Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
- Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
- Noncommutative Graphene
- Towards a Noncommutative Astrophysics
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- Exact solution of two dimensional Dunkl harmonic oscillator in Non-Commutative phase-space
- Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors
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- A new kind of representations on noncommutative phase space
- Free-fall in a uniform gravitational field in non-commutative quantum mechanics
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- A coherent-state-based path integral for quantum mechanics on the Moyal plane
- Noncommutative Quantum Cosmology
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- Noncommutative effects in astrophysical objects: a survey