Two-dimensional noncommutative gravitational quantum well
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Publication:4599347
DOI10.1088/1751-8121/aa86c4zbMath1379.81051arXiv1705.03945OpenAlexW2613310477MaRDI QIDQ4599347
Gabriel Y. H. Avossevou, Laure Gouba, Latévi Mohamed Lawson
Publication date: 29 December 2017
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03945
Gravitational interaction in quantum theory (81V17) Noncommutative geometry in quantum theory (81R60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)
Related Items (8)
Position-dependent mass in strong quantum gravitational background fields ⋮ Minimal and maximal lengths from position-dependent non-commutativity ⋮ On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field ⋮ Energy level splitting of a 2D hydrogen atom with Rashba coupling in non-commutative space ⋮ Path integral in position-deformed Heisenberg algebra with maximal length uncertainty ⋮ Heat flow and noncommutative quantum mechanics in phase-space ⋮ Twist-deformed gravitational quantum well ⋮ Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space
Cites Work
- On the minimal length uncertainty relation and the foundations of string theory
- Time-space non-commutativity in gravitational quantum well scenario
- Low-energy limits on the antisymmetric tensor field background on the brane and on the noncommutative scale
- $\mathcal {PT}$-symmetric non-commutative spaces with minimal volume uncertainty relations
- Minimal areas fromq-deformed oscillator algebras
- Free-fall in a uniform gravitational field in noncommutative quantum mechanics
- Dynamical noncommutative quantum mechanics
- Strings from position-dependent noncommutativity
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