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Noncommutative Simple Harmonic Oscillator in Quantum Gravitational Well

Quantum Physics 2016-06-01 v1

Abstract

This work is mainly based on some theoretical surveys on two dimensional quantum gravitational well, considering harmonic oscillator potential causes an effective plank constant. We find that there is a similarity between two different cases, potential free and oscillator potential in noncommutative phase space in commutative momentum, but in noncommutative, non zero space and momentum The Hamiltonian would a little bit different in energy levels.

Keywords

Cite

@article{arxiv.1605.09373,
  title  = {Noncommutative Simple Harmonic Oscillator in Quantum Gravitational Well},
  author = {Farhad Zekavat},
  journal= {arXiv preprint arXiv:1605.09373},
  year   = {2016}
}

Comments

5 pages

R2 v1 2026-06-22T14:13:12.138Z