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Noncommutative Simple Harmonic Oscillator in Quantum Gravitational Well

2016/05/28 by Farhad Zekavat, Zekavat, Farhad
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.1605.09373

openalex publication_date 2016/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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