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Three Dimensional Non-Commutative Quantum Mechanics

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In this paper we discussed the three dimensional non-commutative quantum mechanics. We considered the three dimensional non-commutative space with only space-space non-commutativity. We discussed two examples: One is a harmonic oscillator problem and another a Coulomb problem. We used the perturbation method to solve the harmonic oscillator problem in three dimensional non-commutative quantum space. Up to a first order we obtained an energy eigenvalue for this Hamiltonian. In a similar way we obtained an energy eigenvalue for the hydrogen atom model in the three dimensional non-commutative space with only space-space non-commutativity by using the perturbation method.
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Keywords: COULOMB PROBLEM; HARMONIC OSCILLATOR PROBLEM; NON-COMMUTATIVE QUANTUM MECHANICS

Document Type: Research Article

Publication date: September 1, 2015

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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