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A note on reformed ladder operators for noncommutative morse oscillator


Mohd Shah, Nurisya and A. H., Nadhira and Chan, K. T. (2019) A note on reformed ladder operators for noncommutative morse oscillator. arxiv, 1. pp. 1-10. ISSN 2331-8422


Morse oscillator is one of the known solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry. One of the interesting results of this study is the generation of ladder operators for Morse potential. The operators are a representation of the shifting energy levels of the states exhibited by the wave function. From this result, we manipulate and deform the operators in such a way that it gives a noncommutative property to promote noncommutative quantum mechanics (NCQM). The resultant NC feature can be shown in the spatial coordinates and finally the Hamiltonian. In this study, we consider two-dimensional Morse potential where the ladder operators are in the form of the corresponding 2D Morse.

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Official URL or Download Paper: https://arxiv.org/pdf/1905.05183.pdf

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Cornell University
Keywords: Non-commutative quantum mechanics; Morse oscillator; Operator method; Ladder operators
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 09 Nov 2020 15:16
Last Modified: 09 Nov 2020 15:16
URI: http://psasir.upm.edu.my/id/eprint/80438
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