A note on reformed ladder operators for noncommutative morse oscillator
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 e...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Cornell University
2019
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/80438/ http://psasir.upm.edu.my/id/eprint/80438/1/MORSE.pdf |
| _version_ | 1848858904897781760 |
|---|---|
| author | Mohd Shah, Nurisya A. H., Nadhira Chan, K. T. |
| author_facet | Mohd Shah, Nurisya A. H., Nadhira Chan, K. T. |
| author_sort | Mohd Shah, Nurisya |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:20:52Z |
| format | Article |
| id | upm-80438 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:20:52Z |
| publishDate | 2019 |
| publisher | Cornell University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-804382020-11-09T15:16:57Z http://psasir.upm.edu.my/id/eprint/80438/ A note on reformed ladder operators for noncommutative morse oscillator Mohd Shah, Nurisya A. H., Nadhira Chan, K. T. 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. Cornell University 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/80438/1/MORSE.pdf 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 https://arxiv.org/pdf/1905.05183.pdf |
| spellingShingle | Mohd Shah, Nurisya A. H., Nadhira Chan, K. T. A note on reformed ladder operators for noncommutative morse oscillator |
| title | A note on reformed ladder operators for noncommutative morse oscillator |
| title_full | A note on reformed ladder operators for noncommutative morse oscillator |
| title_fullStr | A note on reformed ladder operators for noncommutative morse oscillator |
| title_full_unstemmed | A note on reformed ladder operators for noncommutative morse oscillator |
| title_short | A note on reformed ladder operators for noncommutative morse oscillator |
| title_sort | note on reformed ladder operators for noncommutative morse oscillator |
| url | http://psasir.upm.edu.my/id/eprint/80438/ http://psasir.upm.edu.my/id/eprint/80438/ http://psasir.upm.edu.my/id/eprint/80438/1/MORSE.pdf |