Morse potential in noncommutative quantum mechanics framework
Morse potential is one of the well-known exact solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry. Unlike harmonic potential, Morse potential describes more accurate results on the interaction of diatomic molecules. This work proposes noncommuta...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Union of Researchers of Macedonia
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/86839/ http://psasir.upm.edu.my/id/eprint/86839/1/Morse%20potential%20in%20noncommutative%20.pdf |
| _version_ | 1848860300570263552 |
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| author | A. H., Nadhira Mohd Shah, Nurisya Chan, Kar Tim |
| author_facet | A. H., Nadhira Mohd Shah, Nurisya Chan, Kar Tim |
| author_sort | A. H., Nadhira |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Morse potential is one of the well-known exact solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry. Unlike harmonic potential, Morse potential describes more accurate results on the interaction of diatomic molecules. This work proposes noncommutative quantum mechanics framework of Morse potential in two-dimensional system. A set up of the Morse potential in terms of its Hamiltonian, generalized commutation relations, deformed ladder operators and their associated energy eigenvalues in noncommutative phase space are highlighted. Discussion on the relation to the case of noncommutative harmonic case is also presented. |
| first_indexed | 2025-11-15T12:43:03Z |
| format | Article |
| id | upm-86839 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:43:03Z |
| publishDate | 2020 |
| publisher | Union of Researchers of Macedonia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-868392021-10-09T23:39:51Z http://psasir.upm.edu.my/id/eprint/86839/ Morse potential in noncommutative quantum mechanics framework A. H., Nadhira Mohd Shah, Nurisya Chan, Kar Tim Morse potential is one of the well-known exact solvable potentials which attracts many applications in quantum mechanics especially in quantum chemistry. Unlike harmonic potential, Morse potential describes more accurate results on the interaction of diatomic molecules. This work proposes noncommutative quantum mechanics framework of Morse potential in two-dimensional system. A set up of the Morse potential in terms of its Hamiltonian, generalized commutation relations, deformed ladder operators and their associated energy eigenvalues in noncommutative phase space are highlighted. Discussion on the relation to the case of noncommutative harmonic case is also presented. Union of Researchers of Macedonia 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/86839/1/Morse%20potential%20in%20noncommutative%20.pdf A. H., Nadhira and Mohd Shah, Nurisya and Chan, Kar Tim (2020) Morse potential in noncommutative quantum mechanics framework. Advances in Mathematics: Scientific Journal, 9 (12). 10895 - 10902. ISSN 1857-8365; ESSN: 1857-8438 https://research-publication.com/?page_id=8126 10.37418/amsj.9.12.73 |
| spellingShingle | A. H., Nadhira Mohd Shah, Nurisya Chan, Kar Tim Morse potential in noncommutative quantum mechanics framework |
| title | Morse potential in noncommutative quantum mechanics framework |
| title_full | Morse potential in noncommutative quantum mechanics framework |
| title_fullStr | Morse potential in noncommutative quantum mechanics framework |
| title_full_unstemmed | Morse potential in noncommutative quantum mechanics framework |
| title_short | Morse potential in noncommutative quantum mechanics framework |
| title_sort | morse potential in noncommutative quantum mechanics framework |
| url | http://psasir.upm.edu.my/id/eprint/86839/ http://psasir.upm.edu.my/id/eprint/86839/ http://psasir.upm.edu.my/id/eprint/86839/ http://psasir.upm.edu.my/id/eprint/86839/1/Morse%20potential%20in%20noncommutative%20.pdf |