Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications.
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| Title: | Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications. |
|---|---|
| Authors: | Hamil, B.1 (AUTHOR) hamilbilel@gmail.com, Lütfüoğlu, B. C.2 (AUTHOR) bekir.lutfuoglu@uhk.cz, Ikot, A. N.3 (AUTHOR) ndemikotphysics@gmail.com, Okorie, U. S.4 (AUTHOR) okoriu@unisa.ac.za |
| Source: | Few-Body Systems. Sep2025, Vol. 66 Issue 3, p1-14. 14p. |
| Subjects: | Quantum mechanics, Schrödinger equation, Molecular models, Quantum theory, Thermodynamic functions, Energy levels (Quantum mechanics), Quantum potentials (Quantum mechanics), Wave functions |
| Abstract: | In this work, we investigate the quantum dynamics of a particle subject to the Morse potential within the framework of Dunkl quantum mechanics. By employing the Dunkl derivative operator–which introduces reflection symmetry–we construct a deformed Schrödinger equation and obtain exact analytical solutions using the Pekeris approximation. The resulting energy spectrum and wavefunctions reveal how Dunkl parameters alter the effective potential and vibrational states. The model is applied to several diatomic molecules, including H 2 , HCl, and I 2 , illustrating the impact of symmetry deformation on energy spectra. We also compute thermodynamic functions including the partition function, free energy, internal energy, entropy, and specific heat. The analysis shows that the Dunkl deformation induces distinct thermal behavior and offers a tunable approach to molecular modeling. These results highlight the potential of the Dunkl formalism as a useful tool for extending conventional quantum models and for exploring symmetry-deformed systems in molecular physics and quantum thermodynamics. [ABSTRACT FROM AUTHOR] |
| Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 187261402 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hamil%2C+B%2E%22">Hamil, B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hamilbilel@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Lütfüoğlu%2C+B%2E+C%2E%22">Lütfüoğlu, B. C.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> bekir.lutfuoglu@uhk.cz</i><br /><searchLink fieldCode="AR" term="%22Ikot%2C+A%2E+N%2E%22">Ikot, A. N.</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> ndemikotphysics@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Okorie%2C+U%2E+S%2E%22">Okorie, U. S.</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> okoriu@unisa.ac.za</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Few-Body+Systems%22">Few-Body Systems</searchLink>. Sep2025, Vol. 66 Issue 3, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+mechanics%22">Quantum mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Schrödinger+equation%22">Schrödinger equation</searchLink><br /><searchLink fieldCode="DE" term="%22Molecular+models%22">Molecular models</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Thermodynamic+functions%22">Thermodynamic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+levels+%28Quantum+mechanics%29%22">Energy levels (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+potentials+%28Quantum+mechanics%29%22">Quantum potentials (Quantum mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Wave+functions%22">Wave functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, we investigate the quantum dynamics of a particle subject to the Morse potential within the framework of Dunkl quantum mechanics. By employing the Dunkl derivative operator–which introduces reflection symmetry–we construct a deformed Schrödinger equation and obtain exact analytical solutions using the Pekeris approximation. The resulting energy spectrum and wavefunctions reveal how Dunkl parameters alter the effective potential and vibrational states. The model is applied to several diatomic molecules, including H 2 , HCl, and I 2 , illustrating the impact of symmetry deformation on energy spectra. We also compute thermodynamic functions including the partition function, free energy, internal energy, entropy, and specific heat. The analysis shows that the Dunkl deformation induces distinct thermal behavior and offers a tunable approach to molecular modeling. These results highlight the potential of the Dunkl formalism as a useful tool for extending conventional quantum models and for exploring symmetry-deformed systems in molecular physics and quantum thermodynamics. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00601-025-01999-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Quantum mechanics Type: general – SubjectFull: Schrödinger equation Type: general – SubjectFull: Molecular models Type: general – SubjectFull: Quantum theory Type: general – SubjectFull: Thermodynamic functions Type: general – SubjectFull: Energy levels (Quantum mechanics) Type: general – SubjectFull: Quantum potentials (Quantum mechanics) Type: general – SubjectFull: Wave functions Type: general Titles: – TitleFull: Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hamil, B. – PersonEntity: Name: NameFull: Lütfüoğlu, B. C. – PersonEntity: Name: NameFull: Ikot, A. N. – PersonEntity: Name: NameFull: Okorie, U. S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: Sep2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 01777963 Numbering: – Type: volume Value: 66 – Type: issue Value: 3 Titles: – TitleFull: Few-Body Systems Type: main |
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