Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915480126619648 |
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| author | Mehrem, Rami |
| author_facet | Mehrem, Rami |
| contents | S-state Bound state solution to Schroedinger equation for an exponential potential is derived using the Mellin transform. This method is a new and an alternative to the usual method of reducing Schroedinegr equation to a Bessel differential equation. It involves solving a first order difference equation using iteration and induction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential Mehrem, Rami Quantum Physics 39-08 S-state Bound state solution to Schroedinger equation for an exponential potential is derived using the Mellin transform. This method is a new and an alternative to the usual method of reducing Schroedinegr equation to a Bessel differential equation. It involves solving a first order difference equation using iteration and induction. |
| title | Using Mellin Transform to Solve Schroedinger Equation for Exponential Potential |
| topic | Quantum Physics 39-08 |
| url | https://arxiv.org/abs/2509.04542 |