On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908870689947648 |
|---|---|
| author | Chakraborty, Arindam |
| author_facet | Chakraborty, Arindam |
| contents | The general forms of Quantum Hamilton Jacobi Equation for a particle of constant mass, position dependent effective mass and non-Hermitian Effective mass Swanson model have been considered. It has been found that the said equations can be recast in the form of Cayley-Klein Riccati equations which admit a Lie-Hamilton structure. The possible expressions of Lie symmetry and Lie Integral have also been considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06643 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation Chakraborty, Arindam Quantum Physics The general forms of Quantum Hamilton Jacobi Equation for a particle of constant mass, position dependent effective mass and non-Hermitian Effective mass Swanson model have been considered. It has been found that the said equations can be recast in the form of Cayley-Klein Riccati equations which admit a Lie-Hamilton structure. The possible expressions of Lie symmetry and Lie Integral have also been considered. |
| title | On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.06643 |