On the twofold Moutard transformation of the stationary Schrödinger equation with axial symmetry
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
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| _version_ | 1866913213872865280 |
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| author | Kudryavtsev, Andrey |
| author_facet | Kudryavtsev, Andrey |
| contents | The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two
Moutard transformations can provide new potentials for the eigenvalue problem. Examples of two - dimensional potentials and exact solutions for the stationary axially symmetric Schrödinger equation are obtained as an application of the twofold Moutard transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the twofold Moutard transformation of the stationary Schrödinger equation with axial symmetry Kudryavtsev, Andrey Mathematical Physics The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two Moutard transformations can provide new potentials for the eigenvalue problem. Examples of two - dimensional potentials and exact solutions for the stationary axially symmetric Schrödinger equation are obtained as an application of the twofold Moutard transformation. |
| title | On the twofold Moutard transformation of the stationary Schrödinger equation with axial symmetry |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2401.16064 |