The spectral determinant for second order elliptic operators on the real line
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910436274733056 |
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| author | Freitas, Pedro Lipovský, Jiří |
| author_facet | Freitas, Pedro Lipovský, Jiří |
| contents | We derive an expression for the spectral determinant of a second-order elliptic differential operator $\mathcal{T}$ defined on the whole real line, in terms of the Wronskians of two particular solutions of the equation $\mathcal{T} u=0$. Examples of application of the resulting formula include the explicit calculation of the determinant of harmonic and anharmonic oscillators with an added bounded potential with compact support. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03469 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The spectral determinant for second order elliptic operators on the real line Freitas, Pedro Lipovský, Jiří Spectral Theory Primary: 34L05, Secondary: 34L40, 58J52 We derive an expression for the spectral determinant of a second-order elliptic differential operator $\mathcal{T}$ defined on the whole real line, in terms of the Wronskians of two particular solutions of the equation $\mathcal{T} u=0$. Examples of application of the resulting formula include the explicit calculation of the determinant of harmonic and anharmonic oscillators with an added bounded potential with compact support. |
| title | The spectral determinant for second order elliptic operators on the real line |
| topic | Spectral Theory Primary: 34L05, Secondary: 34L40, 58J52 |
| url | https://arxiv.org/abs/2405.03469 |