A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schrödinger Operators with Almost Repetition Potentials
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913637208162304 |
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| author | Liu, Wencai |
| author_facet | Liu, Wencai |
| contents | Building on the work of Jitomirskaya-Simon and Jitomirskaya-Liu, who established the absence of eigenvalues for Schrödinger operators with almost reflective repetition potentials, we provide a new proof of the sharp Gordon's lemma, which asserts the absence of eigenvalues for Schrödinger operators with almost repetition potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03157 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schrödinger Operators with Almost Repetition Potentials Liu, Wencai Mathematical Physics Spectral Theory Building on the work of Jitomirskaya-Simon and Jitomirskaya-Liu, who established the absence of eigenvalues for Schrödinger operators with almost reflective repetition potentials, we provide a new proof of the sharp Gordon's lemma, which asserts the absence of eigenvalues for Schrödinger operators with almost repetition potentials. |
| title | A New Proof of the Sharp Gordon's Lemma: No Eigenvalues for Schrödinger Operators with Almost Repetition Potentials |
| topic | Mathematical Physics Spectral Theory |
| url | https://arxiv.org/abs/2501.03157 |