Anderson Hamiltonians with singular potentials
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866918498653962240 |
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| author | Matsuda, Toyomu van Zuijlen, Willem |
| author_facet | Matsuda, Toyomu van Zuijlen, Willem |
| contents | We construct random Schrödinger operators, called Anderson Hamiltonians, with Dirichlet and Neumann boundary conditions for a fairly general class of singular random potentials on bounded domains. Furthermore, we construct the integrated density of states of these Anderson Hamiltonians, and we relate the Lifschitz tails (the asymptotics of the left tails of the integrated density of states) to the left tails of the principal eigenvalues. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_01199 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Anderson Hamiltonians with singular potentials Matsuda, Toyomu van Zuijlen, Willem Probability Spectral Theory Primary. 60H17, 60H25, 60L40, 82B44. Secondary. 35J10, 35P15 We construct random Schrödinger operators, called Anderson Hamiltonians, with Dirichlet and Neumann boundary conditions for a fairly general class of singular random potentials on bounded domains. Furthermore, we construct the integrated density of states of these Anderson Hamiltonians, and we relate the Lifschitz tails (the asymptotics of the left tails of the integrated density of states) to the left tails of the principal eigenvalues. |
| title | Anderson Hamiltonians with singular potentials |
| topic | Probability Spectral Theory Primary. 60H17, 60H25, 60L40, 82B44. Secondary. 35J10, 35P15 |
| url | https://arxiv.org/abs/2211.01199 |