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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19364 |
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| _version_ | 1866910464049414144 |
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| author | Ku, Sean |
| author_facet | Ku, Sean |
| contents | We study the essential self-adjointness of semi-bounded Schrödinger operators on birth-death chains. First, we offer a general characterization which originates from studying a second order linear recurrence with variational coefficients which comes from the Schrödinger operator. As this characterization is algebraically complicated, we present an additional theorem discussing the failure of essential self-adjointness. Finally, we study two specific cases of solutions to equations involving the Schrödinger operator over birth-death chains and derive explicit formulas in these cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19364 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Essential Self-Adjointness of Semi-Bounded Schrodinger Operators on Birth-Death Chains Ku, Sean Functional Analysis 05C63, 39A12 We study the essential self-adjointness of semi-bounded Schrödinger operators on birth-death chains. First, we offer a general characterization which originates from studying a second order linear recurrence with variational coefficients which comes from the Schrödinger operator. As this characterization is algebraically complicated, we present an additional theorem discussing the failure of essential self-adjointness. Finally, we study two specific cases of solutions to equations involving the Schrödinger operator over birth-death chains and derive explicit formulas in these cases. |
| title | Essential Self-Adjointness of Semi-Bounded Schrodinger Operators on Birth-Death Chains |
| topic | Functional Analysis 05C63, 39A12 |
| url | https://arxiv.org/abs/2405.19364 |