Essential Self-Adjointness of Semi-Bounded Schrodinger Operators on Birth-Death Chains
2024
Online
report
We study the essential self-adjointness of semi-bounded Schr\"{o}dinger 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 Schr\"{o}dinger 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 Schr\"{o}dinger operator over birth-death chains and derive explicit formulas in these cases.
Comment: 13 pages
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Essential Self-Adjointness of Semi-Bounded Schrodinger Operators on Birth-Death Chains
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Autor/in / Beteiligte Person: | Ku, Sean |
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Veröffentlichung: | 2024 |
Medientyp: | report |
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