The Limit Spectral Graph in the Semi-Classical Approximation for the Sturm-Liouville Problem With a Complex Polynomial Potential
The limit distribution of the discrete spectrum of the Sturm-Liouville problem with complex-valued polynomial potential on an interval, on a half-axis, and on the entire axis is studied. It is shown that at large parameter values, the eigenvalues are concentrated along the so-called limit spectral g...
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| creator | Shkalikov, A. A Tumanov, S. N |
| description | The limit distribution of the discrete spectrum of the Sturm-Liouville
problem with complex-valued polynomial potential on an interval, on a
half-axis, and on the entire axis is studied. It is shown that at large
parameter values, the eigenvalues are concentrated along the so-called limit
spectral graph; the curves forming this graph are classified. Asymptotics of
eigenvalues along curves of various types in the graph are calculated. |
| doi_str_mv | 10.48550/arxiv.1603.08905 |
| format | Article |
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problem with complex-valued polynomial potential on an interval, on a
half-axis, and on the entire axis is studied. It is shown that at large
parameter values, the eigenvalues are concentrated along the so-called limit
spectral graph; the curves forming this graph are classified. Asymptotics of
eigenvalues along curves of various types in the graph are calculated.</description><identifier>DOI: 10.48550/arxiv.1603.08905</identifier><language>eng</language><subject>Mathematics - Spectral Theory</subject><creationdate>2016-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1603.08905$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1603.08905$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Shkalikov, A. A</creatorcontrib><creatorcontrib>Tumanov, S. N</creatorcontrib><title>The Limit Spectral Graph in the Semi-Classical Approximation for the Sturm-Liouville Problem With a Complex Polynomial Potential</title><description>The limit distribution of the discrete spectrum of the Sturm-Liouville
problem with complex-valued polynomial potential on an interval, on a
half-axis, and on the entire axis is studied. It is shown that at large
parameter values, the eigenvalues are concentrated along the so-called limit
spectral graph; the curves forming this graph are classified. Asymptotics of
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problem with complex-valued polynomial potential on an interval, on a
half-axis, and on the entire axis is studied. It is shown that at large
parameter values, the eigenvalues are concentrated along the so-called limit
spectral graph; the curves forming this graph are classified. Asymptotics of
eigenvalues along curves of various types in the graph are calculated.</abstract><doi>10.48550/arxiv.1603.08905</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Spectral Theory |
| title | The Limit Spectral Graph in the Semi-Classical Approximation for the Sturm-Liouville Problem With a Complex Polynomial Potential |
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