On continuous movement of the discrete spectrum of Schr\"odinger operators
Continuous movement of discrete spectrum of the Schr\"{o}dinger operator $H(z)=-\frac{d^2} {dx^2}+V_0+z V_1$, with $\int_0^\infty {x |V_j(x)| dx} < \infty$, on the half-line is studied as $z$ moves along a continuous path in the complex plane. The analysis provides information regarding the...
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| creator | Namboodiri, M. N. N Kumar, S. Satheesh |
| description | Continuous movement of discrete spectrum of the Schr\"{o}dinger operator
$H(z)=-\frac{d^2} {dx^2}+V_0+z V_1$, with $\int_0^\infty {x |V_j(x)| dx} <
\infty$, on the half-line is studied as $z$ moves along a continuous path in
the complex plane. The analysis provides information regarding the members of
the discrete spectrum of the non-selfadjoint operator that are evolved from the
discrete spectrum of the corresponding selfadjoint operator. |
| doi_str_mv | 10.48550/arxiv.1804.09560 |
| format | Article |
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$H(z)=-\frac{d^2} {dx^2}+V_0+z V_1$, with $\int_0^\infty {x |V_j(x)| dx} <
\infty$, on the half-line is studied as $z$ moves along a continuous path in
the complex plane. The analysis provides information regarding the members of
the discrete spectrum of the non-selfadjoint operator that are evolved from the
discrete spectrum of the corresponding selfadjoint operator.</description><identifier>DOI: 10.48550/arxiv.1804.09560</identifier><language>eng</language><subject>Mathematics - Spectral Theory</subject><creationdate>2018-04</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1804.09560$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1804.09560$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Namboodiri, M. N. N</creatorcontrib><creatorcontrib>Kumar, S. Satheesh</creatorcontrib><title>On continuous movement of the discrete spectrum of Schr\"odinger operators</title><description>Continuous movement of discrete spectrum of the Schr\"{o}dinger operator
$H(z)=-\frac{d^2} {dx^2}+V_0+z V_1$, with $\int_0^\infty {x |V_j(x)| dx} <
\infty$, on the half-line is studied as $z$ moves along a continuous path in
the complex plane. The analysis provides information regarding the members of
the discrete spectrum of the non-selfadjoint operator that are evolved from the
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$H(z)=-\frac{d^2} {dx^2}+V_0+z V_1$, with $\int_0^\infty {x |V_j(x)| dx} <
\infty$, on the half-line is studied as $z$ moves along a continuous path in
the complex plane. The analysis provides information regarding the members of
the discrete spectrum of the non-selfadjoint operator that are evolved from the
discrete spectrum of the corresponding selfadjoint operator.</abstract><doi>10.48550/arxiv.1804.09560</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Spectral Theory |
| title | On continuous movement of the discrete spectrum of Schr\"odinger operators |
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