The time-dependent Schrödinger equation of dimension k + 1: explicit and rational solutions via GBDT and multinodes
A version of the binary Darboux transformation is constructed for a non-stationary Schrodinger equation of dimension k + 1, where k > or = 1 is the number of space variables. This is an iterated generalized Backlund-Darboux transformation version. New families of non-singular and rational potenti...
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| Veröffentlicht in: | Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-11, Vol.44 (47), p.475201-12 |
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| container_title | Journal of physics. A, Mathematical and theoretical |
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| creator | Sakhnovich, A L |
| description | A version of the binary Darboux transformation is constructed for a non-stationary Schrodinger equation of dimension k + 1, where k > or = 1 is the number of space variables. This is an iterated generalized Backlund-Darboux transformation version. New families of non-singular and rational potentials and solutions are obtained. Some results are also new for the case that k = 1. A certain generalization of a colligation introduced by M S Livsic and a generalization of the S-node introduced by L A Sakhnovich have been successfully used in our construction. |
| doi_str_mv | 10.1088/1751-8113/44/47/475201 |
| format | Article |
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A certain generalization of a colligation introduced by M S Livsic and a generalization of the S-node introduced by L A Sakhnovich have been successfully used in our construction.</description><subject>Construction</subject><subject>Exact sciences and technology</subject><subject>Mathematical analysis</subject><subject>Physics</subject><subject>Schroedinger equation</subject><subject>Transformations (mathematics)</subject><issn>1751-8121</issn><issn>1751-8113</issn><issn>1751-8121</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqNkNFqFDEUhkNRaF19BcmNUJDpJjOZSVK8sbWtQsEL1-sQkxMbzWamSUbqi_kCfbHO7CyiIigEcsL5_pzDh9BzSk4oEWJNeUsrQWmzZmzN-HTamtADdLRv1PTRL_UhepLzF0JaRmR9hMrmBnDxW6gsDBAtxII_mJt0_8P6-BkShttRF99H3DtsJy7m-fEVv8T0FMPdELzxBetocdpxOuDch3EuM_7mNb46e7PZ9bdjKD72FvJT9NjpkOHZ_l6hj5cXm_O31fX7q3fnr68r00hRKsYMl5aAIAKY063sGt7VTa2dlBScbdsGGset68TEuE9cOyalE4bYmhJimxU6Xv4dUn87Qi5q67OBEHSEfsyKdp0ULaWCTGi3oCb1OSdwakh-q9N3RYmaNavZoJo1K8YU42rRPAVf7GfobHRwSUfj8890zbgkfNp8hV79MWDytjNWkvbh32PoEvf98P-rVX_JLGxNf2PVYF3zAHUUrRU</recordid><startdate>20111125</startdate><enddate>20111125</enddate><creator>Sakhnovich, A L</creator><general>IOP Publishing</general><general>IOP</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20111125</creationdate><title>The time-dependent Schrödinger equation of dimension k + 1: explicit and rational solutions via GBDT and multinodes</title><author>Sakhnovich, A L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c398t-44c79d0e808e4fa596376232af991efd553e3f7df68e80fb7af499f8c0d2100d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Construction</topic><topic>Exact sciences and technology</topic><topic>Mathematical analysis</topic><topic>Physics</topic><topic>Schroedinger equation</topic><topic>Transformations (mathematics)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sakhnovich, A L</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of physics. 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| language | eng |
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| source | Institute of Physics Journals |
| subjects | Construction Exact sciences and technology Mathematical analysis Physics Schroedinger equation Transformations (mathematics) |
| title | The time-dependent Schrödinger equation of dimension k + 1: explicit and rational solutions via GBDT and multinodes |
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