Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles
Integrable quantum mechanical systems for neutral particles with spin \documentclass[12pt]{minimal}\begin{document}$\frac{1}{2}$\end{document} 1 2 and nontrivial dipole momentum are classified. It is demonstrated that such systems give rise to new exactly solvable problems of quantum mechanics with...
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| Veröffentlicht in: | Journal of mathematical physics 2012-12, Vol.53 (12), p.1 |
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| container_title | Journal of mathematical physics |
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| creator | Nikitin, A. G. |
| description | Integrable quantum mechanical systems for neutral particles with spin
\documentclass[12pt]{minimal}\begin{document}$\frac{1}{2}$\end{document}
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and nontrivial dipole momentum are classified. It is demonstrated that such systems give rise to new exactly solvable problems of quantum mechanics with clear physical content. Solutions for three of them are given in explicit form. The related symmetry algebras and superalgebras are discussed. The presented classification is restricted to two-dimensional systems, which admit matrix integrals of motion linear in momenta. |
| doi_str_mv | 10.1063/1.4768464 |
| format | Article |
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and nontrivial dipole momentum are classified. It is demonstrated that such systems give rise to new exactly solvable problems of quantum mechanics with clear physical content. Solutions for three of them are given in explicit form. The related symmetry algebras and superalgebras are discussed. The presented classification is restricted to two-dimensional systems, which admit matrix integrals of motion linear in momenta.</description><identifier>ISSN: 0022-2488</identifier><identifier>EISSN: 1089-7658</identifier><identifier>DOI: 10.1063/1.4768464</identifier><identifier>CODEN: JMAPAQ</identifier><language>eng</language><publisher>Melville, NY: American Institute of Physics</publisher><subject>Algebra ; Classification ; Dipole moment ; Exact sciences and technology ; Integrals ; Mathematical analysis ; Mathematical methods in physics ; Mathematical problems ; Mathematics ; Neutral particles ; Physics ; Quantum mechanics ; Quantum physics ; Schrodinger equation ; Sciences and techniques of general use ; Supersymmetry ; Symmetry ; Two dimensional</subject><ispartof>Journal of mathematical physics, 2012-12, Vol.53 (12), p.1</ispartof><rights>American Institute of Physics</rights><rights>2014 INIST-CNRS</rights><rights>Copyright American Institute of Physics Dec 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c390t-dc006b6c410da99fc36f8680730b9374a0e8a093f9e1eebf9d2d6082e1b8ae7c3</citedby><cites>FETCH-LOGICAL-c390t-dc006b6c410da99fc36f8680730b9374a0e8a093f9e1eebf9d2d6082e1b8ae7c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/jmp/article-lookup/doi/10.1063/1.4768464$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>314,776,780,790,1553,4498,27901,27902,76353,76359</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=26846143$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Nikitin, A. G.</creatorcontrib><title>Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles</title><title>Journal of mathematical physics</title><description>Integrable quantum mechanical systems for neutral particles with spin
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and nontrivial dipole momentum are classified. It is demonstrated that such systems give rise to new exactly solvable problems of quantum mechanics with clear physical content. Solutions for three of them are given in explicit form. The related symmetry algebras and superalgebras are discussed. The presented classification is restricted to two-dimensional systems, which admit matrix integrals of motion linear in momenta.</description><subject>Algebra</subject><subject>Classification</subject><subject>Dipole moment</subject><subject>Exact sciences and technology</subject><subject>Integrals</subject><subject>Mathematical analysis</subject><subject>Mathematical methods in physics</subject><subject>Mathematical problems</subject><subject>Mathematics</subject><subject>Neutral particles</subject><subject>Physics</subject><subject>Quantum mechanics</subject><subject>Quantum physics</subject><subject>Schrodinger equation</subject><subject>Sciences and techniques of general use</subject><subject>Supersymmetry</subject><subject>Symmetry</subject><subject>Two dimensional</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNp90M1q3DAUBWBRGug06aJvYCiBJuDJ1c_I0jKE5gcGEkizFrJ8lWrw2B5JLsyL5QX6YnEyQwqBdnU33z0cDiFfKcwpSH5G56KSSkjxgcwoKF1WcqE-khkAYyUTSn0in1NaAVCqhJiRh5su42O0dWhD3ha2a4o0DhjTdr3GHLdF74t79yv-eWpC94ixvLNjGwrcjDaHvkuF72PR4ZijbYvBxhxci-mIHHjbJvyyv4fk4fLHz4vrcnl7dXNxviwd15DLxgHIWjpBobFae8elV1JBxaHWvBIWUFnQ3GukiLXXDWskKIa0VhYrxw_J913uEPvNiCmbdUgO29Z22I_JUFnRBdcLpSf67R1d9WPspnaGMimZAKbppE52ysU-pYjeDDGsbdwaCuZlYEPNfuDJHu8TbXK29dF2LqS3B_aiqOCTO9255EJ-Xe2_of_Ev_v4F5qh8fwZGOqXpg</recordid><startdate>20121201</startdate><enddate>20121201</enddate><creator>Nikitin, A. G.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope></search><sort><creationdate>20121201</creationdate><title>Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles</title><author>Nikitin, A. G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c390t-dc006b6c410da99fc36f8680730b9374a0e8a093f9e1eebf9d2d6082e1b8ae7c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Algebra</topic><topic>Classification</topic><topic>Dipole moment</topic><topic>Exact sciences and technology</topic><topic>Integrals</topic><topic>Mathematical analysis</topic><topic>Mathematical methods in physics</topic><topic>Mathematical problems</topic><topic>Mathematics</topic><topic>Neutral particles</topic><topic>Physics</topic><topic>Quantum mechanics</topic><topic>Quantum physics</topic><topic>Schrodinger equation</topic><topic>Sciences and techniques of general use</topic><topic>Supersymmetry</topic><topic>Symmetry</topic><topic>Two dimensional</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nikitin, A. G.</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>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nikitin, A. G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles</atitle><jtitle>Journal of mathematical physics</jtitle><date>2012-12-01</date><risdate>2012</risdate><volume>53</volume><issue>12</issue><spage>1</spage><pages>1-</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>Integrable quantum mechanical systems for neutral particles with spin
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and nontrivial dipole momentum are classified. It is demonstrated that such systems give rise to new exactly solvable problems of quantum mechanics with clear physical content. Solutions for three of them are given in explicit form. The related symmetry algebras and superalgebras are discussed. The presented classification is restricted to two-dimensional systems, which admit matrix integrals of motion linear in momenta.</abstract><cop>Melville, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.4768464</doi><tpages>14</tpages></addata></record> |
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| ispartof | Journal of mathematical physics, 2012-12, Vol.53 (12), p.1 |
| issn | 0022-2488 1089-7658 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_1_4768464 |
| source | AIP Journals Complete; AIP Digital Archive; Alma/SFX Local Collection |
| subjects | Algebra Classification Dipole moment Exact sciences and technology Integrals Mathematical analysis Mathematical methods in physics Mathematical problems Mathematics Neutral particles Physics Quantum mechanics Quantum physics Schrodinger equation Sciences and techniques of general use Supersymmetry Symmetry Two dimensional |
| title | Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles |
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