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DCフィールド | 値 | 言語 |
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dc.contributor.author | Sasaki, Ryu | en |
dc.contributor.alternative | 佐々木, 隆 | ja |
dc.date.accessioned | 2011-05-18T07:12:04Z | - |
dc.date.available | 2011-05-18T07:12:04Z | - |
dc.date.issued | 2011-03-28 | - |
dc.identifier.issn | 1364-503X | - |
dc.identifier.uri | http://hdl.handle.net/2433/140395 | - |
dc.description.abstract | A brief introduction to discrete quantum mechanics is given together with the main results on various exactly solvable systems. Namely, the intertwining relations, shape invariance, Heisenberg operator solutions, annihilation/creation operators and dynamical symmetry algebras, including the q-oscillator algebra and the Askey-Wilson algebra. A simple recipe to construct exactly and quasi-exactly solvable (QES) Hamiltonians in one-dimensional 'discrete' quantum mechanics is presented. It reproduces all the known Hamiltonians whose eigenfunctions consist of the Askey scheme of hypergeometric orthogonal polynomials of a continuous or a discrete variable. Several new exactly and QES Hamiltonians are constructed. The sinusoidal coordinate plays an essential role. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | The Royal Society. | en |
dc.rights | © 2011 The Royal Society. | en |
dc.rights | この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | ja |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.title | Exactly and quasi-exactly solvable 'discrete' quantum mechanics. | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.ncid | AA1110083X | - |
dc.identifier.jtitle | Philosophical transactions. Series A, Mathematical, physical, and engineering sciences | en |
dc.identifier.volume | 369 | - |
dc.identifier.issue | 1939 | - |
dc.identifier.spage | 1301 | - |
dc.identifier.epage | 1318 | - |
dc.relation.doi | 10.1098/rsta.2010.0262 | - |
dc.textversion | author | - |
dc.identifier.pmid | 21320918 | - |
dcterms.accessRights | open access | - |
出現コレクション: | 学術雑誌掲載論文等 |
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