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DCフィールド | 値 | 言語 |
---|---|---|
dc.contributor.author | Sasaki, Ryu | en |
dc.contributor.alternative | 佐々木, 隆 | ja |
dc.date.accessioned | 2009-11-20T01:32:38Z | - |
dc.date.available | 2009-11-20T01:32:38Z | - |
dc.date.issued | 2009-10 | - |
dc.identifier.issn | 00222488 | - |
dc.identifier.uri | http://hdl.handle.net/2433/87411 | - |
dc.description.abstract | Many examples of exactly solvable birth and death processes, a typical stationary Markov chain, are presented together with the explicit expressions of the transition probabilities. They are derived by similarity transforming exactly solvable "matrix" quantum mechanics, which is recently proposed by Odake and the author [S. Odake and R. Sasaki, J. Math. Phys. 49, 053503 (2008)]. The (q-) Askey scheme of hypergeometric orthogonal polynomials of a discrete variable and their dual polynomials play a central role. The most generic solvable birth/death rates are rational functions of qx (with x being the population) corresponding to the q -Racah polynomial. | en |
dc.language.iso | eng | - |
dc.publisher | American Institute of Physics | en |
dc.rights | c 2009 American Institute of Physics. | en |
dc.title | Exactly solvable birth and death processes | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Journal of Mathematical Physics | en |
dc.identifier.volume | 50 | - |
dc.identifier.issue | 10 | - |
dc.relation.doi | 10.1063/1.3215983 | - |
dc.textversion | publisher | - |
dc.identifier.artnum | 103509 | - |
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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