Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States(Particles and Fields)
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概要
- 論文の詳細を見る
Various examples of exactly solvable 'discrete' quantum mechanics are explored explicitly with emphasis on shape invariance, Heisenberg operator solutions, annihilation-creation operators, the dynamical symmetry algebras and coherent states. The eigenfunctions are the (q-)Askey-scheme of hypergeometric orthogonal polynomials satisfying difference equation versions of the Schrodinger equation. Various reductions (restrictions) of the symmetry algebra of the Askey-Wilson system are explored in detail.
- 理論物理学刊行会の論文
- 2008-04-25
著者
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ODAKE Satoru
Department of Physics, Shinshu University
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SASAKI Ryu
Yukawa Institute for Theoretical Physics, Kyoto University
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Sasaki R
Kyoto Univ. Kyoto Jpn
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Sasaki Ryu
Kyoto Univ. Kyoto Jpn
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Sasaki Ryu
Yukawa Institute For Theoretical Physics Kyoto University
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Odake Satoru
Department Of Physics Shinshu University
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Odake Satoru
Department Of Physics Faculty Of Liberal Arts Shinshu University
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Sasaki Ryu
Max-planck-institute Fur Physik Und Astrophysik
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SASAKI Ryu
Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham
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