Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
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| Creator |
Sasaki, Ryu
Yang, Wen-Li Zhang, Yao-Zhong |
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| Description |
Bethe ansatz formulation is presented for several explicit examples of quasi exactly solvable difference equations of one degree of freedom which are introduced recently by one of the present authors. These equations are deformation of the well-known exactly solvable difference equations of the Meixner-Pollaczek, continuous Hahn, continuous dual Hahn, Wilson and Askey-Wilson polynomials. Up to an overall factor of the so-called pseudo ground state wavefunction, the eigenfunctions within the exactly solvable subspace are given by polynomials whose roots are solutions of the associated Bethe ansatz equations. The corresponding eigenvalues are expressed in terms of these roots.
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| Date |
2019-02-19T17:24:36Z
2019-02-19T17:24:36Z 2009 |
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| Type |
Article
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| Identifier |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations / Ryu Sasaki, Wen-Li Yang, Yao-Zhong Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 35Q40; 37N20; 39A70; 82B23 http://dspace.nbuv.gov.ua/handle/123456789/149104 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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