Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations
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 Meix...
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| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149104 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149104 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491042019-02-20T01:26:32Z Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations Sasaki, Ryu Yang, Wen-Li Zhang, Yao-Zhong 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Sasaki, Ryu Yang, Wen-Li Zhang, Yao-Zhong |
| spellingShingle |
Sasaki, Ryu Yang, Wen-Li Zhang, Yao-Zhong Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sasaki, Ryu Yang, Wen-Li Zhang, Yao-Zhong |
| author_sort |
Sasaki, Ryu |
| title |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations |
| title_short |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations |
| title_full |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations |
| title_fullStr |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations |
| title_full_unstemmed |
Bethe Ansatz Solutions to Quasi Exactly Solvable Difference Equations |
| title_sort |
bethe ansatz solutions to quasi exactly solvable difference equations |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149104 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:32:09Z |
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