Quantum relativistic Toda chain
Investigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex R-matrix. Both independent Bax...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X01000055 |
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| _version_ | 1832550799711928320 |
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| author | G. Pronko Sergei Sergeev |
| author_facet | G. Pronko Sergei Sergeev |
| author_sort | G. Pronko |
| collection | DOAJ |
| description | Investigated is the quantum relativistic periodic Toda chain, to
each site of which the ultra-local Weyl algebra is associated.
Weyl’s q
we are considering here is restricted to be inside the
unit circle. Quantum Lax operators of the model are intertwined by
six-vertex R-matrix. Both independent Baxter’s Q-operators are constructed explicitly as
seria over local Weyl generators. The operator-valued Wronskian of R-matrix. Both independent Baxter’s Qs
is also calculated. |
| format | Article |
| id | doaj-art-aef1dd1292ac40ad80acb3e4951ee892 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-aef1dd1292ac40ad80acb3e4951ee8922025-02-03T06:05:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422001-01-0112476810.1155/S1110757X01000055Quantum relativistic Toda chainG. Pronko0Sergei Sergeev1Institute for High Energy Physics, Protvino, RussiaJoint Institute for Nuclear Research, Dubna, RussiaInvestigated is the quantum relativistic periodic Toda chain, to each site of which the ultra-local Weyl algebra is associated. Weyl’s q we are considering here is restricted to be inside the unit circle. Quantum Lax operators of the model are intertwined by six-vertex R-matrix. Both independent Baxter’s Q-operators are constructed explicitly as seria over local Weyl generators. The operator-valued Wronskian of R-matrix. Both independent Baxter’s Qs is also calculated.http://dx.doi.org/10.1155/S1110757X01000055 |
| spellingShingle | G. Pronko Sergei Sergeev Quantum relativistic Toda chain Journal of Applied Mathematics |
| title | Quantum relativistic Toda chain |
| title_full | Quantum relativistic Toda chain |
| title_fullStr | Quantum relativistic Toda chain |
| title_full_unstemmed | Quantum relativistic Toda chain |
| title_short | Quantum relativistic Toda chain |
| title_sort | quantum relativistic toda chain |
| url | http://dx.doi.org/10.1155/S1110757X01000055 |
| work_keys_str_mv | AT gpronko quantumrelativistictodachain AT sergeisergeev quantumrelativistictodachain |