Classical and quantum aspects of ultradiscrete solitons
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| Description: |
Atsuo Kuniba (Tokyo)
Thursday 02 April 2009, 09:30-10:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems |
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| Created: | 2011-03-10 11:25 | ||||||||
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| Collection: | Discrete Integrable Systems | ||||||||
| Publisher: | Isaac Newton Institute | ||||||||
| Copyright: | Kuniba, A | ||||||||
| Language: | eng (English) | ||||||||
| Distribution: |
World
(downloadable)
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| Explicit content: | No | ||||||||
| Aspect Ratio: | 4:3 | ||||||||
| Screencast: | No | ||||||||
| Bumper: | UCS Default | ||||||||
| Trailer: | UCS Default | ||||||||
| Abstract: | A seminar from the Geometric Aspects of Discrete and Ultra-discrete Integrable Systems conference in association with the Newton Institute programme: Discrete Integrable Systems
http://www.gla.ac.uk/departments/mathematics/research/isamp/events/gadudis/programme/ I shall review how the synthesis of ideas from the classical and quantum integrable systems such as solitons, action-angle variables crystal base and combinatorial Bethe ansatz led to the inverse scattering transform and a complete solution of the initial value problem of the generalized box-ball systems on both infinite and periodic lattices in terms of ultradiscrete/tropical analogues of the tau and the Riemann theta functions. |
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