Loading...
Please wait, while we are loading the content...
The Bethe ansatz in a periodic box–ball system and the ultradiscrete Riemann theta function
| Content Provider | Scilit |
|---|---|
| Author | Kuniba, Atsuo Sakamoto, Reiho |
| Copyright Year | 2006 |
| Description | Journal: Journal of Statistical Mechanics: Theory and Experiment Vertex models with quantum group symmetry give rise to integrable cellular automata at q=0. We study a prototype example known as the periodic box-ball system. The initial value problem is solved in terms of an ultradiscrete analogue of the Riemann theta function whose period matrix originates in the Bethe ansatz at q=0. |
| Related Links | http://iopscience.iop.org/article/10.1088/1742-5468/2006/09/P09005/pdf |
| Ending Page | P09005 |
| Page Count | 1 |
| Starting Page | P09005 |
| ISSN | 17425468 |
| e-ISSN | 17425468 |
| DOI | 10.1088/1742-5468/2006/09/p09005 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Issue Number | 9 |
| Volume Number | 2006 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2006-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Statistical Mechanics: Theory and Experiment Mathematical Physics Cellular Automata Bethe Ansatz Theta Function Initial Value Problem Quantum Group |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistical and Nonlinear Physics Statistics, Probability and Uncertainty |