Dunkl operator, integrability, and pairwise scattering in rational Calogero model
- Авторлар: Karakhanyan D.1
-
Мекемелер:
- Yerevan Physics Institute
- Шығарылым: Том 80, № 3 (2017)
- Беттер: 520-528
- Бөлім: Elementary Particles and Fields Theory
- URL: https://journals.rcsi.science/1063-7788/article/view/191911
- DOI: https://doi.org/10.1134/S1063778817030103
- ID: 191911
Дәйексөз келтіру
Аннотация
The integrability of the Calogero model can be expressed as zero curvature condition using Dunkl operators. The corresponding flat connections are non-local gauge transformations, which map the Calogero wave functions to symmetrized wave functions of the set of N free particles, i.e. it relates the corresponding scattering matrices to each other. The integrability of the Calogero model implies that any k-particle scattering is reduced to successive pairwise scatterings. The consistency condition of this requirement is expressed by the analog of the Yang–Baxter relation.
Авторлар туралы
David Karakhanyan
Yerevan Physics Institute
Хат алмасуға жауапты Автор.
Email: karakhan@yerphi.am
Армения, Yerevan
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