Lobachevsky geometry in TTW and PW systems
- Авторлар: Hakobyan T.1,2, Nersessian A.1,2, Shmavonyan H.1
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Мекемелер:
- Yerevan State University
- Tomsk Polytechnic University
- Шығарылым: Том 80, № 3 (2017)
- Беттер: 598-604
- Бөлім: Elementary Particles and Fields Theory
- URL: https://journals.rcsi.science/1063-7788/article/view/192070
- DOI: https://doi.org/10.1134/S1063778817030085
- ID: 192070
Дәйексөз келтіру
Аннотация
We review the classical properties of Tremblay–Turbiner–Winternitz and Post–Wintenitz systems and their relation with N-dimensional rational Calogero model with oscillator and Coulomb potentials, paying special attention to their hidden symmetries. Then we show that combining the radial coordinate and momentum in a single complex coordinate in a proper way, we get an elegant description for the hidden and dynamical symmetries in these systems related with action–angle variables.
Авторлар туралы
T. Hakobyan
Yerevan State University; Tomsk Polytechnic University
Хат алмасуға жауапты Автор.
Email: tigran.hakobyan@ysu.am
Армения, 1 Alex Manoogian St., Yerevan, 0025; Lenin Ave. 30, Tomsk, 634050
A. Nersessian
Yerevan State University; Tomsk Polytechnic University
Email: tigran.hakobyan@ysu.am
Армения, 1 Alex Manoogian St., Yerevan, 0025; Lenin Ave. 30, Tomsk, 634050
H. Shmavonyan
Yerevan State University
Email: tigran.hakobyan@ysu.am
Армения, 1 Alex Manoogian St., Yerevan, 0025
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