Grants

Integrable generalizations of Calogero model
Start:11.12.2015
End:10.12.2017
Ministry of Education and Science of RA, State Committee of Science Contracts (thematic) funding competition in 2015, a field, Physics and Astronomy

Short description

We plan to investigate the hidden symmetries of various extensions of the rational Calogero model. In particular, we will construct an analogue of the Runge-Lenz vector for the Calogero-Coulomb model, associated with arbitrary finite reflection group. We plan to investigate the symmetries of the Calogero- Coulomb and Calogero-oscillator models on high-dimensional sphere and pseudosphere. We will consider also the Calogero-Coulomb-Stark and two-center Calogero-Coulomb problems as well as the extension of the well-known oscillator-Coulomb correspondence in the presence of the Calogero potential.


Project Manager
Armen P. Nersessian, Doctor of Phys. Math. Sciences, Professor 

Staff members

Tigran S. Hakobyan, Doctor of Phys. Math. Sciences, Senior Researcher,
Vahagn R. Yeghikyan, Ph.D, Junior Researcher
Armen A. Saghatelyan,Ph.D, Junior Researcher,
Hovhannes A. Shmavonyan, Master Student

Tel.: (+374 10) 575612
E-mail: arnerses@ysu.am
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