Noncompact $\mathbf{CP}^N$ as a phase space of superintegrable systems
| Autor: | Khastyan, Erik, Nersessian, Armen, Shmavonyan, Hovhannes |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X2150055X |
| Popis: | We propose the description of superintegrable models with dynamical $so(1.2)$ symmetry, and of the generic superintegrable deformations of oscillator and Coulomb systems in terms of higher-dimensional Klein model (the non-compact analog of complex projective space) playing the role of phase space. We present the expressions of the constants of motion of these systems via Killing potentials defining the $su(N.1)$ isometries of the K\"ahler structure. Comment: 11 pages, misprints corrected |
| Databáze: | arXiv |
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