Noncompact $\mathbf{CP}^N$ as a phase space of superintegrable systems
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| Format: | Preprint |
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2020
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| _version_ | 1866909562258325504 |
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| author | Khastyan, Erik Nersessian, Armen Shmavonyan, Hovhannes |
| author_facet | Khastyan, Erik Nersessian, Armen Shmavonyan, Hovhannes |
| contents | 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 Kähler structure. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2003_10002 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Noncompact $\mathbf{CP}^N$ as a phase space of superintegrable systems Khastyan, Erik Nersessian, Armen Shmavonyan, Hovhannes Mathematical Physics High Energy Physics - Theory 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 Kähler structure. |
| title | Noncompact $\mathbf{CP}^N$ as a phase space of superintegrable systems |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2003.10002 |