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Noncompact CPN as a phase space of superintegrable systems
International Journal of Modern Physics A ( IF 1.4 ) Pub Date : 2021-04-06 , DOI: 10.1142/s0217751x2150055x
Erik Khastyan , Armen Nersessian 1, 2, 3 , Hovhannes Shmavonyan 1
Affiliation  

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 noncompact 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.

中文翻译:

非紧CPN作为超可积系统的相空间

我们提出了对具有动力学的超可积模型的描述s(1.2)对称性,以及在高维克莱因模型(复射影空间的非紧模拟)方面发挥相空间作用的振荡器和库仑系统的一般超可积变形。我们通过定义s(ñ.1)Kähler 结构的等距。
更新日期:2021-04-06
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