Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Shmavonyan, Hovhannes"'
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 pr
Externí odkaz:
http://arxiv.org/abs/2003.10002
Publikováno v:
Phys. Rev. D 101, 025003 (2020)
Based on the systematic Hamiltonian and superfield approaches we construct the deformed $\mathcal{N}=4,8$ supersymmetric mechanics on K\"ahler manifolds interacting with constant magnetic field, and study their symmetries. At first we construct the d
Externí odkaz:
http://arxiv.org/abs/1911.06290
Publikováno v:
Phys. Rev. D 101, 045002 (2020)
We construct the $\mathcal{N}=8$ supersymmetric mechanics with potential term whose configuration space is the special K\"ahler manifold of rigid type and show that it can be viewed as the K\"ahler counterpart of $\mathcal{N}=4$ mechanics related to
Externí odkaz:
http://arxiv.org/abs/1908.06490
Autor:
Shmavonyan, Hovhannes
Generalizations of oscillator and Coulomb models are discussed via introduction of holomorphic coordinates. Complex Euclidean analogue of the Smorodinsky-Winternitz system is introduced and studied. Complex projective analogue of Rosochatius model is
Externí odkaz:
http://arxiv.org/abs/1906.06376
Publikováno v:
Phys. Rev. D 99, 085007 (2019)
We propose new superintegrable mechanical system on the complex projective space $\mathbb{CP}^N$ involving a potential term together with coupling to a constant magnetic fields. This system can be viewed as a $\mathbb{CP}^N$-analog of both the flat s
Externí odkaz:
http://arxiv.org/abs/1812.00930
Autor:
Shmavonyan, Hovhannes
We propose the superintegrable generalization of Smorodinsky-Winternitz system on the $N$-dimensional complex Euclidian space which is specified by the presence of constant magnetic field. We find out that in addition to $2N$ Liouville integrals the
Externí odkaz:
http://arxiv.org/abs/1804.03721
Publikováno v:
Phys. Rev. D 95, 025014 (2017)
We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyperboloid. We also consider the duality between these generalized syste
Externí odkaz:
http://arxiv.org/abs/1612.00794
Publikováno v:
Phys.Atom.Nucl. 80(3) 598-604, 2017
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. T
Externí odkaz:
http://arxiv.org/abs/1512.07489
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