Hovhannes Shmavonyan
Published 2019-06-14Version 1
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 also discussed. Supersymmetric extensions of these models are considered.
Comments: PhD Thesis, 113 pages
Statistical mechanics of Coulomb systems: From electrons and nuclei to atoms and molecules
Superintegrable Deformations of the Smorodinsky-Winternitz Hamiltonian
An infinite family of superintegrable deformations of the Coulomb potential
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