Superintegrable deformations of oscillator and Coulomb systems

Abstract

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.

arXiv commentPhD Thesis, 113 pages

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