Superintegrable deformations of oscillator and Coulomb systems
classification
🧮 math-ph
math.MP
keywords
analoguecomplexcoulombdiscussedmodelsoscillatorconsideredcoordinates
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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.
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