Superintegrable deformations of oscillator and Coulomb systems

2019/06/14 by Hovhannes Shmavonyan, Shmavonyan, Hovhannes
Engineering · Physics and Astronomy · #FOS: Physical sciences #Geophysics and Sensor Technology #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1906.06376

openalex publication_date 2019/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Solution of the One-Dimensional N-Body Problems with Quadratic and/or Inversely Quadratic Pair Potentials

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