Nonlinear coherent states of the Fokas-Lagerstrom potential

DOI10.1016/J.PHYSLETA.2020.126656zbMath1448.81368arXiv2003.02606OpenAlexW3009727046MaRDI QIDQ2213265

Yanyan Li

Publication date: 30 November 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02606

zbMATH Keywords

nonlinear coherent statessuperintegrable systemsFokas-Lagerstrom potential

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Coherent states (81R30)

Cites Work

• Quadratic and cubic invariants in classical mechanics
• Coherent states, wavelets and their generalizations
• Generalized hypergeometric functions with applications in statistics and physical sciences
• Construction of the dual family of Gazeau–Klauder coherent states via temporally stable nonlinear coherent states
• SUPERINTEGRABLE SYSTEMS, MULTI-HAMILTONIAN STRUCTURES AND NAMBU MECHANICS IN AN ARBITRARY DIMENSION
• Group theory of the Smorodinsky–Winternitz system
• Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach
• The construction of some important classes of generalized coherent states: the nonlinear coherent states method
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
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