Quasi-exactly solvable models based on special functions

DOI10.1063/1.2905153zbMath1152.81404arXiv0803.2929OpenAlexW2006016497MaRDI QIDQ5504935

S. N. Dolya

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2929

Mathematics Subject Classification ID

Quantum optics (81V80) Exactly and quasi-solvable systems arising in quantum theory (81U15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Applications of hypergeometric functions (33C90) Special quantum systems, such as solvable systems (81Q80)

Related Items (2)

The quantum Rabi model: solution and dynamics ⋮ Quadratic Lie algebras and quasiexact solvability of the two-photon Rabi Hamiltonian

Cites Work

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• Quantal problems with partial algebraization of the spectrum
• Quasi-exactly-solvable problems and sl(2) algebra
• NonlinearSU(3) charged and hypercharged coherent states
• Exact isolated solutions for the two-photon Rabi Hamiltonian
• Conditional symmetry and spectrum of the one-dimensional Schrödinger equation
• Space Quantization in a Gyrating Magnetic Field
• Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems

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