Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition

DOI10.1088/1751-8113/45/5/055210zbMath1235.81081arXiv1009.1944OpenAlexW2078194742MaRDI QIDQ3118846

S. Sree Ranjani, Avinash Khare, A. K. Kapoor, Prasanta K. Panigrahi, Asim Gangopadhyaya

Publication date: 5 March 2012

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

Full work available at URL: https://arxiv.org/abs/1009.1944

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (12)

Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials ⋮ Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials ⋮ Parametric symmetries in exactly solvable real and PT symmetric complex potentials ⋮ Generation of a novel exactly solvable potential ⋮ Supersymmetric quantum mechanics and solvable models ⋮ Quantum Hamilton–Jacobi quantization and shape invariance ⋮ SWKB quantization condition for conditionally exactly solvable systems and the residual corrections ⋮ Inter-relations between additive shape invariant superpotentials ⋮ Exactness of SWKB for shape invariant potentials ⋮ The supersymmetric WKB formalism is not exact for all additive shape invariant potentials ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions ⋮ Exactness of semiclassical quantization rule for broken supersymmetry

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