A class of exactly-solvable eigenvalue problems

DOI10.1088/0305-4470/34/46/307zbMath1006.34076arXivmath-ph/0109007OpenAlexW2006122712MaRDI QIDQ4533680

Qing-hai Wang, Carl M. Bender

Publication date: 11 June 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0109007

zbMATH Keywords

orthogonal polynomialseigenvalue problemLaguerre polynomialsAiry function

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Explicit solutions, first integrals of ordinary differential equations (34A05) Applications of boundary value problems involving ordinary differential equations (34B60)

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Analytic regularity for solutions to sums of squares: an assessment ⋮ On the sharp Gevrey regularity for a generalization of the Métivier operator ⋮ The analytical transfer matrix method for PT-symmetric complex potential ⋮ Unnamed Item ⋮ An extended class of \(L^2\)-series solutions of the wave equation ⋮ Non-perturbative calculations for the effective potential of the PT symmetric and non-Hermitian (\(-g\varphi ^{4}\)) field theoretical model ⋮ Solutions of two-mode bosonic and transformed Hamiltonians

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