Nonlinear eigenvalue problems

DOI10.1088/1751-8113/47/23/235204zbMath1295.65083arXiv1401.6161OpenAlexW3099229459MaRDI QIDQ5495123

Javad Komijani, Carl M. Bender, Andreas Fring

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1401.6161

zbMATH Keywords

eigenvalueinitial-value problemasymptoticoscillationsWKBsemiclassicalseparatrixquantum wave functionfirst Painlevé transcendentSchrödinger eigenvalue problem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Power series, series of functions of several complex variables (32A05) Nonlinear ordinary differential operators (34L30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Other wave functions (33E15)

Related Items (5)

Addendum: Painlevé transcendents and PT -symmetric Hamiltonians (2015 J. Phys. A: Math. Theor. 48 475202) ⋮ Nonlinear eigenvalue problems for generalized Painlevé equations ⋮ Nonlinear eigenvalue problems ⋮ Winding in non-Hermitian systems ⋮ First-order nonlinear eigenvalue problems involving functions of a general oscillatory behavior

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