Painlevé transcendents and -symmetric Hamiltonians

DOI10.1088/1751-8113/48/47/475202zbMath1330.81091arXiv1502.04089OpenAlexW2963943938MaRDI QIDQ3462491

Javad Komijani, Carl M. Bender

Publication date: 15 January 2016

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

Full work available at URL: https://arxiv.org/abs/1502.04089

zbMATH Keywords

eigenvalueasymptoticWKBsemiclassicalseparatrix

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (13)

Connection problem of the first Painlevé transcendents with large initial data ⋮ 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 ⋮ Quantum spectral problems and isomonodromic deformations ⋮ On the connection problem for the second Painlevé equation with large initial data ⋮ Connection Problem of the First Painlevé Transcendent Between Poles and Negative Infinity ⋮ Non-perturbative approaches to the quantum Seiberg-Witten curve ⋮ Notes on matrix models (matrix musings) ⋮ Resurgent trans-series for generalized Hastings–McLeod solutions ⋮ Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I ⋮ Resurgence, Painlevé equations and conformal blocks ⋮ First-order nonlinear eigenvalue problems involving functions of a general oscillatory behavior

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