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Quasi-exactly solvable quartic: real algebraic spectral locus

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Publication:2888598
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DOI10.1088/1751-8113/45/17/175205zbMath1241.81058arXiv1104.4980OpenAlexW3104921593MaRDI QIDQ2888598

Alexandre Eremenko, Andrei Gabrielov

Publication date: 1 June 2012

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

Full work available at URL: https://arxiv.org/abs/1104.4980



Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Explicit solutions, first integrals of ordinary differential equations (34A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Special quantum systems, such as solvable systems (81Q80) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)


Related Items (2)

Convergence radii for eigenvalues of tri-diagonal matrices ⋮ Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painlevé II




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