Quasi-exactly solvable quartic: elementary integrals and asymptotics

DOI10.1088/1751-8113/44/31/312001zbMath1225.81050arXiv1104.2305OpenAlexW2019909936MaRDI QIDQ3091644

Alexandre Eremenko, Andrei Gabrielov

Publication date: 12 September 2011

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

Full work available at URL: https://arxiv.org/abs/1104.2305

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

On conjectures of A. Eremenko and A. Gabrielov for quasi-exactly solvable quartic ⋮ Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painlevé II ⋮ On spectral asymptotic of quasi-exactly solvable quartic potential ⋮ On some polynomial potentials in d-dimensions ⋮ Critical graph of a polynomial quadratic differential related to a Schrödinger equation with quartic potential

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