On conjectures of A. Eremenko and A. Gabrielov for quasi-exactly solvable quartic

DOI10.1007/s11005-013-0611-zzbMath1269.81041OpenAlexW1965607196WikidataQ123118291 ScholiaQ123118291MaRDI QIDQ353298

Evgenii E. Mukhin, Vitaly O. Tarasov

Publication date: 12 July 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-013-0611-z

zbMATH Keywords

one-dimensional Schrödinger operatorsbispectral dualexplicit integration.quasi-exact solvability

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) Exactly and quasi-solvable systems arising in quantum theory (81U15) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (2)

Exactly solvable anharmonic oscillator, degenerate orthogonal polynomials and Painlevé II ⋮ On spectral asymptotic of quasi-exactly solvable quartic potential

Cites Work

• Bispectral and \((\mathfrak{gl}_{N},\mathfrak{gl}_{M})\) dualities
• Quasi-exactly solvable quartic: elementary integrals and asymptotics
• Quasi-exactly solvable quartic potential
• Unnamed Item

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