Analytic continuation of eigenvalues of a quartic oscillator

From MaRDI portal
Publication:731341

DOI10.1007/s00220-008-0663-6zbMath1184.34083arXiv0802.1461OpenAlexW2106118166MaRDI QIDQ731341

Alexandre Eremenko, Andrei Gabrielov

Publication date: 2 October 2009

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

Full work available at URL: https://arxiv.org/abs/0802.1461




Related Items (24)

The spectrum of the cubic oscillatorTwelve tales in mathematical physics: An expanded Heineman prize lectureConvergence radii for eigenvalues of tri-diagonal matricesY-system and deformed thermodynamic Bethe AnsatzOn Evgrafov-Fedoryuk's theory and quadratic differentialsOn eigenvalues of the Schrödinger operator with an even complex-valued polynomial potentialBender-Wu singularitiesNew Characterizations for the Eigenvalues of the Prolate Spheroidal Wave EquationLocalization of the states of a \(PT\)-symmetric double wellLevel crossing in random matrices: I. Random perturbation of a fixed matrixOn eigenvalues of the Schrödinger operator with a complex-valued polynomial potentialPoles of Painlevé IV rationals and their distributionAnharmonic oscillators in the complex plane, \(\mathcal{PT}\)-symmetry, and real eigenvaluesSolvable model of quantum phase transitions and the symbolic-manipulation-based study of its multiply degenerate exceptional points and of their unfoldingPainlevé I, coverings of the sphere and Belyi functionsOn the spectral surface of a model two-parameter Sturm–Liouville problemOne-dimensional quasi-exactly solvable Schrödinger equationsResurgent deformation quantisationAsymptotics and Monodromy of the Algebraic Spectrum of Quasi-Exactly Solvable Sextic OscillatorAsymptotics of eigenvalues of non-self-adjoint Schrödinger operators on a half-lineStable components in the parameter plane of transcendental functions of finite typeRoots of generalised Hermite polynomials when both parameters are largeRadial anharmonic oscillator: Perturbation theory, new semiclassical expansion, approximating eigenfunctions. I. Generalities, cubic anharmonicity caseAnharmonic oscillator: a solution



Cites Work


This page was built for publication: Analytic continuation of eigenvalues of a quartic oscillator