Irreducibility of some spectral determinants

Abstract

This is a complement to our paper arXiv:0802.1461. We study irreducibility of spectral determinants of some one-parametric eigenvalue problems in dimension one with polynomial potentials.

References in corpus (4)

• Quasi-exactly solvable quartic potential
• Analytic continuation of eigenvalues of a quartic oscillator
• Spectral gaps of Schrödinger operators with periodic singular potentials
• Convergence Radii for Eigenvalues of Tri--diagonal Matrices

Cited by in corpus (5)

• Quasi-exactly solvable quartic: elementary integrals and asymptotics
• On eigenvalues of the Schrödinger operator with a complex-valued polynomial potential
• Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families
• Convergence Radii for Eigenvalues of Tri--diagonal Matrices
• On eigenvalues of the Schrödinger operator with an even complex-valued polynomial potential