45 citations · 274 across the 22 of their papers we have counts for
10 papers · 1 filter
Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited
André Voros
We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact WKB method.
Zeta-regularisation for exact-WKB resolution of a general 1D Schrödinger equation
André Voros
We review an exact analytical resolution method for general one-dimensional (1D) quantal anharmonic oscillators: stationary Schrödinger equations with polynomial potentials. It is…
From exact-WKB toward singular quantum perturbation theory II
André Voros
Following earlier studies, several new features of singular perturbation theory for one-dimensional quantum anharmonic oscillators are computed by exact WKB analysis; former result…
The general 1D Schrödinger equation as an exactly solvable problem
André Voros
We review an exact WKB resolution method for the stationary 1D Schrödinger equation with a general polynomial potential. This contribution covers already published material: we sup…
From exact-WKB towards singular quantum perturbation theory
André Voros
We use exact WKB analysis to derive some concrete formulae in singular quantum perturbation theory, for Schrödinger eigenvalue problems on the real line with polynomial potentials…
"Exact WKB integration'' of polynomial 1D Schrödinger (or Sturm-Liouville) problem
A. Voros
We review an "exact semiclassical" resolution method for the general stationary 1D Schrödinger equation with a polynomial potential. This method avoids having to compute any Stokes…