2 citations · 3 across the 2 of their papers we have counts for
4 papers
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…
A sharpening of Li's criterion for the Riemann Hypothesis
André Voros
Exact and asymptotic formulae are displayed for the coefficients used in Li's criterion for the Riemann Hypothesis. In particular, we argue that if (and only if) the Hypothes…
"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…
Chaotic eigenfunctions in phase space
S. Nonnenmacher, A. Voros
We study individual eigenstates of quantized area-preserving maps on the 2-torus which are classically chaotic. In order to analyze their semiclassical behavior, we use the Bargman…