From Exact-WKB towards Singular Quantum Perturbation Theory
André Voros
CEA Saclay, Gif-Sur-Yvette Cedex, France
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Abstract
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 of the form , where even, and . Mainly, we establish the limiting forms of global spectral functions such as the zeta-regularized determinants and some spectral zeta functions.
Cite this article
André Voros, From Exact-WKB towards Singular Quantum Perturbation Theory. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 973–990
DOI 10.2977/PRIMS/1145475499