JournalsprimsVol. 40, No. 3pp. 973–990

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 (qM + gqN), where N > M > 0 even, and g > 0. Mainly, we establish the g → 0 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