From exact-WKB towards singular quantum perturbation theory

  • André Voros
  • Published 2008


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… (More)


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