Perturbative expansions in quantum mechanics

Details Perturbative expansions in quantum mechanics Perturbative expansions in quantum mechanics

2005-02-08

arxiv.org/abs/math-ph/0502027v4

Physics

Mathematical Physics

19 pages

Scientific paper

We prove a D=1 analytic versal deformation theorem for WKB expansions. We
define the spectrum of an operator in local analytic terms. We use the Morse
lemma to show that the perturbation series arising in a perturbed harmonic
oscillator become analytic after a formal Borel transform.

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