Perturbative expansions in quantum mechanics
Mathematical Physics
2015-06-30 v4 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0502027,
title = {Perturbative expansions in quantum mechanics},
author = {Mauricio D. Garay},
journal= {arXiv preprint arXiv:math-ph/0502027},
year = {2015}
}
Comments
19 pages