Perturbative expansions in quantum mechanics
Garay, Mauricio D.
arXiv, 0502027 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-02-08
Classification:  Mathematical Physics,  81Q15 
@article{0502027,
     author = {Garay, Mauricio D.},
     title = {Perturbative expansions in quantum mechanics},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0502027}
}

Garay, Mauricio D. Perturbative expansions in quantum mechanics. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0502027/