From exact-WKB towards singular quantum perturbation theory
Voros, André
HAL, hal-00022105 / Harvested from HAL
Text on HAL
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 $(q^M + g q^N)$, where $N>M>0$ even, and $g>0$. Mainly, we establish the $g \to 0$ limiting forms of global spectral functions such as the zeta-regularized determinants and some spectral zeta functions.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],  [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP],  [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] 
@article{hal-00022105,
     author = {Voros, Andr\'e},
     title = {From exact-WKB towards singular quantum perturbation theory},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00022105}
}

Voros, André. From exact-WKB towards singular quantum perturbation theory. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022105/