Duality in Perturbation Theory and the Quantum Adiabatic Approximation
Frasca, Marco
arXiv, 9801069 / Harvested from arXiv
Text on arXiv
Duality is considered for the perturbation theory by deriving, given a series solution in a small parameter, its dual series with the development parameter being the inverse of the other. A dual symmetry in perturbation theory is identified. It is then shown that the dual to the Dyson series in quantum mechanics is given by a recent devised series having the adiabatic approximation as leading order. A simple application of this result is given by rederiving a theorem for strongly perturbed quantum systems.
Publié le : 1998-01-12
Classification:  High Energy Physics - Theory,  Condensed Matter,  General Relativity and Quantum Cosmology,  High Energy Physics - Phenomenology,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics,  Quantum Physics 
@article{9801069,
     author = {Frasca, Marco},
     title = {Duality in Perturbation Theory and the Quantum Adiabatic Approximation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801069}
}

Frasca, Marco. Duality in Perturbation Theory and the Quantum Adiabatic Approximation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9801069/