Perturbation Theory in Terms of a Generalized Phase-Space Quantization Procedure
Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 1, pp. 1-18
Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica
A new approach to perturbation theory in the quantum phase-space formalism is proposed, in order to devise some approximated description of the quantum phase-space dynamics, which is not directly related to the usual semi-classical approximation. A general class of equivalent quasi-distribution functions based on the Wigner-Moyal formalism is considered and a first-order invariant formulation of the dynamics is obtained. The relationship between the various phase-space representations is expressed in term of a pseudo-differential operator defined by the Moyal product. In particular, our theory is applied to the sub-class of representations obtained by a first order perturbation of the Wigner representation. Finally the connection of our approach with some well established gauge-invariant formulations of the Wigner dynamics in the presence of an external magnetic field is investigated.
@article{BUMI_2011_9_4_1_a0,
author = {Morandi, Omar and Barletti, Luigi and Frosali, Giovanni},
title = {Perturbation {Theory} in {Terms} of a {Generalized} {Phase-Space} {Quantization} {Procedure}},
journal = {Bollettino della Unione matematica italiana},
pages = {1--18},
publisher = {mathdoc},
volume = {Ser. 9, 4},
number = {1},
year = {2011},
zbl = {1234.81078},
mrnumber = {2797463},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a0/}
}
TY - JOUR AU - Morandi, Omar AU - Barletti, Luigi AU - Frosali, Giovanni TI - Perturbation Theory in Terms of a Generalized Phase-Space Quantization Procedure JO - Bollettino della Unione matematica italiana PY - 2011 SP - 1 EP - 18 VL - 4 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a0/ LA - en ID - BUMI_2011_9_4_1_a0 ER -
%0 Journal Article %A Morandi, Omar %A Barletti, Luigi %A Frosali, Giovanni %T Perturbation Theory in Terms of a Generalized Phase-Space Quantization Procedure %J Bollettino della Unione matematica italiana %D 2011 %P 1-18 %V 4 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a0/ %G en %F BUMI_2011_9_4_1_a0
Morandi, Omar; Barletti, Luigi; Frosali, Giovanni. Perturbation Theory in Terms of a Generalized Phase-Space Quantization Procedure. Bollettino della Unione matematica italiana, Série 9, Tome 4 (2011) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/BUMI_2011_9_4_1_a0/