On quantum corrections to classical solutions via generalized zeta-function
Quantum Physics
2007-05-23 v1
Abstract
A general algebraic method of quantum corrections evaluations is presented. Quantum corrections to a few classical solutions of Landau-Ginzburg model (phi-in-quadro) are calculated in arbitrary dimensions. The Green function for heat equation with soliton potential is constructed by Darboux transformation. The generalized zeta-function is used to evaluate the functional integral and corrections to mass in quasiclassical approximation. Some natural generalizations for matrix equations are discussed in conclusion.
Cite
@article{arxiv.quant-ph/0612043,
title = {On quantum corrections to classical solutions via generalized zeta-function},
author = {Anatoly Zaitsev and Sergey Leble},
journal= {arXiv preprint arXiv:quant-ph/0612043},
year = {2007}
}
Comments
10 pages, "Operator equations in quantum optics", Antwerpen, 7-8 April 2006. http://srv.physics.ua.ac.be/u/naudts/workshop_ws/index.html