Initial problem for heat equation with multisoliton inhomogeneity and one-loop quantum corrections
arXiv:quant-ph/0604154
Abstract
The generalized zeta-function is built by a dressing method based on the Darboux covariance of the heat equation and used to evaluate the correspondent functional integral in quasiclassical approximation. Quantum corrections to a kink-like solutions of Landau-Ginzburg model are calculated.
5 pages, annual conference of Immanuele Kant State University (former Kaliningrad State University) in 1993