On quantum corrections to classical solutions via generalized zeta-function

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.