On quantum corrections to classical solutions via generalized zeta-function

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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.
10 pages, "Operator equations in quantum optics", Antwerpen, 7-8 April 2006. http://srv.physics.ua.ac.be/u/naudts/workshop_ws/index.html

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