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Название: A new path integral representation for the solutions of the Schrodinger, heat and stochastic Schrôdinger equations
Автор: Kolokoltsov V.N.
Solutions to the Schrodinger. heat and stochastic Schrodinger equation with rather general potentials are represented, both in x- and p-representations, as integrals over the path space with respect to a-finite measures. In the case of x-representation. the corresponding measure is concentrated on the Cameron—Martin Hilhert space of curves with L2-integrablc derivatives. The case of the Schrodinger equation is treated by means of a regularization based on the introduction of either complex times or continuous non-demolition observations.