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Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials
Computer Research and Modeling, 2012, v. 4, no. 3, pp. 497-507The conditions for the existence of Feynman integrals in a sense of analytic continuation of the exponential functionals with a fourth-power polynomial in the index are studied, their presentations by Gaussian integrals are constructed in the paper. It is shown that the Schrodinger-type equation in the infinite-dimensional space in the case of fourth-power polynomial potential has a solution which is described by the Feynman path integral in configuration space.
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International Interdisciplinary Conference "Mathematics. Computing. Education"