Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials

Kravtseva A.K.
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The 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.

Keywords: Feynman formulae, Schrodinger equation, Gaussian integral
Citation in English: Kravtseva A.K. Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials // Computer Research and Modeling, 2012, vol. 4, no. 3, pp. 497-507
Citation in English: Kravtseva A.K. Feynman formulae for solutions of Schrodinger-type equations with fourth-power polinomial potentials // Computer Research and Modeling, 2012, vol. 4, no. 3, pp. 497-507
DOI: 10.20537/2076-7633-2012-4-3-497-507
URL: http://crm-en.ics.org.ru/journal/article/1919/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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