EVALUATION OF FUNCTIONAL INTEGRALS USING STURM SEQUENCES
Abstract
The present work deals with two directions of the theory of functional integration. The first is the representation of physical quantities, in particular the evolution operator kernel in the form of functional integrals. The second is concerned with the methods for calculation of functional integrals. A new method for approximate evaluation of functional integrals with respect the conditional Wiener measure is proposed in this work. This method is based both on the use of the Feynman – Kac formula giving the integral representation of the evolution operator kernel and on the representation of the kernel using eigenvalues
and eigenvectors of operator. The proposed method is effective for calculation of functional integrals over a space of functions defined on the intervals of large length.
and eigenvectors of operator. The proposed method is effective for calculation of functional integrals over a space of functions defined on the intervals of large length.
About the Author
V. B. Malyutin
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Dr. Sc. (Physics and Mathematics), Leading Researcher
Belarus
Dr. Sc. (Physics and Mathematics), Leading Researcher
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