Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629617 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
A construction of the heat kernel diagonal is considered as element of generalized zeta function theory, which gradient at the origin defines determinant of a differential operator in a technique for regularizing quadratic path integral. Some classes of explicit expressions of the Green function in the case of finite-gap potential coefficient of the heat equation are constructed. An algorithm and program for Mathematica are presented for a subclass directly linked to hyperelliptic functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Grzegorz Kwiatkowski, Sergey Leble,