TITLE:
Revisiting the Evaluation of a Multidimensional Gaussian Integral
AUTHORS:
R. P. Mondaini, S. C. de Albuquerque Neto
KEYWORDS:
Gaussian Integral, Determinants, Spectral Theorem, Sylvester’s Criterion
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.2,
February
21,
2017
ABSTRACT: The evaluation of Gaussian functional integrals is essential on the application to statistical physics and the general calculation of path integrals of stochastic processes. In this work, we present an elementary extension of an usual result of the literature as well as an alternative new derivation.