Author(s)

R. P. Mondaini, S. C. de Albuquerque Neto

Federal University of Rio de Janeiro, Centre of Technology, COPPE, Rio de Janeiro, Brazil.

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.

Gaussian Integral, Determinants, Spectral Theorem, Sylvester’s Criterion

Mondaini, R. and Albuquerque Neto, S. (2017) Revisiting the Evaluation of a Multidimensional Gaussian Integral. Journal of Applied Mathematics and Physics, 5, 449-452. doi: 10.4236/jamp.2017.52039.