Casimir Energy of the Laplacian on a Riemannian Manifold| Chapter 6 | Research Highlights in Mathematics and Computer Science Vol. 4

 Special principles of spectral zeta function on Riemannian repeat have been computed utilizing various mathematical approximation schemes. The acts of some of those principles are of fundamental importance in quantity field theory. A particular profit of interest in this member is the Casimir energy delimited, mathematically, via the spectral zeta function as a function on the set of versification on the manifold by (−12) [1,2] and [3]. In this unit, a general arrangement for computing the Casimir strength of the Laplacian on the unit n-spatial sphere, Sn by present image of the spectral zeta function through the Riemann zeta function is addressed. The ghostly zeta function of the Laplacian can be computed utilizing this method on a sort of different Riemannian repeat.

Author(s) Details:

Louis Omenyi,
Department of Mathematics and Statistics, Alex Ekwueme Federal University, Ndufu-Alike, Nigeria.

Please see the link here: https://stm.bookpi.org/RHMCS-V4/article/view/9160