Tag: Laplacian

Generic simplicity of spectrum of the Schrödinger-type operator, H = Δ + V, is investigated in this study. Here, Δ is the standard Laplace operator on n-dimensional unit torus and V is the perturbation potential. On the n-dimensional torus, we used Rayleigh- Schrödinger perturbation theory to analyse the splitting behaviour of the spectrum due to infinitesimal perturbation. We proved...

Special principles of ghostly zeta function on Riemannian repeat have happened computed utilizing differing mathematical approximation blueprints. The acts of few of those principles are of fundamental significance in quantity field hypothesis. A particular profit of interest in this place member is the Casimir strength delineated, mathematically, via the...

A computation of Casimir energy via spectral zeta function is considered in this Chapter. The original computations deriving the Casimir energy and force consists of first taking limits of the spectral zeta function and afterwards analytically extending the result. This process of computation presents a weakness in Hendrik Casimir’s...