Louis Omenyi

Generic Simplicity of a Schrödinger-type Operator on the Torus

Louis Omenyi, Emmanuel Nwaeze & McSylvester Omaba · Asian Research Journal of Mathematics · 2017

The generic simplicity of the spectrum of a Schrödinger-type operator on the n-dimensional torus is studied using the Rayleigh-Schrödinger perturbation theory. The existence of a perturbation potential of the Laplacian is proved and suitable conditions on the potential that guara...

Open access Research Article 10.9734/ARJOM/2017/31160

Vacuum Energy of the Laplacian on the Spheres

Louis Omenyi · Asian Research Journal of Mathematics · 2016

Let Δg be the Laplacian on smooth functions on a compact Riemannian manifold (M, g)  and ζg the associated spectral zeta function. Some special values of the spectral zeta function and their generalisations such as the spectral height and spectral determinant usually defined in t...

Open access Research Article 10.9734/ARJOM/2016/30523