## Generic Simplicity of the Spectrum of a Schrödinger-type Operator on a Riemannian Manifold

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...

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