Discreetness of Spectrum of Schrödinger Operator on Riemannian Manifold by using Lebesgue Measure

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-8
Year of Publication : 2022
Authors : Farah Diyab, B. Surender Reddy
 10.14445/22315373/IJMTT-V68I8P507

How to Cite?

Farah Diyab, B. Surender Reddy, "Discreetness of Spectrum of Schrödinger Operator on Riemannian Manifold by using Lebesgue Measure," International Journal of Mathematics Trends and Technology, vol. 68, no. 8, pp. 67-71, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I8P507

Abstract
We formulate the conditions for discreteness Dirichlet spectrum of Schrödinger operator H=-Δ + V(x) on Riemannian Manifold. Its formulated by using Lebesgue measure instead of harmonic capacity. We also provide the recent related results.

Keywords : Dirichlet problem, Spectrum, Manifolds, Schrödinger, Spectral Geometry.

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