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math.DG2017
Lower bounds for the first eigenvalue of the magnetic Laplacian
Bruno Colbois, Alessandro Savo
We consider a Riemannian cylinder endowed with a closed potential 1-form A and study the magnetic Laplacian with magnetic Neumann boundary conditions associated with those data. We…
math.DG2017★ 5 cited
Eigenvalue upper bounds for the magnetic Schroedinger operator
Bruno Colbois, Ahmad El Soufi, Said Ilias +1
We study the eigenvalues of the magnetic Schroedinger operator associated with a magnetic potential A and a scalar potential q, on a compact Riemannian manifold M, with Neumann bou…