Derives explicit Cheeger-type lower bounds for the bottom of the spectrum of magnetic Laplacians on compact metric graphs, expressed via the ℓ¹ distance of the global cycle flux vector to the integral flux lattice.
Shigekawa, Eigenvalue problems for the Schrodinger operator with the magnetic field on a compact Riemannian manifold,J
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Flux-explicit Cheeger bounds for magnetic Laplacians on compact metric graphs
Derives explicit Cheeger-type lower bounds for the bottom of the spectrum of magnetic Laplacians on compact metric graphs, expressed via the ℓ¹ distance of the global cycle flux vector to the integral flux lattice.