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Diamagnetic behavior of sums Dirichlet eigenvalues

László Erdös; Michael Loss; Vitali Vougalter — 2000

Annales de l'institut Fourier

The Li-Yau semiclassical lower bound for the sum of the first $N$ eigenvalues of the Dirichlet–Laplacian is extended to Dirichlet– Laplacians with constant magnetic fields. Our method involves a new diamagnetic inequality for constant magnetic fields.

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