Displaying similar documents to “A Lieb-Thirring bound for a magnetic Pauli Hamiltonian (II).”

Diamagnetic behavior of sums Dirichlet eigenvalues

László Erdös, Michael Loss, Vitali Vougalter (2000)

Annales de l'institut Fourier

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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.