Diamagnetic behavior of sums Dirichlet eigenvalues

L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907.

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Abstract
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.
Publishing Year
Date Published
2000-01-01
Journal Title
Annales de l'Institut Fourier
Volume
50
Issue
3
Page
891 - 907
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Erdös L, Loss M, Vougalter V. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 2000;50(3):891-907. doi:10.5802/aif.1777
Erdös, L., Loss, M., & Vougalter, V. (2000). Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier, 50(3), 891–907. https://doi.org/10.5802/aif.1777
Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” Annales de l’Institut Fourier 50, no. 3 (2000): 891–907. https://doi.org/10.5802/aif.1777.
L. Erdös, M. Loss, and V. Vougalter, “Diamagnetic behavior of sums Dirichlet eigenvalues,” Annales de l’Institut Fourier, vol. 50, no. 3, pp. 891–907, 2000.
Erdös L, Loss M, Vougalter V. 2000. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 50(3), 891–907.
Erdös, László, et al. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” Annales de l’Institut Fourier, vol. 50, no. 3, Association des Annales de l’Institut Fourier, 2000, pp. 891–907, doi:10.5802/aif.1777.

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