{"publication_status":"published","publication":"Annales de l'Institut Fourier","abstract":[{"lang":"eng","text":"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."}],"_id":"2733","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"last_name":"Loss","full_name":"Loss, Michael","first_name":"Michael"},{"full_name":"Vougalter, Vitali","first_name":"Vitali","last_name":"Vougalter"}],"doi":"10.5802/aif.1777","publication_identifier":{"issn":["0373-0956"]},"date_updated":"2023-05-03T08:56:17Z","volume":50,"extern":"1","type":"journal_article","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","page":"891 - 907","citation":{"apa":"Erdös, L., Loss, M., & Vougalter, V. (2000). Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.1777","chicago":"Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2000. https://doi.org/10.5802/aif.1777.","ista":"Erdös L, Loss M, Vougalter V. 2000. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 50(3), 891–907.","ieee":"L. Erdös, M. Loss, and V. Vougalter, “Diamagnetic behavior of sums Dirichlet eigenvalues,” Annales de l’Institut Fourier, vol. 50, no. 3. Association des Annales de l’Institut Fourier, pp. 891–907, 2000.","ama":"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","mla":"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.","short":"L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907."},"month":"01","date_created":"2018-12-11T11:59:19Z","article_processing_charge":"No","issue":"3","oa_version":"None","quality_controlled":"1","scopus_import":"1","title":"Diamagnetic behavior of sums Dirichlet eigenvalues","intvolume":" 50","language":[{"iso":"eng"}],"publist_id":"4159","date_published":"2000-01-01T00:00:00Z","publisher":"Association des Annales de l'Institut Fourier","article_type":"original","year":"2000","day":"01"}