{"_id":"2740","scopus_import":"1","publication":"Annales de l'Institut Fourier","language":[{"iso":"eng"}],"publication_status":"published","date_created":"2018-12-11T11:59:21Z","abstract":[{"text":"We show that the lowest eigenvalue of the magnetic Schrödinger operator on a line bundle over a compact Riemann surface M is bounded by the L1-norm of the magnetic field B. This implies a similar bound on the multiplicity of the ground state. An example shows that this degeneracy can indeed be comparable with ∫M |B| even in case of the trivial bundle.","lang":"eng"}],"volume":52,"article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publisher":"Association des Annales de l'Institut Fourier","day":"01","article_type":"original","page":"1833-1874","type":"journal_article","doi":"10.5802/aif.1936","issue":"6","author":[{"orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"status":"public","date_updated":"2023-07-18T08:38:34Z","publist_id":"4152","oa_version":"None","year":"2002","month":"01","publication_identifier":{"issn":["0373-0956"]},"quality_controlled":"1","title":"Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions","extern":"1","date_published":"2002-01-01T00:00:00Z","citation":{"ieee":"L. Erdös, “Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions,” <i>Annales de l’Institut Fourier</i>, vol. 52, no. 6. Association des Annales de l’Institut Fourier, pp. 1833–1874, 2002.","ama":"Erdös L. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. <i>Annales de l’Institut Fourier</i>. 2002;52(6):1833-1874. doi:<a href=\"https://doi.org/10.5802/aif.1936\">10.5802/aif.1936</a>","mla":"Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” <i>Annales de l’Institut Fourier</i>, vol. 52, no. 6, Association des Annales de l’Institut Fourier, 2002, pp. 1833–74, doi:<a href=\"https://doi.org/10.5802/aif.1936\">10.5802/aif.1936</a>.","short":"L. Erdös, Annales de l’Institut Fourier 52 (2002) 1833–1874.","ista":"Erdös L. 2002. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. Annales de l’Institut Fourier. 52(6), 1833–1874.","apa":"Erdös, L. (2002). Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier. <a href=\"https://doi.org/10.5802/aif.1936\">https://doi.org/10.5802/aif.1936</a>","chicago":"Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” <i>Annales de l’Institut Fourier</i>. Association des Annales de l’Institut Fourier, 2002. <a href=\"https://doi.org/10.5802/aif.1936\">https://doi.org/10.5802/aif.1936</a>."},"intvolume":"        52"}