{"abstract":[{"lang":"eng","text":"The ground-state density of the Pauli operator in the case of a nonconstant magnetic field with constant direction is studied. It is shown that in the large field limit, the naturally rescaled ground-state density function is bounded from above by the megnetic field, and under some additional conditions, the limit density function is equal to the magnetic field. A restatement of this result yields an estimate on the density of complex orthogonal polynomials with respect to a fairly general weight function. We also prove a special case of the paramagnetic inequality. "}],"publication":"Letters in Mathematical Physics","publication_status":"published","_id":"2723","doi":"10.1007/BF00761110","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"}],"publication_identifier":{"issn":["0377-9017"]},"extern":"1","type":"journal_article","date_updated":"2022-03-30T15:02:00Z","volume":29,"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","status":"public","page":"219 - 240","month":"11","date_created":"2018-12-11T11:59:16Z","citation":{"ieee":"L. Erdös, “Ground-state density of the Pauli operator in the large field limit,” <i>Letters in Mathematical Physics</i>, vol. 29, no. 3. Springer, pp. 219–240, 1993.","short":"L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240.","mla":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” <i>Letters in Mathematical Physics</i>, vol. 29, no. 3, Springer, 1993, pp. 219–40, doi:<a href=\"https://doi.org/10.1007/BF00761110\">10.1007/BF00761110</a>.","ama":"Erdös L. Ground-state density of the Pauli operator in the large field limit. <i>Letters in Mathematical Physics</i>. 1993;29(3):219-240. doi:<a href=\"https://doi.org/10.1007/BF00761110\">10.1007/BF00761110</a>","apa":"Erdös, L. (1993). Ground-state density of the Pauli operator in the large field limit. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF00761110\">https://doi.org/10.1007/BF00761110</a>","chicago":"Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” <i>Letters in Mathematical Physics</i>. Springer, 1993. <a href=\"https://doi.org/10.1007/BF00761110\">https://doi.org/10.1007/BF00761110</a>.","ista":"Erdös L. 1993. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 29(3), 219–240."},"article_processing_charge":"No","oa_version":"None","issue":"3","quality_controlled":"1","scopus_import":"1","title":"Ground-state density of the Pauli operator in the large field limit","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF00761110"}],"language":[{"iso":"eng"}],"intvolume":"        29","publist_id":"4169","date_published":"1993-11-01T00:00:00Z","day":"01","article_type":"original","year":"1993","publisher":"Springer"}