{"intvolume":"        82","publication_status":"published","extern":1,"month":"12","publisher":"Springer","page":"107 - 116","issue":"2-3","oa":1,"publist_id":"4552","title":"Number of bound states of Schrödinger operators with matrix-valued potentials","publication":"Letters in Mathematical Physics","status":"public","year":"2007","date_published":"2007-12-01T00:00:00Z","day":"01","date_updated":"2021-01-12T06:57:06Z","volume":82,"quality_controlled":0,"_id":"2375","type":"journal_article","doi":"10.1007/s11005-007-0211-x","date_created":"2018-12-11T11:57:18Z","abstract":[{"text":"We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.","lang":"eng"}],"author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Robert Seiringer"}],"citation":{"mla":"Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” <i>Letters in Mathematical Physics</i>, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:<a href=\"https://doi.org/10.1007/s11005-007-0211-x\">10.1007/s11005-007-0211-x</a>.","ista":"Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116.","short":"R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.","ama":"Frank R, Lieb É, Seiringer R. Number of bound states of Schrödinger operators with matrix-valued potentials. <i>Letters in Mathematical Physics</i>. 2007;82(2-3):107-116. doi:<a href=\"https://doi.org/10.1007/s11005-007-0211-x\">10.1007/s11005-007-0211-x</a>","apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Number of bound states of Schrödinger operators with matrix-valued potentials. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-007-0211-x\">https://doi.org/10.1007/s11005-007-0211-x</a>","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href=\"https://doi.org/10.1007/s11005-007-0211-x\">https://doi.org/10.1007/s11005-007-0211-x</a>.","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger operators with matrix-valued potentials,” <i>Letters in Mathematical Physics</i>, vol. 82, no. 2–3. Springer, pp. 107–116, 2007."},"main_file_link":[{"url":"http://arxiv.org/abs/0710.1877","open_access":"1"}]}