{"date_updated":"2021-01-12T06:56:58Z","publist_id":"4576","volume":61,"abstract":[{"text":"We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions V on ℝn going to zero at infinity. This generalized decomposition can be used to extend previous results on N-body quantum systems with Coulomb interaction to a more general class of interactions. As an example of such an application, we derive the high density asymptotics of the ground state energy of jellium with Yukawa interaction in the thermodynamic limit, using a correlation estimate by Graf and Solovej.","lang":"eng"}],"author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"date_created":"2018-12-11T11:57:09Z","status":"public","publication":"Letters in Mathematical Physics","issue":"1","publication_status":"published","type":"journal_article","page":"75 - 84","doi":"10.1023/A:1020204818938","_id":"2352","oa":1,"citation":{"ista":"Hainzl C, Seiringer R. 2002. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.","apa":"Hainzl, C., &#38; Seiringer, R. (2002). General decomposition of radial functions on ℝn and applications to N-body quantum systems. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1023/A:1020204818938\">https://doi.org/10.1023/A:1020204818938</a>","chicago":"Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” <i>Letters in Mathematical Physics</i>. Springer, 2002. <a href=\"https://doi.org/10.1023/A:1020204818938\">https://doi.org/10.1023/A:1020204818938</a>.","ama":"Hainzl C, Seiringer R. General decomposition of radial functions on ℝn and applications to N-body quantum systems. <i>Letters in Mathematical Physics</i>. 2002;61(1):75-84. doi:<a href=\"https://doi.org/10.1023/A:1020204818938\">10.1023/A:1020204818938</a>","ieee":"C. Hainzl and R. Seiringer, “General decomposition of radial functions on ℝn and applications to N-body quantum systems,” <i>Letters in Mathematical Physics</i>, vol. 61, no. 1. Springer, pp. 75–84, 2002.","mla":"Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” <i>Letters in Mathematical Physics</i>, vol. 61, no. 1, Springer, 2002, pp. 75–84, doi:<a href=\"https://doi.org/10.1023/A:1020204818938\">10.1023/A:1020204818938</a>.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84."},"date_published":"2002-07-01T00:00:00Z","extern":1,"intvolume":"        61","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0107011"}],"title":"General decomposition of radial functions on ℝn and applications to N-body quantum systems","quality_controlled":0,"day":"01","publisher":"Springer","year":"2002","month":"07"}