General decomposition of radial functions on ℝn and applications to N-body quantum systems

C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.


Journal Article | Published
Author
;
Abstract
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.
Publishing Year
Date Published
2002-07-01
Journal Title
Letters in Mathematical Physics
Volume
61
Issue
1
Page
75 - 84
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Cite this

Hainzl C, Seiringer R. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 2002;61(1):75-84. doi:10.1023/A:1020204818938
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. https://doi.org/10.1023/A:1020204818938
Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics 61, no. 1 (2002): 75–84. https://doi.org/10.1023/A:1020204818938.
C. Hainzl and R. Seiringer, “General decomposition of radial functions on ℝn and applications to N-body quantum systems,” Letters in Mathematical Physics, vol. 61, no. 1, pp. 75–84, 2002.
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.
Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics, vol. 61, no. 1, Springer, 2002, pp. 75–84, doi:10.1023/A:1020204818938.

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