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Differentiability of the van der Waals interaction between two atoms

Anapolitanos, Ioannis; Lewin, Mathieu; Roth, Matthias

Abstract:
In this work we improve upon previous results on the expansion of the interaction energy of two atoms. On the one hand we prove the van der Waals-London’s law, assuming that only one of the ground state eigenspaces of the atoms is irreducible in an appropriate sense. On the other hand we prove strict monotonicity of the interaction energy at large distances and, under more restrictive assumptions, we provide the leading order of its first two derivatives. The first derivative is interpreted as the force in Physics. Moreover, the estimates of the first two derivatives provide a rigorous proof of the monotonicity and concavity of the interaction energy at large distances.

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Volltext §
DOI: 10.5445/IR/1000091540
Veröffentlicht am 22.02.2019
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2019
Sprache Englisch
Identifikator ISSN: 2365-662X
urn:nbn:de:swb:90-915409
KITopen-ID: 1000091540
Verlag KIT, Karlsruhe
Umfang 33 S.
Serie CRC 1173 ; 2019/6
Projektinformation SFB 1173/1 (DFG, DFG KOORD, SFB 1173/1 2015)
Schlagworte van der Waals force, monotonicity/concavity of the interaction energy
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