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Van der Waals force derived from a quantum statistical mechanical path integral method
Institution:1. College of Engineering, Swansea University, Swansea, UK;2. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, India;1. Ariel University, Engineering Faculty, Chemical Engineering, Biotechnology and Materials Department, P.O.B. 3, Ariel 407000, Israel;2. Ariel University, Exact Sciences Faculty, Physics Department, P.O.B. 3, Ariel 407000, Israel
Abstract:The main purpose of this paper is to apply the quantum statistical mechanical model for polarizable fluids, used by Høye-Stell and others, to the calculation of the van der Waals force (dispersion force) between monatomics. The results are in agreement with those obtained by quantum perturbation theory. The quantum statistical method implies considerable formal simplifications.The introductory sections of the paper show, for illustrative purposes, how the dispersion forces in limiting cases also can be obtained from macroscopic quantum electromagnetic theory when two dilute dielectric media with plane-parallel surfaces are separated by a vacuum (Casimir effect).
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