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Journal of Mathematical Physics : Classical limit for semirelativistic Hartree systems

By Gonca L. Aki, Peter A. Markowich, and Christof Sparber

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Book Id: WPLBN0002169540
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 21 October 2008

Title: Journal of Mathematical Physics : Classical limit for semirelativistic Hartree systems  
Author: Gonca L. Aki, Peter A. Markowich, and Christof Sparber
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Aki, Peter A. Markowich, And Christof Sparbe, G. L. (n.d.). Journal of Mathematical Physics : Classical limit for semirelativistic Hartree systems. Retrieved from http://www.nationalpubliclibrary.info/


Description
Description: We consider the three-dimensional semirelativistic Hartree model for fast quantum mechanical particles moving in a self-consistent field. Under appropriate assumptions on the initial density matrix as a (fully) mixed quantum state we prove by using Wigner transformation techniques that its classical limit yields the well known relativistic Vlasov–Poisson system. The result holds for the case of attractive and repulsive mean-field interactions, with an additional size constraint in the attractive case.

 

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