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Journal Article

Relation between classical and quantum particle systems


Morawetz,  K.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Morawetz, K. (2002). Relation between classical and quantum particle systems. Physical Review E, 66(2): 022103. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000066000002022103000001&idtype=cvips&gifs=yes.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-372F-7
An exact correspondence is established between a N-body classical interacting system and a (N-1)-body quantum system with respect to the partition function. The resulting Hermitian quantum potential is a (N-1)-body one. Inversely the Kelbg potential is reproduced which describes quantum systems at a quasi-classical level. The correspondence found between classical and quantum systems allows also to approximate dense classical many-body systems by lower order quantum perturbation theory, replacing Planck's constant properly by temperature and density dependent expressions. As an example, the dynamical behavior of a one-component plasma is well reproduced concerning the formation of correlation energy after a disturbance, utilizing solely the analytical quantum-Born result for dense degenerated Fermi systems. As a practical guide, the quantum-Bruckner parameter r(s) has been replaced by the classical plasma parameter Gamma as r(s)approximate to0.3Gamma(3/2).