Dissipation in Wigner-Poisson systems

Lange, Horst; Zweifel, Paul F.

Dissipation in Wigner-Poisson systems

dc.contributor	Virginia Tech	en
dc.contributor.author	Lange, Horst	en
dc.contributor.author	Zweifel, Paul F.	en
dc.contributor.department	Physics	en
dc.date.accessed	2014-03-20	en
dc.date.accessioned	2014-04-09T18:12:18Z	en
dc.date.available	2014-04-09T18:12:18Z	en
dc.date.issued	1994-04	en
dc.description.abstract	The Wigner-Poisson (WP) system (or quantum Vlasov-Poisson system) is modified to include dissipative terms in the Hamiltonian. By utilizing the equivalence of the WP system to the Schrodinger-Poisson system, global existence and uniqueness are proved and regularity properties are deduced. The proof differs somewhat from that for the nondissipative case treated previously by Brezzi-Markowich and Illner et al.; in particular the Hille-Yosida Theorem is used since the linear evolution is not unitary, and a Liapunov function is introduced to replace the energy, which is not conserved.	en
dc.description.sponsorship	NATO Collaborative Research Grant No. CRG-910979	en
dc.identifier.citation	Lange, H.; Zweifel, P. F., "Dissipation in Wigner-Poisson systems," J. Math. Phys. 35, 1513 (1994); http://dx.doi.org/10.1063/1.530887	en
dc.identifier.doi	https://doi.org/10.1063/1.530887	en
dc.identifier.issn	0022-2488	en
dc.identifier.uri	http://hdl.handle.net/10919/47040	en
dc.identifier.url	http://scitation.aip.org/content/aip/journal/jmp/35/4/10.1063/1.530887	en
dc.language.iso	en_US	en
dc.publisher	AIP Publishing	en
dc.rights	In Copyright	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject	quantum	en
dc.title	Dissipation in Wigner-Poisson systems	en
dc.title.serial	Journal of Mathematical Physics	en
dc.type	Article - Refereed	en

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