Virginia TechLange, HorstZweifel, Paul F.2014-04-092014-04-091994-04Lange, H.; Zweifel, P. F., "Dissipation in Wigner-Poisson systems," J. Math. Phys. 35, 1513 (1994); http://dx.doi.org/10.1063/1.5308870022-2488http://hdl.handle.net/10919/47040The 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-USIn CopyrightquantumArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/35/4/10.1063/1.530887https://doi.org/10.1063/1.530887