Semiclassical expansion of Wigner functions

Journal of Mathematical Physics

Volumn 47, Issue 5, 2006, Pages

  Pulvirenti, M ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744762804     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2200143     Document Type: Article

References (11)

1. de M. Rios, P., and Ozorio de Almeida, A. M., " On the propagation of semiclassical Wigner functions., " J. Phys. A 35, 2609-2617 (2002).
2. Filippas, S., and Makrakis, G., " Semiclassical Wigner function and geometrical optics., " Multiscale Model. Simul. 1, 674-710 (2003).
3. Lions, P-L., and Paul, T., " Sur les measures de Wigner., " Rev. Mat. Iberoam. 3, 553-618 (1993).
4. Markowich, P., and Mauser, N., " The classical limit of a self-consistent quantum-Vlasov equation in 3D., " Math. Models Meth. Appl. Sci. 3, 109-124 (1993).
5. Markowich, P., Ringhofer, C., and Schmeiser, C., Semiconductor Equations (Springer, Vienna, 1990).
6. Maslov, V., and Fedoriuk, M., " Semiclassical approximation in quantum mechanics., " Translated from the Russian by, J. Niederle, and, J. Tolar, Mathematical Physics and Applied Mathematics Vol. 7 (Reidel, Dordrecht, 1981).
7. Robert, D., " Semi-classical approximation in quantum mechanics. A survey of old and recent mathematical results., " Helv. Phys. Acta 71, 44-116 (1998).
8. Robert, D., Autour de l'Approximation Semi-classique, Progress in Mathematics, Vol. 68 (Birkhäuser, Boston, 1987).
9. Spaber, C., Markowich, P., and Mauser, N., " Wigner functions versus WKB-methods in multivalued geometrical optics., " Asymptotic Anal. 33, 153-187 (2003).
10. Springborg, M., " On semiclassical approximation to Wigner's phase space function., " Physica A 126, 259-270 (2003).
11. Wigner, E., " On the quantum correction for the thermodynamical equilibrium., " Phys. Rev. A 40, 742-759 (1932).