Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
We provide a simple mathematical framework which is useful for a precise description of the thermal equilibrium Wigner function and for obtaining approximations to it in both cases of Boltzmann and Fermi Dirac statistics. Regular and singular asymptotic expansions of this Wigner function are derived and their validity shown for respectively smooth and discontinuous potentials. We also generalize some continuation methods, previously suggested for Boltzmann statistics, to the case of Fermi Dirac statistics. © 1991 Birkhäuser Verlag.
Hang-Yip Liu, Steffen Schulze, et al.
Proceedings of SPIE - The International Society for Optical Engineering
Martin Charles Golumbic, Renu C. Laskar
Discrete Applied Mathematics
A.R. Conn, Nick Gould, et al.
Mathematics of Computation
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering