Free Access
Issue
ESAIM: M2AN
Volume 24, Number 6, 1990
Page(s) 697 - 709
DOI https://doi.org/10.1051/m2an/1990240606971
Published online 31 January 2017
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  3. F. GOLSE,P. L. LIONS, B. PERTHAME and R. SENTIS, Regularity of the Moments of the Solution of a Transport Equation. J. Funct. Anal. 88, pp. 110-125, 1988. [MR: 923047] [Zbl: 0652.47031]
  4. J. C. GUILLOT,J. RALSTON and E. TRUBOWITZ, Semi-Classical Asymptotics in Solid State Physics. Communications in Math. Phys., vol. 116, n°3, pp. 401-415, 1988. [MR: 937768] [Zbl: 0672.35014]
  5. C. KITTEL, Introduction to Solid States Physics, J. Wiley and Sons, New York, 1968. [Zbl: 0052.45506]
  6. P. A. MARKOWICH and C. RINGHOFER, An Analysis of the Quantum Liouville Equation. To appear in ZAMM, 1988. [MR: 990011] [Zbl: 0682.46047]
  7. P. A. MARKOWICH, On the Equivalence of the Schrödinger and the Quantum Liouville Equations. To appear in Math. Meth. In the Appl. Sci., 1988. [MR: 1001097] [Zbl: 0696.47042]
  8. A. PAZY, Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer Verlag, New York-Berlin-Heidelberg-Tokyo, 1983. [MR: 710486] [Zbl: 0516.47023]
  9. V. I. TATARSKII, The Wigner Representation of Quantum Mechanics. Sov. Phys. Usp., vol. 26, n°4, pp. 311-327, 1983. [MR: 730012]
  10. A. ARNOLD,P. DEGOND, P. A. MARKOWICH and H. STEINRÜCK, The Wigner-Poisson Equation in a Crystal, to appear in : Applied Mathematics Letters, 1989. [MR: 1003856] [Zbl: 0822.58070]
  11. P. DEGOND, P. A. MARKOWICH and H. STEINRÜCK, A Mathematical Derivation of the Wigner-Poisson Problem on a bounded Brillouin Zone from the Schrödinger Equation, manuscript.

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