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Volumn 204, Issue 3, 1999, Pages 619-649

The Boltzmann equation for a one-dimensional quantum Lorentz gas

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EID: 0033451117     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050659     Document Type: Article
Times cited : (15)

References (18)
  • 3
    • 0032326766 scopus 로고    scopus 로고
    • On the distribution of of free path lenghts for periodic Lorentz gas
    • [BGW] Bourgain, J., Golse, F. and Wennberg, B.: On the distribution of of free path lenghts for periodic Lorentz gas. Commun. Math. Phys. 190, 491-508 (1997)
    • (1997) Commun. Math. Phys. , vol.190 , pp. 491-508
    • Bourgain, J.1    Golse, F.2    Wennberg, B.3
  • 5
    • 0000632181 scopus 로고    scopus 로고
    • Linear Boltzmann equation as scaling limit of quantum Lorentz gas
    • [EY1] Erdos, L. and Yau, H.T.: Linear Boltzmann equation as scaling limit of quantum Lorentz gas. Contemp. Math. 217, 137-155 (1997)
    • (1997) Contemp. Math. , vol.217 , pp. 137-155
    • Erdos, L.1    Yau, H.T.2
  • 7
    • 0009002044 scopus 로고
    • Stationary phase method and pseudodifferential operators
    • [F] Fedoryuk, M.V.: Stationary phase method and pseudodifferential operators. Uspekhi Mat. Nauk 26, 67-112 (1971)
    • (1971) Uspekhi Mat. Nauk , vol.26 , pp. 67-112
    • Fedoryuk, M.V.1
  • 8
    • 0000249735 scopus 로고
    • Divergences and approach to equilibrium in the Lorentz and the Wind-tree models
    • [G1] Gallavotti, G.: Divergences and approach to equilibrium in the Lorentz and the Wind-tree models. Phys. Rev. 185, 308-322 (1969)
    • (1969) Phys. Rev. , vol.185 , pp. 308-322
    • Gallavotti, G.1
  • 9
    • 0009007339 scopus 로고
    • Rigorous theory of the Boltzmann equation in the Lorentz gas
    • Reprinted in: G. Gallavotti Quaderni del CNR Nota interna n 358 Istituto di Fisica Univerità di Roma
    • [G2] Gallavotti, G.: Rigorous theory of the Boltzmann equation in the Lorentz gas. Reprinted in: G. Gallavotti Meccanica Statistica, Quaderni del CNR n. 50, Nota interna n 358 Istituto di Fisica Univerità di Roma, 1972 (1995), pp. 191-204
    • (1972) Meccanica Statistica , vol.50 , pp. 191-204
    • Gallavotti, G.1
  • 10
    • 17644437865 scopus 로고    scopus 로고
    • The Mourre theory for analytically fibered operators
    • [GN] Gérard, C. and Nier, F.: The Mourre theory for analytically fibered operators. J. Funct. Anal. 152, 202-219 (1998)
    • (1998) J. Funct. Anal. , vol.152 , pp. 202-219
    • Gérard, C.1    Nier, F.2
  • 11
    • 0000111115 scopus 로고
    • On the weak coupling limit for a Fermi gas in a random potential
    • [HLW] Ho, T.G., Landau, L.J., and Wilkins, A.J.: On the weak coupling limit for a Fermi gas in a random potential. Rev. Math. Phys. 5, 209-298 (1994)
    • (1994) Rev. Math. Phys. , vol.5 , pp. 209-298
    • Ho, T.G.1    Landau, L.J.2    Wilkins, A.J.3
  • 12
    • 21844502570 scopus 로고
    • Asymptotic analysis of a scaled Wigner equation and Quantum scattering
    • [N1] Nier, F: Asymptotic analysis of a scaled Wigner equation and Quantum scattering. Transp. Theor. Stat. Phys. 24, 591-629 (1995)
    • (1995) Transp. Theor. Stat. Phys. , vol.24 , pp. 591-629
    • Nier, F.1
  • 13
    • 0001485147 scopus 로고    scopus 로고
    • A semiclassical picture of Quantum scattering
    • [N2] Nier, F.: A semiclassical picture of Quantum scattering. Ann. Sci. Ec. Norm. Sup. 4, 148-183 (1996)
    • (1996) Ann. Sci. Ec. Norm. Sup. , vol.4 , pp. 148-183
    • Nier, F.1
  • 14
    • 0009007340 scopus 로고
    • Applications of the propagator for the delta function potential
    • Gutzwiller, M.C., Iuomata, A. Klauder, J.K., Streit, L. eds., Singapore: World Scientific
    • [Sc] Schulman L. S.: Applications of the propagator for the delta function potential. In: Path integrals from mev to Mev, Gutzwiller, M.C., Iuomata, A. Klauder, J.K., Streit, L. eds., Singapore: World Scientific, 1986, pp. 302-311
    • (1986) Path Integrals from Mev to Mev , pp. 302-311
    • Schulman, L.S.1
  • 15
    • 4344683720 scopus 로고
    • Quantum kinetic equation
    • M. Fannes, C. Maes, A. Verbeure, eds., On Three Levels: Micro-, Meso- and Macro-Approaches in Physics, New York and London: Plenum Press
    • [Sp 1] Spohn, H.: Quantum kinetic equation. In: M. Fannes, C. Maes, A. Verbeure, eds., On Three Levels: Micro-, Meso- and Macro-Approaches in Physics, NATO ASI Series B: Physics 324, (1994) New York and London: Plenum Press, pp. 1-10
    • (1994) NATO ASI Series B: Physics , vol.324 , pp. 1-10
    • Spohn, H.1
  • 16
    • 0001315073 scopus 로고
    • The Lorentz process converges to a random flight process
    • [Sp 2] Spohn, H.: The Lorentz process converges to a random flight process. Commun. Math. Phys. 60, 277-290 (1978)
    • (1978) Commun. Math. Phys. , vol.60 , pp. 277-290
    • Spohn, H.1
  • 17
    • 0001200202 scopus 로고
    • Derivation of the transport equation for electron moving through random impurities
    • [Sp 3] Spohn, H.: Derivation of the transport equation for electron moving through random impurities. J. Stat. Phys. 27, 385 (1977)
    • (1977) J. Stat. Phys. , vol.27 , pp. 385
    • Spohn, H.1
  • 18
    • 35949020007 scopus 로고
    • Kinetic equations for Hamiltonian dynamics: Markovian limits
    • [Sp 4] Spohn, H.: Kinetic equations for Hamiltonian dynamics: Markovian limits. Rev. Mod. Phys. 53, 569-615 (1980)
    • (1980) Rev. Mod. Phys. , vol.53 , pp. 569-615
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.