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Volumn 53, Issue 6, 2000, Pages 667-735

Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation

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EID: 0034418177     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5     Document Type: Article
Times cited : (201)

References (9)
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    • Erdös, L.; Yau, H.-T. Linear Boltzmann equation as scaling limit of quantum Lorentz gas Advances in differential equations and mathematical physics (Atlanta, GA, 1997), 137-155. Contemp. Math., 217. Amer. Math. Soc., Providence, R.I., 1998.
    • (1998) Contemp. Math. , vol.217 , pp. 137-155
    • Erdös, L.1    Yau, H.-T.2
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    • The Boltzmann equation for a one-dimensional quantum Lorentz gas
    • Esposito, R.; Pulvirenti, M.; Teta, A. The Boltzmann equation for a one-dimensional quantum Lorentz gas. Comm. Math. Phys. 204 (1999), no. 3, 619-649.
    • (1999) Comm. Math. Phys. , vol.204 , Issue.3 , pp. 619-649
    • Esposito, R.1    Pulvirenti, M.2    Teta, A.3
  • 5
    • 0007090280 scopus 로고
    • Rigorous theory of the Boltzmann equation in the Lorentz gas
    • Università di Roma
    • Gallavotti, G. Rigorous theory of the Boltzmann equation in the Lorentz gas. Nota interna n. 358, Università di Roma, 1970.
    • (1970) Nota Interna , Issue.358
    • Gallavotti, G.1
  • 6
    • 0000111115 scopus 로고
    • On the weak coupling limit for a Fermi gas in a random potential
    • Ho, T. G.; Landau, L. J.; Wilkins, A. J. On the weak coupling limit for a Fermi gas in a random potential. Rev. Math. Phys. 5 (1993), no. 2, 209-298.
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    • Ho, T.G.1    Landau, L.J.2    Wilkins, A.J.3
  • 7
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    • A limit theorem for stochastic acceleration
    • Kesten, H.; Papanicolaou, G. C. A limit theorem for stochastic acceleration. Comm. Math. Phys. 78 (1980/81), no. 1, 19-63.
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    • Kesten, H.1    Papanicolaou, G.C.2
  • 8
    • 0001200202 scopus 로고
    • Derivation of the transport equation for electrons moving through random impurities
    • Spohn, H. Derivation of the transport equation for electrons moving through random impurities. J. Statist. Phys. 17 (1977), no. 6, 385-412.
    • (1977) J. Statist. Phys. , vol.17 , Issue.6 , pp. 385-412
    • Spohn, H.1
  • 9
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    • The Lorentz process converges to a random flight process
    • Spohn, H. The Lorentz process converges to a random flight process. Comm. Math. Phys. 60 (1978), no. 3, 277-290.
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    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.