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Volumn 40, Issue 2, 2005, Pages 163-187

Asymptotic analysis of quantum scattering under mesoscopic scaling

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; FUNCTIONS; INTEGRAL EQUATIONS; SCATTERING;

EID: 23744508288     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 2942646600 scopus 로고    scopus 로고
    • Some considerations on the derivation of the nonlinear quantum Boltzmann equation
    • D. Benedetto, F. Castella, R. Esposito and M. Pulvirenti, Some considerations on the derivation of the nonlinear quantum Boltzmann equation, J. Stat. Phys. 116(1/4) (2004), 381-410.
    • (2004) J. Stat. Phys. , vol.116 , Issue.1-4 , pp. 381-410
    • Benedetto, D.1    Castella, F.2    Esposito, R.3    Pulvirenti, M.4
  • 2
    • 0041450241 scopus 로고
    • The low density limit for an N-level system interacting with a free Bose or Fermi gas
    • R. Dümcke, The low density limit for an N-level system interacting with a free Bose or Fermi gas, Comm. Math. Phys. 97(3) (1985), 331-359.
    • (1985) Comm. Math. Phys. , vol.97 , Issue.3 , pp. 331-359
    • Dümcke, R.1
  • 3
    • 0000632181 scopus 로고    scopus 로고
    • Linear Boltzmann equation as scaling limit of quantum Lorentz gas
    • Atlanta, GA, Contemp. Math., Amer. Math. Soc., Providence, RI
    • L. Erdös and H.T. Yau, Linear Boltzmann equation as scaling limit of quantum Lorentz gas, in: Advances in Differential Equations and Mathematical Physics, Atlanta, GA, 1997, Contemp. Math., Vol. 217, Amer. Math. Soc., Providence, RI, 1998, pp. 137-155.
    • (1997) Advances in Differential Equations and Mathematical Physics , vol.217 , pp. 137-155
    • Erdös, L.1    Yau, H.T.2
  • 4
    • 0034418177 scopus 로고    scopus 로고
    • Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
    • L. Erdös and H.T. Yau, Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation, Comm. Pure Appl. Math. 53(6) (2000), 667-735.
    • (2000) Comm. Pure Appl. Math. , vol.53 , Issue.6 , pp. 667-735
    • Erdös, L.1    Yau, H.T.2
  • 5
    • 0033451117 scopus 로고    scopus 로고
    • The Boltzmann equation for a one-dimensional quantum Lorentz gas
    • Erratum, Comm. Math. Phys. 214(2) (2000), 493-494
    • R. Esposito, M. Pulvirenti and A. Teta, The Boltzmann equation for a one-dimensional quantum Lorentz gas, Comm. Math. Phys. 204(3) (1999), 619-649; Erratum, Comm. Math. Phys. 214(2) (2000), 493-494.
    • (1999) Comm. Math. Phys. , vol.204 , Issue.3 , pp. 619-649
    • Esposito, R.1    Pulvirenti, M.2    Teta, A.3
  • 6
    • 0000111115 scopus 로고
    • On the weak coupling limit for a Fermi gas in a random potential
    • T.G. Ho, L.J. Landau and A.J. Wilkins, On the weak coupling limit for a Fermi gas in a random potential, Rev. Math. Phys. 5(2) (1993), 209-298.
    • (1993) Rev. Math. Phys. , vol.5 , Issue.2 , pp. 209-298
    • Ho, T.G.1    Landau, L.J.2    Wilkins, A.J.3
  • 7
    • 0041197755 scopus 로고
    • Eigenfunction expansion associated with the Schrödinger operators and their applications to scattering theory
    • T. Ikebe, Eigenfunction expansion associated with the Schrödinger operators and their applications to scattering theory, Arch. Rational Mech. Anal. 5 (1960), 1-34.
    • (1960) Arch. Rational Mech. Anal. , vol.5 , pp. 1-34
    • Ikebe, T.1
  • 8
    • 0030388835 scopus 로고    scopus 로고
    • Transport equations for elastic and other waves in random media
    • J.B. Keller, G. Papanicolaou and L. Ryzhik, Transport equations for elastic and other waves in random media, Wave Motion 24(4) (1996), 327-370.
    • (1996) Wave Motion , vol.24 , Issue.4 , pp. 327-370
    • Keller, J.B.1    Papanicolaou, G.2    Ryzhik, L.3
  • 9
    • 21844517262 scopus 로고
    • Observation of quantum particles on a large space-time scale
    • L.J. Landau, Observation of quantum particles on a large space-time scale, J. Statist. Phys. 77(1-2) (1994), 259-309.
    • (1994) J. Statist. Phys. , vol.77 , Issue.1-2 , pp. 259-309
    • Landau, L.J.1
  • 10
    • 21844502570 scopus 로고
    • Asymptotic analysis of a scaled Wigner equation and quantum scattering
    • F. Nier, Asymptotic analysis of a scaled Wigner equation and quantum scattering, Transport Theory Statist. Phys. 24(4-5) (1995), 591-629.
    • (1995) Transport Theory Statist. Phys. , vol.24 , Issue.4-5 , pp. 591-629
    • Nier, F.1
  • 11
    • 0001485147 scopus 로고    scopus 로고
    • A semi-classical picture of quantum scattering
    • F. Nier, A semi-classical picture of quantum scattering, Ann. Sci. École Norm. Sup. (4) 29 (1996), 149-183.
    • (1996) Ann. Sci. École Norm. Sup. (4) , vol.29 , pp. 149-183
    • Nier, F.1
  • 14
    • 0001200202 scopus 로고
    • Derivation of the transport equation for electrons moving through random impurities
    • H. Spohn, Derivation of the transport equation for electrons moving through random impurities, J. Statist. Phys. 17(6) (1977), 385-412.
    • (1977) J. Statist. Phys. , vol.17 , Issue.6 , pp. 385-412
    • Spohn, H.1
  • 15
    • 35949020007 scopus 로고
    • Kinetic equations from Hamiltonian dynamics: Markovian limits
    • H. Spohn, Kinetic equations from Hamiltonian dynamics: Markovian limits, Rev. Modern Phys. 52(3) (1980), 569-615.
    • (1980) Rev. Modern Phys. , vol.52 , Issue.3 , pp. 569-615
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.