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Volumn 19, Issue 2, 1999, Pages 95-116

Semi-classical limits in a crystal with a Coulombian self-consistent potential: Effective mass theorems

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EID: 0003154771     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (17)
  • 1
    • 0012307177 scopus 로고    scopus 로고
    • Self-consistent relaxation-time models in quantum mechanics
    • A. Arnold, Self-consistent relaxation-time models in quantum mechanics, Comm. Partial Differential Equations 3-4 (1996), 473-506.
    • (1996) Comm. Partial Differential Equations , vol.3-4 , pp. 473-506
    • Arnold, A.1
  • 5
    • 0003072370 scopus 로고
    • Mesures semi-classiques et ondes de Bloch
    • P. Gérard, Mesures semi-classiques et ondes de Bloch, Sem. Ecole Polytech. XVI (1991), 1-19.
    • (1991) Sem. Ecole Polytech. , vol.16 , pp. 1-19
    • Gérard, P.1
  • 9
    • 0000269855 scopus 로고
    • The classical limit of a self-consistent quantum-Vlasov equation in 3-D
    • P.A. Markowich and N.J. Mauser, The classical limit of a self-consistent quantum-Vlasov equation in 3-D, Math. Models Methods Appl. Sci. 3 (1993), 109-124.
    • (1993) Math. Models Methods Appl. Sci. , vol.3 , pp. 109-124
    • Markowich, P.A.1    Mauser, N.J.2
  • 11
    • 36449006348 scopus 로고
    • A Wigner function approach to semiclassical limits: Electrons in a periodic potential
    • P.A. Markowich, N.J. Mauser and F. Poupaud, A Wigner function approach to semiclassical limits: electrons in a periodic potential, J. Math. Phys. 35 (1994), 1066-1094.
    • (1994) J. Math. Phys. , vol.35 , pp. 1066-1094
    • Markowich, P.A.1    Mauser, N.J.2    Poupaud, F.3
  • 12
    • 85129697344 scopus 로고
    • Homogenization of the energy for Maxwell systems in periodic media
    • P.A. Markowich and F. Poupaud, Homogenization of the energy for Maxwell systems in periodic media, Ann. Scuola Norm. Sup. Pisa 23 (1994), 301-324.
    • (1994) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 301-324
    • Markowich, P.A.1    Poupaud, F.2
  • 13
  • 14
    • 0040062089 scopus 로고    scopus 로고
    • Semi-classical limits in a crystal with an external potential, effective mass theorems
    • F. Poupaud and C. Ringhofer, Semi-classical limits in a crystal with an external potential, effective mass theorems, Comm. Partial Differential Equations 21 (1996).
    • (1996) Comm. Partial Differential Equations , vol.21
    • Poupaud, F.1    Ringhofer, C.2
  • 16
    • 84974050752 scopus 로고
    • H-measures: A new approach for studying homogenization, oscillation and concentration effects in partial differential equations
    • L. Tartar, H-measures: a new approach for studying homogenization, oscillation and concentration effects in partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 193-230.
    • (1990) Proc. Roy. Soc. Edinburgh Sect. A , vol.115 , pp. 193-230
    • Tartar, L.1
  • 17
    • 51249187120 scopus 로고
    • Theory of Bloch waves
    • C.H. Wilcox, Theory of Bloch waves, J. Anal. Math. 33 (1978), 146-167.
    • (1978) J. Anal. Math. , vol.33 , pp. 146-167
    • Wilcox, C.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.