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Volumn 39, Issue 33, 2006, Pages 10509-10521

Multiphase semiclassical approximation of the one-dimensional harmonic crystal: I. The periodic case

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EID: 33746895844     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/33/018     Document Type: Article
Times cited : (5)

References (22)
  • 2
    • 0037138007 scopus 로고    scopus 로고
    • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
    • Bao W Z, Jin Shi and Markowich P A 2002 On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime J. Comput. Phys. 175 487-524
    • (2002) J. Comput. Phys. , vol.175 , Issue.2 , pp. 487-524
    • Bao, W.Z.1    Shi, J.2    Markowich, P.A.3
  • 4
    • 0021563988 scopus 로고
    • Averaged multivalued solutions for scalar conservation laws
    • Brenier Y 1984 Averaged multivalued solutions for scalar conservation laws SIAM J. Numer. Anal. 21 1013-37
    • (1984) SIAM J. Numer. Anal. , vol.21 , Issue.6 , pp. 1013-1037
    • Brenier, Y.1
  • 5
    • 0001183792 scopus 로고    scopus 로고
    • A kinetic formulation for multibranch entropy solutions of scalar conservation laws
    • Brenier Y and Corrias L 1998 A kinetic formulation for multibranch entropy solutions of scalar conservation laws Ann. I. H. P. Nonlinear Anal. 15 169-90
    • (1998) Ann. I. H. P. Nonlinear Anal. , vol.15 , Issue.2 , pp. 169-190
    • Brenier, Y.1    Corrias, L.2
  • 6
    • 5444243818 scopus 로고    scopus 로고
    • Semiclassical asymptotics for weakly nonlinear Bloch waves
    • Carles R, Markowich P and Sparber C 2004 Semiclassical asymptotics for weakly nonlinear Bloch waves J. Stat. Phys. 117 343-75
    • (2004) J. Stat. Phys. , vol.117 , Issue.1-2 , pp. 343-375
    • Carles, R.1    Markowich, P.2    Sparber, C.3
  • 7
    • 0037031722 scopus 로고    scopus 로고
    • Semiclassical asymptotics in magnetic Bloch bands
    • Dimassi M, Guillot J C and Ralston J 2002 Semiclassical asymptotics in magnetic Bloch bands J. Phys. A: Math. Gen. 35 7597-605
    • (2002) J. Phys. A: Math. Gen. , vol.35 , Issue.35 , pp. 7597-7605
    • Dimassi, M.1    Guillot, J.C.2    Ralston, J.3
  • 8
    • 0037143007 scopus 로고    scopus 로고
    • Using k-branch entropy solutions for multivalued geometric optics computations
    • Gosse L 2002 Using k-branch entropy solutions for multivalued geometric optics computations J. Comput. Phys. 180 155-82
    • (2002) J. Comput. Phys. , vol.180 , Issue.1 , pp. 155-182
    • Gosse, L.1
  • 9
    • 3242737651 scopus 로고    scopus 로고
    • Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: I. Homogeneous problems
    • Gosse L and Markowich P A 2004 Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: I. Homogeneous problems J. Comput. Phys. 197 387-417
    • (2004) J. Comput. Phys. , vol.197 , Issue.2 , pp. 387-417
    • Gosse, L.1    Markowich, P.A.2
  • 10
    • 13844269242 scopus 로고    scopus 로고
    • Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: II. Impurities, confinement and Bloch oscillations
    • Gosse L 2004 Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: II. Impurities, confinement and Bloch oscillations J. Comput. Phys. 201 344-75
    • (2004) J. Comput. Phys. , vol.201 , Issue.1 , pp. 344-375
    • Gosse, L.1
  • 11
    • 25444466220 scopus 로고    scopus 로고
    • Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: III. From ab-initio models to WKB for Schrödinger-Poissonab-initio
    • Gosse L and Mauser N J 2006 Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: III. From ab-initio models to WKB for Schrödinger-Poissonab-initio J. Comput. Phys. 211 326-46
    • (2006) J. Comput. Phys. , vol.211 , Issue.1 , pp. 326-346
    • Gosse, L.1    Mauser, N.J.2
  • 12
    • 85128854996 scopus 로고    scopus 로고
    • Finite moment problems and applications to multiphase computations in geometric optics
    • Gosse L and Runborg O 2005 Finite moment problems and applications to multiphase computations in geometric optics Commun. Math. Sci. 3 373-92
    • (2005) Commun. Math. Sci. , vol.3 , pp. 373-392
    • Gosse, L.1    Runborg, O.2
  • 13
  • 14
    • 0035219337 scopus 로고    scopus 로고
    • Semiclassical limit for the Schrödinger equation for a short scale periodic potential
    • Hövermann F, Spohn H and Teufel S 2001 Semiclassical limit for the Schrödinger equation for a short scale periodic potential Commun. Math. Phys. 215 609-29
    • (2001) Commun. Math. Phys. , vol.215 , Issue.3 , pp. 609-629
    • Hövermann, F.1    Spohn, H.2    Teufel, S.3
  • 15
    • 4243419807 scopus 로고
    • Electrons in incommensurate crystals: Spectrum and localization
    • de Lange C and Janssen T 1983 Electrons in incommensurate crystals: spectrum and localization Phys. Rev. B 28 195-209
    • (1983) Phys. Rev. , vol.28 , Issue.1 , pp. 195-209
    • De Lange, C.1    Janssen, T.2
  • 16
    • 36449006348 scopus 로고
    • A wigner-function approach to semiclassical limits: Electrons in a periodic potential
    • Markowich P, Mauser N J and Poupaud F 1994 A wigner-function approach to semiclassical limits: electrons in a periodic potential J. Math. Phys. 35 1066-94
    • (1994) J. Math. Phys. , vol.35 , Issue.3 , pp. 1066-1094
    • Markowich, P.1    Mauser, N.J.2    Poupaud, F.3
  • 17
    • 0041336931 scopus 로고    scopus 로고
    • One-dimensional photonic crystal: The Kronig-Penney model
    • Mishra S and Satpathy S 2003 One-dimensional photonic crystal: the Kronig-Penney model Phys. Rev. B 68 045121
    • (2003) Phys. Rev. , vol.68 , pp. 045121
    • Mishra, S.1    Satpathy, S.2
  • 18
    • 0035730436 scopus 로고    scopus 로고
    • A generalized mean-field approach to the polaron
    • Nieto J 2001 A generalized mean-field approach to the polaron Math. Models and Meth. Appl. Sci. 11 1597-607
    • (2001) Math. Models and Meth. Appl. Sci. , vol.11 , Issue.9 , pp. 1597-1607
    • Nieto, J.1
  • 19
    • 0009207124 scopus 로고
    • Quantum adiabatic particle transport
    • Niu Q 1986 Quantum adiabatic particle transport Phys. Rev. B 34 5093-100
    • (1986) Phys. Rev. , vol.34 , Issue.8 , pp. 5093-5100
    • Niu, Q.1
  • 20
    • 0031523545 scopus 로고    scopus 로고
    • Phonon excitations in quasicrystals
    • Quilichini M and Janssen T 1997 Phonon excitations in quasicrystals Rev. Mod. Phys. 69 277-314
    • (1997) Rev. Mod. Phys. , vol.69 , Issue.1 , pp. 277-314
    • Quilichini, M.1    Janssen, T.2
  • 21
    • 0034551460 scopus 로고    scopus 로고
    • Some new results in multiphase geometrical optics
    • Runborg O 2000 Some new results in multiphase geometrical optics Math. Mod. Numer. Anal. 34 1203-31
    • (2000) Math. Mod. Numer. Anal. , vol.34 , Issue.6 , pp. 1203-1231
    • Runborg, O.1
  • 22
    • 0000952833 scopus 로고    scopus 로고
    • Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
    • Sundaram G and Niu Q 1999 Wave-packet dynamics in slowly perturbed crystals: gradient corrections and Berry-phase effects Phys. Rev. B 59 14915-25
    • (1999) Phys. Rev. , vol.59 , Issue.23 , pp. 14915-14925
    • Sundaram, G.1    Niu, Q.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.