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Volumn 8, Issue 5, 2007, Pages 995-1011

Triviality of Bloch and Bloch-Dirac bundles

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EID: 34748863542     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-007-0326-8     Document Type: Article
Times cited : (170)

References (28)
  • 1
    • 34748926815 scopus 로고    scopus 로고
    • S. J. Avis, C. J. Isham, Quantum field theory and fibre bundles in a general space-time, in Recent Developments in Gravitation, eds. M. Levy and S. Deser, Plenum, (Proceeding of the 1978 NATO Advanced Study Institute, Cargése), 1979.
    • S. J. Avis, C. J. Isham, Quantum field theory and fibre bundles in a general space-time, in "Recent Developments in Gravitation", eds. M. Levy and S. Deser, Plenum, (Proceeding of the 1978 NATO Advanced Study Institute, Cargése), 1979.
  • 5
    • 36149023156 scopus 로고
    • Energy bands and projection operators in a crystal: Analytic and asymptotic properties
    • J. des Cloizeaux, Energy bands and projection operators in a crystal: Analytic and asymptotic properties, Phys. Rev. 135, A685-A697, 1964.
    • (1964) Phys. Rev , vol.135
    • des Cloizeaux, J.1
  • 7
    • 0000095445 scopus 로고    scopus 로고
    • Ground state of a two-dimensional electron in a periodic magnetic field
    • B. A. Dubrovin, S. P. Novikov, Ground state of a two-dimensional electron in a periodic magnetic field, Zh. Eksp. Teor. Fiz 79, 1006-1016.
    • Zh. Eksp. Teor. Fiz , vol.79 , pp. 1006-1016
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 8
    • 34748902724 scopus 로고
    • Phys. JETP 52
    • Translated in Sov. Phys. JETP 52, Vol. 3, 511-516, 1980.
    • (1980) , vol.3 , pp. 511-516
    • Translated in Sov1
  • 10
    • 0033246389 scopus 로고    scopus 로고
    • Linear scaling electronic structure methods
    • S. Goedecker, Linear scaling electronic structure methods, Rev. Mod. Phys. 71, 1085, 1999.
    • (1999) Rev. Mod. Phys , vol.71 , pp. 1085
    • Goedecker, S.1
  • 11
    • 0000301201 scopus 로고
    • Équation de Schrödinger avec champ magnétique et équation de Harper
    • Schrödinger operators Sønderborg, August, Springer, Berlin
    • B. Helffer, J. Sjöstrand, Équation de Schrödinger avec champ magnétique et équation de Harper, in Schrödinger operators (Sønderborg, August 1988), Lecture Notes in Physics 345, Springer, Berlin, 118-19719, 1989.
    • (1988) Lecture Notes in Physics , vol.345 , pp. 118-19719
    • Helffer, B.1    Sjöstrand, J.2
  • 13
    • 0000521669 scopus 로고
    • Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons
    • S. Kievelsen, Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons, Phys. Rev. B 26, 4269-4274, 1982.
    • (1982) Phys. Rev. B , vol.26 , pp. 4269-4274
    • Kievelsen, S.1
  • 14
    • 0347426049 scopus 로고
    • Topological characteristic of the spectrum of the Schrödinger operator in a magnetic field and in a weak potential
    • A. S. Lyskova, Topological characteristic of the spectrum of the Schrödinger operator in a magnetic field and in a weak potential, Theor. Math. Physics, 65, no. 3, 1218-1225, 1985.
    • (1985) Theor. Math. Physics , vol.65 , Issue.3 , pp. 1218-1225
    • Lyskova, A.S.1
  • 15
    • 4243690324 scopus 로고    scopus 로고
    • Maximally localized generalized Wannier functions for composite energy bands
    • N. Marzari, D. Vanderbilt, Maximally localized generalized Wannier functions for composite energy bands, Phys. Rev. B 56, 12847-12865, 1997.
    • (1997) Phys. Rev. B , vol.56 , pp. 12847-12865
    • Marzari, N.1    Vanderbilt, D.2
  • 16
    • 34748870583 scopus 로고    scopus 로고
    • U. Mauthner, The Dirac equation with periodic potential. Ph. D. Thesis, Technische Universität München, in preparation.
    • U. Mauthner, The Dirac equation with periodic potential. Ph. D. Thesis, Technische Universität München, in preparation.
  • 17
    • 12044249741 scopus 로고
    • Dynamics of band electrons in electric and magnetic fields: Rigorous justification of the effective Hamiltonians
    • G. Nenciu, Dynamics of band electrons in electric and magnetic fields: Rigorous justification of the effective Hamiltonians, Rev. Mod. Phys. 63, 91-127, 1991.
    • (1991) Rev. Mod. Phys , vol.63 , pp. 91-127
    • Nenciu, G.1
  • 18
    • 0032342405 scopus 로고
    • The existence of generalized Wannier functions for one-dimensional systems
    • A. Nenciu, G. Nenciu, The existence of generalized Wannier functions for one-dimensional systems, Comm. Math. Phys. 190, 541-548, 1988.
    • (1988) Comm. Math. Phys , vol.190 , pp. 541-548
    • Nenciu, A.1    Nenciu, G.2
  • 19
    • 0002438025 scopus 로고
    • Existence of the exponentially localised Wannier functions
    • G. Nenciu, Existence of the exponentially localised Wannier functions, Comm. Math. Phys. 91, no. 1, 81-85, 1983.
    • (1983) Comm. Math. Phys , vol.91 , Issue.1 , pp. 81-85
    • Nenciu, G.1
  • 20
    • 0001505369 scopus 로고
    • Magnetic Bloch functions and vector bundles. Typical dispersion law and quantum numbers
    • S. P. Novikov, Magnetic Bloch functions and vector bundles. Typical dispersion law and quantum numbers, Sov. Math. Dokl. 23, no. 2, 298-303, 1981.
    • (1981) Sov. Math. Dokl , vol.23 , Issue.2 , pp. 298-303
    • Novikov, S.P.1
  • 22
    • 0344982977 scopus 로고    scopus 로고
    • Effective dynamics for Bloch electrons: Peieris substitution and beyond
    • G. Panati, H. Spohn, S. Teufel, Effective dynamics for Bloch electrons: Peieris substitution and beyond, Comm. Math. Phys. 242, 547-578, 2003.
    • (2003) Comm. Math. Phys , vol.242 , pp. 547-578
    • Panati, G.1    Spohn, H.2    Teufel, S.3
  • 27
    • 0000915510 scopus 로고
    • Wannier functions for magnetic sub-bands
    • D. J. Thouless, Wannier functions for magnetic sub-bands, J. Phys. C: Solid State Phys. 17, L325-L327, 1984.
    • (1984) J. Phys. C: Solid State Phys , vol.17
    • Thouless, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.