메뉴 건너뛰기




Volumn 190, Issue 3, 1998, Pages 541-548

The existence of generalised wannier functions for one-dimensional systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032342405     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050251     Document Type: Article
Times cited : (32)

References (22)
  • 1
    • 0041040055 scopus 로고
    • 2 + V(x) + ∈x, with V periodic and ∈ complex
    • 2 + V(x) + ∈x, with V periodic and ∈ complex. J.Phys.A 12,2393-2398 (1979)
    • (1979) J.Phys.A , vol.12 , pp. 2393-2398
    • Avron, J.E.1
  • 2
    • 0040446131 scopus 로고
    • Perturbed periodic hamiltonians: Essential spectrum and exponential decay of eigenfunctions
    • Boutet de Monvel-Berthier, A., Nenciu, A., Nenciu, G.: Perturbed Periodic Hamiltonians: Essential Spectrum and Exponential Decay of Eigenfunctions. Lett.Math.Phys. 34, 119 (1995)
    • (1995) Lett.Math.Phys. , vol.34 , pp. 119
    • Boutet De Monvel-Berthier, A.1    Nenciu, A.2    Nenciu, G.3
  • 3
    • 77956944547 scopus 로고
    • Formalism of band theory
    • Seitz, F., Turnbull, D. (eds.) New York, London: Academic Press
    • Blount, E. I. Formalism of Band Theory. In : Seitz, F., Turnbull, D. (eds.) Solid State Phys. 13,305-373 (1962) New York, London: Academic Press
    • (1962) Solid State Phys. , vol.13 , pp. 305-373
    • Blount, E.I.1
  • 5
    • 36149023156 scopus 로고
    • Energy bands and projection operators in crystals: Analytic and asymptotic properties
    • des Cloizeaux, J.: Energy Bands and Projection Operators in Crystals: Analytic and Asymptotic Properties. Phys.Rev. 135, A685-A697 (1964)
    • (1964) Phys.Rev. , vol.135
    • Des Cloizeaux, J.1
  • 6
    • 36149024257 scopus 로고
    • Analytic properties of n-Dimensional energy bands and wannier functions
    • des Cloizeaux, J.: Analytic Properties of n-Dimensional Energy Bands and Wannier Functions. Phys.Rev. 135, A698-A707 (1964)
    • (1964) Phys.Rev. , vol.135
    • Des Cloizeaux, J.1
  • 7
    • 0000095445 scopus 로고
    • Ground state of a two-dimension electron in a periodic magnetic field
    • Dubrovin, B. A., Novikov, S. P.: Ground state of a two-dimension electron in a periodic magnetic field. Zh.Eksp.Teor.Fiz. 79, 1006-1016 (1980)
    • (1980) Zh.Eksp.Teor.Fiz. , vol.79 , pp. 1006-1016
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 8
    • 0040446132 scopus 로고
    • Theory of generalised Wannier functions for nearly periodic potentials
    • Geller, M. R., Kohn, W.: Theory of generalised Wannier functions for nearly periodic potentials. Phys. Rev. 48, 14085-14088 (1993)
    • (1993) Phys. Rev. , vol.48 , pp. 14085-14088
    • Geller, M.R.1    Kohn, W.2
  • 9
    • 0000301201 scopus 로고
    • Equation de schrödinger avec champs magnétique et équation de harper
    • Helffer, B., Sjöstrand, J.: Equation de Schrödinger avec champs magnétique et équation de Harper, Springer Lectures Notes in Mathematics. 345, 118-197 (1989).
    • (1989) Springer Lectures Notes in Mathematics. , vol.345 , pp. 118-197
    • Helffer, B.1    Sjöstrand, J.2
  • 10
    • 0000521669 scopus 로고
    • Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons
    • Kievelsen, S.: Wannier functions in one-dimensional disordered systems: Application to fractionally charged solitons. Phys.Rev. B26, 4269-4274 (1982)
    • (1982) Phys.Rev. , vol.B26 , pp. 4269-4274
    • Kievelsen, S.1
  • 11
    • 36149021109 scopus 로고
    • Analytic properties of bloch waves and wannier functions
    • Kohn, W.: Analytic Properties of Bloch Waves and Wannier Functions. Phys. Rev. 115, 809-821 (1959)
    • (1959) Phys. Rev. , vol.115 , pp. 809-821
    • Kohn, W.1
  • 12
    • 0001933186 scopus 로고
    • Wannier functions in a simple nonperiodic system
    • Kohn, W., Onffroy, J.: Wannier Functions in a Simple Nonperiodic System. Phys.Rev. B8, 2485-2495 (1973)
    • (1973) Phys.Rev. , vol.B8 , pp. 2485-2495
    • Kohn, W.1    Onffroy, J.2
  • 13
    • 0002438025 scopus 로고
    • Existence of the exponentially localised wannier functions
    • Nenciu, G.: Existence of the Exponentially Localised Wannier Functions. Comm.Math.Phys. 91, 81-85 (1983)
    • (1983) Comm.Math.Phys. , vol.91 , pp. 81-85
    • Nenciu, G.1
  • 14
    • 12044249741 scopus 로고
    • Dynamics of band electrons in electric and magnetic fields: Rigorous justification of effective Hamiltonians
    • Nenciu, G.: Dynamics of band electrons in electric and magnetic fields: rigorous justification of effective Hamiltonians. Rev.Mod.Phys. 63, 91-127 (1991)
    • (1991) Rev.Mod.Phys. , vol.63 , pp. 91-127
    • Nenciu, G.1
  • 15
    • 0000161625 scopus 로고
    • Dynamics of bloch electrons in external electric fields: I.Bounds for interband transitions and effective wannier Hamiltonians
    • Nenciu, A., Nenciu, G.: Dynamics of Bloch Electrons in External Electric Fields: I.Bounds for Interband Transitions and Effective Wannier Hamiltonians. J.Phys.A:Math.Gen. 14 2817-2827 (1981)
    • (1981) J.Phys.A:Math.Gen. , vol.14 , pp. 2817-2827
    • Nenciu, A.1    Nenciu, G.2
  • 16
    • 0000875652 scopus 로고
    • Existence of exponentially localised wannier functions for nonperiodic systems
    • Nenciu, A., Nenciu, G.: Existence of Exponentially Localised Wannier Functions for Nonperiodic Systems. Phys.Rev. B47, 10112-10115 (1993)
    • (1993) Phys.Rev. , vol.B47 , pp. 10112-10115
    • Nenciu, A.1    Nenciu, G.2
  • 17
    • 0000127683 scopus 로고
    • Theory of the quantized adiabatic particle transport
    • Niu, Q.: Theory of the quantized adiabatic particle transport. Modern Physics Letters B14,15, 923-931 (1991)
    • (1991) Modern Physics Letters , vol.15 B14 , pp. 923-931
    • Niu, Q.1
  • 19
    • 0000274072 scopus 로고
    • Wannier functions in crystals with surfaces
    • Rehr, J. J., Kohn, W.: Wannier functions in crystals with surfaces. Phys.Rev. B10, 448-455 (1973)
    • (1973) Phys.Rev. , vol.B10 , pp. 448-455
    • Rehr, J.J.1    Kohn, W.2
  • 20
    • 0000915510 scopus 로고
    • Wannier functions for magnetic sub-bands
    • Thouless, D. J.: 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
  • 21
    • 36149009855 scopus 로고
    • The structure of electronic excitation levels in insulating crystals
    • Wannier, G. H.: The Structure of Electronic Excitation Levels in Insulating Crystals. Phys.Rev. 52, 191-197 (1937)
    • (1937) Phys.Rev. , vol.52 , pp. 191-197
    • Wannier, G.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.