메뉴 건너뛰기




Volumn 23, Issue 3, 2011, Pages 233-260

Applications of magnetic ΨdO techniques to SAPT

Author keywords

Bloch electron; Magnetic field; pseudodifferential operators; Weyl calculus

Indexed keywords


EID: 79955426418     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X11004278     Document Type: Article
Times cited : (32)

References (29)
  • 3
    • 44349084730 scopus 로고    scopus 로고
    • A new approach to the modelling of local defects in crystals: The reduced Hartree-Fock case
    • E. Cancés, A. Deleurence and M. Lewin. A new approach to the modelling of local defects in crystals: The reduced Hartree-Fock case, Comm. Math. Phys. 281(1) (2008) 129-177.
    • (2008) Comm. Math. Phys. , vol.281 , Issue.1 , pp. 129-177
    • Cancés, E.1    Deleurence, A.2    Lewin, M.3
  • 4
    • 47249146854 scopus 로고    scopus 로고
    • Non-perturbative embedding of local defects in crystalline materials
    • E. Cancés, A. Deleurence and M. Lewin, Non-perturbative embedding of local defects in crystalline materials, J. Phys.: Condens. Matt. 20(29) (2008) 294213.
    • (2008) J. Phys.: Condens. Matt. , vol.20 , Issue.29 , pp. 294213
    • Cancés, E.1    Deleurence, A.2    Lewin, M.3
  • 7
    • 0035534454 scopus 로고    scopus 로고
    • Noncommutative Bloch theory
    • M. J. Gruber, Noncommutative Bloch theory, J. Math. Phys. 42(6) (2001) 2438-2465.
    • (2001) J. Math. Phys. , vol.42 , Issue.6 , pp. 2438-2465
    • Gruber, M.J.1
  • 8
    • 28244490244 scopus 로고
    • Single band motion of conduction electrons in a uniform magnetic field
    • P. G. Harper, Single band motion of conduction electrons in a uniform magnetic field, Proc. Phys. Soc. A 68 (1955) 874-892.
    • (1955) Proc. Phys. Soc. A , vol.68 , pp. 874-892
    • Harper, P.G.1
  • 9
    • 0002330387 scopus 로고
    • Analyse semi-classique pour l'équation de Harper (avec application ̀a l'étude de Schrödinger avec champ magnétique)
    • B. Helffer and J. Sjöstrand, Analyse semi-classique pour l'équation de Harper (avec application ̀a l'étude de Schrödinger avec champ magnétique), Ḿem. Soc. Math. France 34 (1988) 1761-1771.
    • (1988) Ḿem. Soc. Math. France , vol.34 , pp. 1761-1771
    • Helffer, B.1    Sjöstrand, J.2
  • 10
    • 0002330387 scopus 로고
    • Analyse semi-classique pour l'équation de Harper III
    • B. Helffer and J. Sjöstrand, Analyse semi-classique pour l'équation de Harper III, Ḿem. Soc. Math. France 39 (1989) 1-124.
    • (1989) Ḿem. Soc. Math. France , vol.39 , pp. 1-124
    • Helffer, B.1    Sjöstrand, J.2
  • 11
    • 0041070561 scopus 로고
    • Analyse semi-classique pour l'équation de Harper II (comportement semi-classique pr̀es d'un rationnel)
    • B. Helffer and J. Sjöstrand, Analyse semi-classique pour l'équation de Harper II (comportement semi-classique pr̀es d'un rationnel), Ḿem. Soc. Math. France 40 (1990) 1-139.
    • (1990) Ḿem. Soc. Math. France , vol.40 , pp. 1-139
    • Helffer, B.1    Sjöstrand, J.2
  • 12
    • 0001032458 scopus 로고
    • Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
    • D. R. Hofstadter, Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields, Phys. Rev. B 14 (1976) 2239-2249.
    • (1976) Phys. Rev. B , vol.14 , pp. 2239-2249
    • Hofstadter, D.R.1
  • 13
    • 0002820858 scopus 로고
    • Fourier integral operators 1
    • L. Hörmander, Fourier integral operators 1, Acta Math. 127(1) (1972) 79-183.
    • (1972) Acta Math. , vol.127 , Issue.1 , pp. 79-183
    • Hörmander, L.1
  • 15
    • 77952508787 scopus 로고    scopus 로고
    • Commutator criteria for magnetic pseudodifferential operators
    • V. Iftimie, M. Mǎntoiu and R. Purice, Commutator criteria for magnetic pseudodifferential operators, Comm. Partial Differential Equations 35(6) (2010) 1058-1094.
    • (2010) Comm. Partial Differential Equations , vol.35 , Issue.6 , pp. 1058-1094
    • Iftimie, V.1    Mǎntoiu, M.2    Purice, R.3
  • 17
    • 78650684705 scopus 로고    scopus 로고
    • Two-parameter asymptotics in magnetic Weyl calculus
    • M. Lein, Two-parameter asymptotics in magnetic Weyl calculus, J. Math. Phys. 51 (2010) 123519.
    • (2010) J. Math. Phys. , vol.51 , pp. 123519
    • Lein, M.1
  • 19
    • 0039527297 scopus 로고    scopus 로고
    • Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding centre motion
    • M. Müller, Product rule for gauge invariant Weyl symbols and its application to the semiclassical description of guiding centre motion, J. Phys. A: Math. Gen. 32 (1999) 1035-1052.
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 1035-1052
    • Müller, M.1
  • 20
    • 2342421680 scopus 로고    scopus 로고
    • The magnetic Weyl calculus
    • DOI 10.1063/1.1668334
    • M. Mǎntoiu and R. Purice, The magnetic Weyl calculus, J. Math. Phys. 45(4) (2004) 1394-1417. (Pubitemid 38561831)
    • (2004) Journal of Mathematical Physics , vol.45 , Issue.4 , pp. 1394-1417
    • Mntoiu, M.1    Purice, R.2
  • 22
    • 0035540646 scopus 로고    scopus 로고
    • Hofstadter butterfly as quantum phase diagram
    • D. Osadchy and J. E. Avron. Hofstadter butterfly as quantum phase diagram, J. Math. Phys. 42 (2001) 5665-5671.
    • (2001) J. Math. Phys. , vol.42 , pp. 5665-5671
    • Osadchy, D.1    Avron, J.E.2
  • 23
    • 34748863542 scopus 로고    scopus 로고
    • Triviality of bloch and bloch-dirac bundles
    • G. Panati, Triviality of Bloch and Bloch-Dirac bundles, Ann. Henri Poincaŕe 8 (2007) 995-1011.
    • (2007) Ann. Henri Poincaŕe , vol.8 , pp. 995-1011
    • Panati, G.1
  • 24
    • 0344982977 scopus 로고    scopus 로고
    • Effective Dynamics for Bloch Electrons: Peierls Substitution and Beyond
    • DOI 10.1007/s00220-003-0950-1
    • G. Panati, H. Spohn and S. Teufel. Effective dynamics for Bloch electrons: Peierls substitution, Comm. Math. Phys. 242 (2003) 547-578. (Pubitemid 37480237)
    • (2003) Communications in Mathematical Physics , vol.242 , Issue.3 , pp. 547-578
    • Panati, G.1    Spohn, H.2    Teufel, S.3
  • 28
    • 3442880129 scopus 로고
    • Quantized Hall conductance in a two-dimensional periodic potential
    • D. J. Thouless, M. Kohmoto, M. P. Nightingale and M. D. Nijs, Quantized Hall conductance in a two-dimensional periodic potential, Phys. Rev. Lett. 49(6) (1982) 405-408.
    • (1982) Phys. Rev. Lett. , vol.49 , Issue.6 , pp. 405-408
    • Thouless, D.J.1    Kohmoto, M.2    Nightingale, M.P.3    Nijs, M.D.4
  • 29
    • 36049057875 scopus 로고
    • Dynamics of electrons in solids in external fields
    • J. Zak, Dynamics of electrons in solids in external fields, Phys. Rev. 168(3) (1968) 686-695.
    • (1968) Phys. Rev. , vol.168 , Issue.3 , pp. 686-695
    • Zak, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.