메뉴 건너뛰기




Volumn 276, Issue 1, 2002, Pages 28-39

Singular continuous Floquet operator for systems with increasing gaps

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036953840     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00277-9     Document Type: Article
Times cited : (7)

References (21)
  • 1
    • 0000055903 scopus 로고
    • Bound states and propagating states for time dependent Hamiltonians
    • V. Enss, K. Veselic, Bound states and propagating states for time dependent Hamiltonians, Ann. Inst. H. Poincaré 39 (1983) 159-191.
    • (1983) Ann. Inst. H. Poincaré , vol.39 , pp. 159-191
    • Enss, V.1    Veselic, K.2
  • 2
    • 0003188365 scopus 로고
    • Stability and instability in quantum mechanics
    • Albeverio, Blanchard (Eds.), World Scientific
    • J. Bellissard, Stability and instability in quantum mechanics, in: Albeverio, Blanchard (Eds.), Trends and Developments in the Eighties, World Scientific, 1985, pp. 1-106.
    • (1985) Trends and Developments in the Eighties , pp. 1-106
    • Bellissard, J.1
  • 3
    • 0035534944 scopus 로고    scopus 로고
    • Time quasi-periodic unbounded perturbations of the Schrödinger operators and KAM methods
    • D. Bambusi, S. Graffi, Time quasi-periodic unbounded perturbations of the Schrödinger operators and KAM methods, Comm. Math. Phys. 219 (2001) 465-480.
    • (2001) Comm. Math. Phys. , vol.219 , pp. 465-480
    • Bambusi, D.1    Graffi, S.2
  • 4
    • 0038587254 scopus 로고    scopus 로고
    • Floquet Hamiltonians with pure point spectrum
    • P. Duclos, P. Stovicek, Floquet Hamiltonians with pure point spectrum, Comm. Math. Phys. 177 (1996) 327-347.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 327-347
    • Duclos, P.1    Stovicek, P.2
  • 5
    • 0000104813 scopus 로고
    • Floquet operators with singular continuous spectrum, I
    • J. Howland, Floquet operators with singular continuous spectrum, I, Ann. Inst. H. Poincaré Phys. Théor. 49 (1989) 309-323.
    • (1989) Ann. Inst. H. Poincaré Phys. Théor. , vol.49 , pp. 309-323
    • Howland, J.1
  • 6
    • 0000104813 scopus 로고
    • Floquet operators with singular continuous spectrum, II
    • J. Howland, Floquet operators with singular continuous spectrum, II, Ann. Inst. H. Poincaré Phys. Théor. 49 (1989) 325-334.
    • (1989) Ann. Inst. H. Poincaré Phys. Théor. , vol.49 , pp. 325-334
    • Howland, J.1
  • 7
    • 0001443963 scopus 로고    scopus 로고
    • Floquet operators with singular continuous spectrum, III
    • J. Howland, Floquet operators with singular continuous spectrum, III, Ann. Inst. H. Poincaré Phys. Théor. 69 (1998) 265-273.
    • (1998) Ann. Inst. H. Poincaré Phys. Théor. , vol.69 , pp. 265-273
    • Howland, J.1
  • 8
    • 0011456360 scopus 로고
    • Absence of absolutely continuous spectrum of Floquet operators
    • A. Joye, Absence of absolutely continuous spectrum of Floquet operators, J. Statist. Phys. 75 (1994) 929-952.
    • (1994) J. Statist. Phys. , vol.75 , pp. 929-952
    • Joye, A.1
  • 9
    • 0002175191 scopus 로고
    • Floquet operators without absolutely continuous spectrum
    • G. Nenciu, Floquet operators without absolutely continuous spectrum, Ann. Inst. H. Poincaré Phys. Théor. 59 (1993) 91-97.
    • (1993) Ann. Inst. H. Poincaré Phys. Théor. , vol.59 , pp. 91-97
    • Nenciu, G.1
  • 10
    • 0001289424 scopus 로고    scopus 로고
    • Adiabatic theory: Stability of systems with increasing gaps
    • G. Nenciu, Adiabatic theory: stability of systems with increasing gaps, Ann. Inst. H. Poincaré Phys. Théor. 67 (1997) 411-424.
    • (1997) Ann. Inst. H. Poincaré Phys. Théor. , vol.67 , pp. 411-424
    • Nenciu, G.1
  • 11
    • 84990576488 scopus 로고
    • Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians
    • B. Simon, T. Wolff, Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Comm. Pure Appl. Math. 39 (1986) 75-90.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 75-90
    • Simon, B.1    Wolff, T.2
  • 12
    • 0001520106 scopus 로고
    • Spectral properties of a periodically kicked quantum Hamiltonian
    • M. Combescure, Spectral properties of a periodically kicked quantum Hamiltonian, J. Statist. Phys. 59 (1990) 679-690.
    • (1990) J. Statist. Phys. , vol.59 , pp. 679-690
    • Combescure, M.1
  • 13
    • 21844522635 scopus 로고
    • On kicked systems modulated along the Thue-Morse sequence
    • C.R. de Oliveira, On kicked systems modulated along the Thue-Morse sequence, J. Phys. A 27 (1994) 847-851.
    • (1994) J. Phys. A , vol.27 , pp. 847-851
    • de Oliveira, C.R.1
  • 14
    • 0003290561 scopus 로고
    • Recurrent versus Diffusive Quantum Behaviour for Time Dependent Hamiltonians
    • Birkhäuser
    • M. Combescure, Recurrent versus Diffusive Quantum Behaviour for Time Dependent Hamiltonians, in: Operator Theory: Advances and Applications, Vol. 57, Birkhäuser, 1992.
    • (1992) Operator Theory: Advances and Applications , vol.57
    • Combescure, M.1
  • 15
    • 0003330861 scopus 로고
    • Mathematical Scattering Theory--General Theory
    • American Mathematical Society
    • D.R. Yafaev, Mathematical Scattering Theory--General Theory, in: Translations of Mathematical Monographs, Vol. 105, American Mathematical Society, 1992.
    • (1992) Translations of Mathematical Monographs , vol.105
    • Yafaev, D.R.1
  • 16
    • 0032163923 scopus 로고    scopus 로고
    • Stability of driven systems with growing gaps: Quantum rings and Wannier ladders
    • J. Asch, P. Duclos, P. Exner, Stability of driven systems with growing gaps: Quantum rings and Wannier ladders, J. Statist. Phys. 92 (1998) 1053-1069.
    • (1998) J. Statist. Phys. , vol.92 , pp. 1053-1069
    • Asch, J.1    Duclos, P.2    Exner, P.3
  • 17
    • 0001267840 scopus 로고
    • On the theory of wave operators and scattering theory
    • M.S. Birman, M.G. Krein, On the theory of wave operators and scattering theory, Soviet Math. Dokl. 3 (1962) 740-744.
    • (1962) Soviet Math. Dokl. , vol.3 , pp. 740-744
    • Birman, M.S.1    Krein, M.G.2
  • 18
    • 0004252364 scopus 로고
    • Uniform Distribution of Sequences
    • Kuipers, Niederreiter, Wiley-Interscience
    • Kuipers, Niederreiter, Uniform Distribution of Sequences, Wiley-Interscience, 1974.
    • (1974)
  • 19
    • 0003261570 scopus 로고
    • The method of trigonometric sums in number theory
    • Springer-Verlag
    • I.M. Vinogradov, The method of trigonometric sums in number theory, in: Selected Works, Springer-Verlag, 1985.
    • (1985) Selected Works
    • Vinogradov, I.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.