메뉴 건너뛰기




Volumn 93, Issue 1-2, 1998, Pages 359-391

Nonautonomous Hamiltonians

Author keywords

Breather; Ionization; Lifetime; Resonance

Indexed keywords


EID: 0032178139     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/b:joss.0000026738.52652.6e     Document Type: Article
Times cited : (38)

References (45)
  • 4
    • 0023306171 scopus 로고
    • Time periodic scattering of symmetric hyperbolic systems
    • J. Cooper and W. Strauss, Time periodic scattering of symmetric hyperbolic systems. J. Math. Anal. Appl. 122:444-452 (1987).
    • (1987) J. Math. Anal. Appl. , vol.122 , pp. 444-452
    • Cooper, J.1    Strauss, W.2
  • 6
    • 0000055903 scopus 로고
    • Bound states and propagation states for time dependent hamiltonians
    • V. Enss and K. Veselic, Bound states and propagation states for time dependent hamiltonians, Ann. Inst. H. Poincaré A 39:159-191 (1983).
    • (1983) Ann. Inst. H. Poincaré A , vol.39 , pp. 159-191
    • Enss, V.1    Veselic, K.2
  • 8
    • 0001356315 scopus 로고
    • Space-time picture of semiclassical resonances
    • C. Gérard and I. M. Sigal, Space-time picture of semiclassical resonances. Commun. Math. Phys. 145:281-328 (1992).
    • (1992) Commun. Math. Phys. , vol.145 , pp. 281-328
    • Gérard, C.1    Sigal, I.M.2
  • 9
    • 0347723684 scopus 로고
    • Stationary scattering theory for time-dependent Hamiltonians
    • J. S. Howland, Stationary scattering theory for time-dependent Hamiltonians, Math. Ann. 207:315-335 (1974).
    • (1974) Math. Ann. , vol.207 , pp. 315-335
    • Howland, J.S.1
  • 10
    • 0001748527 scopus 로고
    • Scattering theory for Hamiltonians periodic in time
    • J. S. Howland. Scattering theory for Hamiltonians periodic in time. Indiana Math. J. 28:471-494 (1979).
    • (1979) Indiana Math. J. , vol.28 , pp. 471-494
    • Howland, J.S.1
  • 13
    • 84972568716 scopus 로고
    • Spectral properties of Schrödinger operators and time-decay of wave functions
    • A. Jensen and T. Kato, Spectral properties of Schrödinger operators and time-decay of wave functions, Duke Math. J. 46:583-611 (1979).
    • (1979) Duke Math. J. , vol.46 , pp. 583-611
    • Jensen, A.1    Kato, T.2
  • 14
    • 0041142903 scopus 로고
    • Generalized Floquet operator for quasiperiodically driven quantum systems
    • K. Schmudgen, ed. Springer, and cited ref.
    • H. R. Jauslin and J. L. Lebowitz, Generalized Floquet operator for quasiperiodically driven quantum systems, in Mathematical Physics X, K. Schmudgen, ed. (Springer, 1991, and cited ref.).
    • (1991) Mathematical Physics X
    • Jauslin, H.R.1    Lebowitz, J.L.2
  • 15
    • 84968476215 scopus 로고
    • p′ estimates for the time dependent Schrödinger equation
    • p′ estimates for the time dependent Schrödinger equation. Bull. AMS 23 (1990).
    • (1990) Bull. AMS , vol.23
    • Journé, J.-L.1    Soffer, A.2    Sogge, C.3
  • 16
    • 0001322178 scopus 로고    scopus 로고
    • Invariant manifolds for a class of dispersive, Hamiltonian partial differential equations
    • C.-A. Pillet and C. E. Wayne, Invariant manifolds for a class of dispersive, Hamiltonian partial differential equations, J. Diff. Eq. 141:310-326 (1997).
    • (1997) J. Diff. Eq. , vol.141 , pp. 310-326
    • Pillet, C.-A.1    Wayne, C.E.2
  • 17
    • 84972554367 scopus 로고
    • A scattering theory for time dependent long range potentials
    • H. Kitada and K. Yajima, A scattering theory for time dependent long range potentials, Duke Math. J. 49:341-376 (1982).
    • (1982) Duke Math. J. , vol.49 , pp. 341-376
    • Kitada, H.1    Yajima, K.2
  • 18
    • 84960557786 scopus 로고
    • On a peculiarity of the wave-system due to the free vibrations of a nucleus in an extended medium
    • H. Lamb, on a peculiarity of the wave-system due to the free vibrations of a nucleus in an extended medium, Proc. London Math. Soc. 32:208-211 (1900).
    • (1900) Proc. London Math. Soc. , vol.32 , pp. 208-211
    • Lamb, H.1
  • 19
    • 0005477879 scopus 로고
    • Quantum mechanics: Non-relativistic theory
    • Pergamon Press, Oxford
    • L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, in Course of Theoretical Physics (Pergamon Press, Oxford, 1965), Vol. 3.
    • (1965) Course of Theoretical Physics , vol.3
    • Landau, L.D.1    Lifshitz, E.M.2
  • 20
    • 11744350512 scopus 로고
    • Macroscopic laws, microscopic dynamics, time's arrow and Boltzmann's entropy
    • J. L. Lebowitz, Macroscopic laws, microscopic dynamics, time's arrow and Boltzmann's entropy, Phys. A 194(1-4):1-27 (1993).
    • (1993) Phys. A , vol.194 , Issue.1-4 , pp. 1-27
    • Lebowitz, J.L.1
  • 22
    • 33846062287 scopus 로고
    • Absence of singular continuous spectrum for certain sell-adjoint operators
    • E. Mourre, Absence of singular continuous spectrum for certain sell-adjoint operators, Commun. Math. Phys. 78:391 (1981).
    • (1981) Commun. Math. Phys. , vol.78 , pp. 391
    • Mourre, E.1
  • 23
    • 85008270823 scopus 로고
    • Rate of decay of local energy and spectral properties of elliptic operators
    • M. Murata, Rate of decay of local energy and spectral properties of elliptic operators, Jpn. J. Math. 6:77-127 (1980).
    • (1980) Jpn. J. Math. , vol.6 , pp. 77-127
    • Murata, M.1
  • 24
    • 0040453750 scopus 로고    scopus 로고
    • Nonlinear wave equations: Constraints on periods and exponential bounds for periodic solutions
    • R. M. Pyke and I. M. Sigal, Nonlinear wave equations: Constraints on periods and exponential bounds for periodic solutions, Duke Math. J. 88 (1997).
    • (1997) Duke Math. J. , vol.88
    • Pyke, R.M.1    Sigal, I.M.2
  • 25
    • 0000682784 scopus 로고
    • Spectral analysis of N-body Schrödinger operators
    • P. Perry, I. M. Sigal, and B. Simon. Spectral analysis of N-body Schrödinger operators, Ann. Math. 114:519-567 (1981).
    • (1981) Ann. Math. , vol.114 , pp. 519-567
    • Perry, P.1    Sigal, I.M.2    Simon, B.3
  • 27
    • 0039687341 scopus 로고
    • Local decay of scattering solutions to Schrödinger's equation
    • J. Rauch, Local decay of scattering solutions to Schrödinger's equation, Comm. Math. Phys. 61:149-168 (1978).
    • (1978) Comm. Math. Phys. , vol.61 , pp. 149-168
    • Rauch, J.1
  • 31
    • 84972547211 scopus 로고
    • Decay of solutions of Schrödinger equations
    • T. Schonbek, Decay of solutions of Schrödinger equations, Duke Math. J. 46:203-213 (1979).
    • (1979) Duke Math. J. , vol.46 , pp. 203-213
    • Schonbek, T.1
  • 32
    • 21144461943 scopus 로고
    • Nonlinear wave and Schrödinger equations I. Instability of time-periodic and quasiperiodic solutions
    • I. M. Sigal, Nonlinear wave and Schrödinger equations I. Instability of time-periodic and quasiperiodic solutions, Commun. Math. Phys. 153:297 (1993).
    • (1993) Commun. Math. Phys. , vol.153 , pp. 297
    • Sigal, I.M.1
  • 35
    • 0002676380 scopus 로고
    • Asymptotic completeness for short range many body systems
    • I. M. Sigal and A. Soffer, Asymptotic completeness for short range many body systems, Ann. Math. 126:35-108 (1987).
    • (1987) Ann. Math. , vol.126 , pp. 35-108
    • Sigal, I.M.1    Soffer, A.2
  • 36
    • 34249925365 scopus 로고
    • Propagation estimates for N-body Schrödinger operators
    • E. Skibsted, Propagation estimates for N-body Schrödinger operators, Commun. Math. Phys. 142:67-98 (1991).
    • (1991) Commun. Math. Phys. , vol.142 , pp. 67-98
    • Skibsted, E.1
  • 39
    • 85045781972 scopus 로고    scopus 로고
    • Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
    • to appear
    • A. Soffer and M. I. Weinstein, Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations, to appear in Inventiones Mathematicae.
    • Inventiones Mathematicae
    • Soffer, A.1    Weinstein, M.I.2
  • 40
    • 0005424523 scopus 로고
    • Scattering of waves in a medium depending periodically on time
    • B. Vainberg. Scattering of waves in a medium depending periodically on time, Asterisque 210:327-340 (1992).
    • (1992) Asterisque , vol.210 , pp. 327-340
    • Vainberg, B.1
  • 41
  • 43
    • 84972500780 scopus 로고
    • Scattering theory for Schrödinger operators with potentials periodic in time
    • K. Yajima, Scattering theory for Schrödinger operators with potentials periodic in time, J. Math. Soc. Japan 29:729-743 (1977).
    • (1977) J. Math. Soc. Japan , vol.29 , pp. 729-743
    • Yajima, K.1
  • 44
    • 0001279775 scopus 로고
    • Resonances for the AC-Stark effect
    • K. Yajima, Resonances for the AC-Stark effect, Commun. Math. Phys. 78:331-352 (1982).
    • (1982) Commun. Math. Phys. , vol.78 , pp. 331-352
    • Yajima, K.1
  • 45
    • 0000477848 scopus 로고
    • A multichannel scattering theory for some time dependent hamiltonians, charge transfer problem
    • K. Yajima, A multichannel scattering theory for some time dependent hamiltonians, charge transfer problem, Commun. Math. Phys. 75:153-178 (1980).
    • (1980) Commun. Math. Phys. , vol.75 , pp. 153-178
    • Yajima, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.