메뉴 건너뛰기




Volumn 205, Issue 1, 2003, Pages 180-205

Resonance expansions of propagators in the presence of potential barriers

Author keywords

Long time behavior of solutions; Quantum resonances; Semi classical expansions

Indexed keywords


EID: 0346899470     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-1236(02)00112-X     Document Type: Article
Times cited : (35)

References (29)
  • 1
    • 85030927159 scopus 로고    scopus 로고
    • Meromorphic continuation of the spectral shift function
    • To appear
    • V. Bruneau, V. Petkov, Meromorphic continuation of the spectral shift function, Duke Math. J., to appear.
    • Duke Math. J.
    • Bruneau, V.1    Petkov, V.2
  • 2
    • 0036678303 scopus 로고    scopus 로고
    • Lower bounds for shape resonance width of long range Schrödinger operators
    • N. Burq, Lower bounds for shape resonance width of long range Schrödinger operators, Amer. J. Math. 124 (2002) 677-735.
    • (2002) Amer. J. Math. , vol.124 , pp. 677-735
    • Burq, N.1
  • 3
    • 0035537365 scopus 로고    scopus 로고
    • Resonance expansions in semi-classical propagation
    • N. Burq, M. Zworski, Resonance expansions in semi-classical propagation, Comm. Math. Phys. 232 (2001) 1-12.
    • (2001) Comm. Math. Phys. , vol.232 , pp. 1-12
    • Burq, N.1    Zworski, M.2
  • 4
    • 0034349028 scopus 로고    scopus 로고
    • Resonance wave expansions: Two hyperbolic examples
    • T. Christiansen, M. Zworski, Resonance wave expansions: two hyperbolic examples, Comm. Math. Phys. 212 (2000) 323-336.
    • (2000) Comm. Math. Phys. , vol.212 , pp. 323-336
    • Christiansen, T.1    Zworski, M.2
  • 6
    • 38249022102 scopus 로고
    • Semiclassical asymptotics for the spectral function of long range Schrödinger operators
    • C. Gérard, A. Martinez, Semiclassical asymptotics for the spectral function of long range Schrödinger operators, J. Funct. Anal. 84 (1989) 226-254.
    • (1989) J. Funct. Anal. , vol.84 , pp. 226-254
    • Gérard, C.1    Martinez, A.2
  • 7
    • 0001356315 scopus 로고
    • Space-time picture of semiclassical resonances
    • C. Gérard, I.M. Sigal, Space-time picture of semiclassical resonances, Comm. Math. Phys. 145 (1992) 281-328.
    • (1992) Comm. Math. Phys. , vol.145 , pp. 281-328
    • Gérard, C.1    Sigal, I.M.2
  • 9
    • 0000371221 scopus 로고
    • Distortion analyticity and molecular resonance curves
    • W. Hunziker, Distortion analyticity and molecular resonance curves, Ann. Inst. H. Poincaré Phys. Théor. 45 (1986) 339-358.
    • (1986) Ann. Inst. H. Poincaré Phys. Théor. , vol.45 , pp. 339-358
    • Hunziker, W.1
  • 12
    • 0346870347 scopus 로고    scopus 로고
    • Resonance free domains for non-analytic potentials
    • preprint
    • A. Martinez, Resonance free domains for non-analytic potentials, preprint, 2001.
    • (2001)
    • Martinez, A.1
  • 13
    • 0033243768 scopus 로고    scopus 로고
    • A time-dependent theory of quantum resonances
    • M. Merkli, I.M. Sigal, A time-dependent theory of quantum resonances, Comm. Math. Phys. 201 (1999) 549-576.
    • (1999) Comm. Math. Phys. , vol.201 , pp. 549-576
    • Merkli, M.1    Sigal, I.M.2
  • 14
    • 0000533128 scopus 로고    scopus 로고
    • Agmon-type exponential decay estimates for pseudodifferential operators
    • S. Nakamura, Agmon-type exponential decay estimates for pseudodifferential operators, J. Math. Sci. Univ. Tokyo 5 (1998) 693-712.
    • (1998) J. Math. Sci. Univ. Tokyo , vol.5 , pp. 693-712
    • Nakamura, S.1
  • 15
    • 0033235583 scopus 로고    scopus 로고
    • Spectral shift function for trapping energies in the semi-classical limit
    • S. Nakamura, Spectral shift function for trapping energies in the semi-classical limit, Comm. Math. Phys. 208 (1999) 173-193.
    • (1999) Comm. Math. Phys. , vol.208 , pp. 173-193
    • Nakamura, S.1
  • 16
    • 0001040712 scopus 로고    scopus 로고
    • Extraction of spectral information from short-time signal using filter diagonalization: Recent developments and applications to semi-classical reaction dynamics and nuclear magnetic resonance signals
    • J.W. Pang, T. Dieckmann, J. Feigon, D. Neuhauser, Extraction of spectral information from short-time signal using filter diagonalization: recent developments and applications to semi-classical reaction dynamics and nuclear magnetic resonance signals, J. Chem. Phys. 108 (20) (1998) 8360-8368.
    • (1998) J. Chem. Phys. , vol.108 , Issue.20 , pp. 8360-8368
    • Pang, J.W.1    Dieckmann, T.2    Feigon, J.3    Neuhauser, D.4
  • 17
    • 0035537073 scopus 로고    scopus 로고
    • Semi-classical estimates on the scattering determinant
    • V. Petkov, M. Zworski, Semi-classical estimates on the scattering determinant, Ann. H. Poincare 2 (2001) 675-711.
    • (2001) Ann. H. Poincare , vol.2 , pp. 675-711
    • Petkov, V.1    Zworski, M.2
  • 18
    • 0001047998 scopus 로고    scopus 로고
    • A trace formula and review of some estimates for resonances
    • Lucca, 1996, NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Kluwer Acad. Publ., Dordrecht
    • J. Sjöstrand, A trace formula and review of some estimates for resonances, in: Microlocal Analysis and Spectral Theory, Lucca, 1996, NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Vol. 490, Kluwer Acad. Publ., Dordrecht, 1997, pp. 377-437.
    • (1997) Microlocal Analysis and Spectral Theory , vol.490 , pp. 377-437
    • Sjöstrand, J.1
  • 19
    • 84968505435 scopus 로고
    • Complex scaling and the distribution of scattering poles
    • J. Sjöstrand, M. Zworski, Complex scaling and the distribution of scattering poles, J. Amer. Math. Soc. 4 (4) (1991) 729-769.
    • (1991) J. Amer. Math. Soc. , vol.4 , Issue.4 , pp. 729-769
    • Sjöstrand, J.1    Zworski, M.2
  • 20
    • 0001031066 scopus 로고
    • Lower bounds on the number of scattering poles, II
    • J. Sjöstrand, M. Zworski, Lower bounds on the number of scattering poles, II, J. Funct. Anal. (1994).
    • (1994) J. Funct. Anal.
    • Sjöstrand, J.1    Zworski, M.2
  • 21
    • 0033460613 scopus 로고    scopus 로고
    • Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
    • A. Soffer, M. Weinstein, Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations, Invent. Math. 136 (1999) 9-74.
    • (1999) Invent. Math. , vol.136 , pp. 9-74
    • Soffer, A.1    Weinstein, M.2
  • 22
    • 0035532731 scopus 로고    scopus 로고
    • Resonance expansions and Rayleigh waves
    • P. Stefanov, Resonance expansions and Rayleigh waves, Math. Res. Lett. 8 (2001) 105-124.
    • (2001) Math. Res. Lett. , vol.8 , pp. 105-124
    • Stefanov, P.1
  • 23
    • 84887428024 scopus 로고    scopus 로고
    • Sharp upper bounds on the number of resonances near the real axis for trapping systems
    • To appear
    • P. Stefanov, Sharp upper bounds on the number of resonances near the real axis for trapping systems, Amer. J. Math., to appear.
    • Amer. J. Math.
    • Stefanov, P.1
  • 24
    • 0032219326 scopus 로고    scopus 로고
    • From quasimodes to resonances
    • S.H. Tang, M. Zworski, From quasimodes to resonances, Math. Res. Lett. 5 (1998) 261-272.
    • (1998) Math. Res. Lett. , vol.5 , pp. 261-272
    • Tang, S.H.1    Zworski, M.2
  • 25
    • 0034375059 scopus 로고    scopus 로고
    • Resonance expansions of scattered waves
    • S.H. Tang, M. Zworski, Resonance expansions of scattered waves, Comm. Pure Appl. Math. 53 (2000) 1305-1334.
    • (2000) Comm. Pure Appl. Math. , vol.53 , pp. 1305-1334
    • Tang, S.H.1    Zworski, M.2
  • 26
    • 0036221809 scopus 로고    scopus 로고
    • Stable directions for excited states of non-linear Schrödinger equations
    • T.P. Tsai, H.T. Yau, Stable directions for excited states of non-linear Schrödinger equations, Comm. Pure Appl. Math. 55 (2002) 153-216.
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 153-216
    • Tsai, T.P.1    Yau, H.T.2
  • 27
    • 0001279775 scopus 로고
    • Resonances for the AC-Stark effect
    • K. Yajima, Resonances for the AC-Stark effect, Comm. Math. Phys. 87 (1982) 221-352.
    • (1982) Comm. Math. Phys. , vol.87 , pp. 221-352
    • Yajima, K.1
  • 28
    • 0034349282 scopus 로고    scopus 로고
    • Semiclassical estimates in asymptotically Euclidean scattering
    • A. Vasy, M. Zworski, Semiclassical estimates in asymptotically Euclidean scattering, Comm. Math. Phys. 212 (2000) 205-217.
    • (2000) Comm. Math. Phys. , vol.212 , pp. 205-217
    • Vasy, A.1    Zworski, M.2
  • 29
    • 0001518892 scopus 로고    scopus 로고
    • Resonances in physics and geometry
    • M. Zworski, Resonances in physics and geometry, Notices Amer. Math. Soc. 46 (1999) 319-328.
    • (1999) Notices Amer. Math. Soc. , vol.46 , pp. 319-328
    • Zworski, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.