메뉴 건너뛰기




Volumn 3, Issue 2, 2002, Pages 347-387

Mathematical theory of quantum tunneling decay at positive temperature

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036435140     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-002-8620-y     Document Type: Article
Times cited : (1)

References (46)
  • 1
    • 33744748455 scopus 로고
    • Quantum-statistical metastability
    • A
    • [A] I. Affleck, Quantum-statistical metastability, Phys. Rev. Lett. 46(6), 388-391 (1981).
    • (1981) Phys. Rev. Lett. , vol.46 , Issue.6 , pp. 388-391
    • Affleck, I.1
  • 2
    • 0003308723 scopus 로고
    • Lectures on exponential decay of solutions of second-order elliptic equations: Bounds on eigenfunctions of N-body Schrödinger operators
    • Ag
    • [Ag] S. Agmon, Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators, Princeton Math. Notes 29, (1982).
    • (1982) Princeton Math. Notes , vol.29
    • Agmon, S.1
  • 3
    • 0003282497 scopus 로고
    • A class of analytic perturbations for one-body Schrödinger Hamiltonians
    • AC
    • [AC] J. Aguilar and J.M. Combes, A class of analytic perturbations for one-body Schrödinger Hamiltonians, Comm. Math. Phys. 22, 269 (1971).
    • (1971) Comm. Math. Phys. , vol.22 , pp. 269
    • Aguilar, J.1    Combes, J.M.2
  • 4
    • 0000027846 scopus 로고
    • Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions
    • BC
    • [BC] E. Balslev and J.M. Combes, Spectral properties of many-body Schrödinger operators with dilatation-analytic interactions, Comm. Math. Phys. 22, 280 (1971).
    • (1971) Comm. Math. Phys. , vol.22 , pp. 280
    • Balslev, E.1    Combes, J.M.2
  • 7
    • 0035537365 scopus 로고    scopus 로고
    • Resonance expansions in semiclassical propagation
    • BZ
    • [BZ] N. Burq and M. Zworski, Resonance expansions in semiclassical propagation, Comm. Math. Phys., (2001).
    • (2001) Comm. Math. Phys.
    • Burq, N.1    Zworski, M.2
  • 11
    • 0035539930 scopus 로고    scopus 로고
    • Resonance theory for Schrödinger operators
    • CS
    • [CS] O. Costin and A. Soffer, Resonance theory for Schrödinger operators, Comm. Math. Phys., (2001).
    • (2001) Comm. Math. Phys.
    • Costin, O.1    Soffer, A.2
  • 13
    • 0000665688 scopus 로고
    • Resonances defined by modified dilations
    • Cy
    • [Cy] H.L. Cycon, Resonances defined by modified dilations, Helv. Phys. Acta 58, 969 (1985).
    • (1985) Helv. Phys. Acta , vol.58 , pp. 969
    • Cycon, H.L.1
  • 14
    • 34250284345 scopus 로고
    • Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems IV
    • DHSV
    • [DHSV] P. Deift, W. Hunziker, B. Simon and E. Voek, Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems IV, Comm. Math. Phys. 64, 1 (1978).
    • (1978) Comm. Math. Phys. , vol.64 , pp. 1
    • Deift, P.1    Hunziker, W.2    Simon, B.3    Voek, E.4
  • 15
    • 0003395273 scopus 로고    scopus 로고
    • Spectral asymptotics in the semi-classical limit
    • [DiSj] Cambridge University Press
    • [DiSj] Dimassi, J. Sjoestrand, Spectral Asymptotics in the Semi-classical Limit. LMS Lecture Notes, Cambridge University Press, 1999.
    • (1999) LMS Lecture Notes
    • Dimassi1    Sjoestrand, J.2
  • 16
    • 34250911987 scopus 로고
    • Zur quantentheorie des atomkernes
    • Ga
    • [Ga] G. Gamow, Zur Quantentheorie des Atomkernes, Z. Phys. 51, 204 (1928).
    • (1928) Z. Phys. , vol.51 , pp. 204
    • Gamow, G.1
  • 17
    • 0001356315 scopus 로고
    • Space-time picture of semiclassical resonances
    • GS
    • [GS] C. Gérard and I.M. Sigal, Space-time picture of semiclassical resonances, Comm. Math. Phys. 145, 281 (1992).
    • (1992) Comm. Math. Phys. , vol.145 , pp. 281
    • Gérard, C.1    Sigal, I.M.2
  • 21
    • 0010963825 scopus 로고
    • Shape resonances in quantum mechanics
    • [HS1] Differential Equations in Mathematical Physics, ed. I. Knowles, Springer
    • [HS1] P. Hislop and I.M. Sigal, Shape Resonances in Quantum Mechanics, in Differential Equations in Mathematical Physics, ed. I. Knowles, Lecture Notes in Math. vol. 1285, Springer 1986.
    • (1986) Lecture Notes in Math. , vol.1285
    • Hislop, P.1    Sigal, I.M.2
  • 23
    • 0000371221 scopus 로고
    • Distortion analyticity and molecular resonance curves
    • Hu
    • [Hu] W. Hunziker, Distortion Analyticity and Molecular Resonance Curves, Ann. Inst. H. Poincare 45, 339 (1986).
    • (1986) Ann. Inst. H. Poincare , vol.45 , pp. 339
    • Hunziker, W.1
  • 24
    • 0000901164 scopus 로고
    • Resonances, metastable states and exponential decay laws in perturbation theory
    • H2
    • [H2] W. Hunziker, Resonances, metastable states and exponential decay laws in perturbation theory, Comm. Math. Phys. 132, 177 (1990).
    • (1990) Comm. Math. Phys. , vol.132 , pp. 177
    • Hunziker, W.1
  • 25
    • 0034397412 scopus 로고    scopus 로고
    • Quantum many-body problem
    • HuSil
    • [HuSil] W. Hunziker and I.M. Sigal, Quantum many-body problem, J. Math. Phys. 41, 3448 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 3448
    • Hunziker, W.1    Sigal, I.M.2
  • 26
    • 0034376103 scopus 로고    scopus 로고
    • Time-dependent scattering theory of N-body systems
    • HuSi2
    • [HuSi2] W. Hunziker and I.M. Sigal, Time-dependent scattering theory of N-body systems, Rev. Math. Phys., 12, 1033 (2000).
    • (2000) Rev. Math. Phys. , vol.12 , pp. 1033
    • Hunziker, W.1    Sigal, I.M.2
  • 33
    • 0039366861 scopus 로고
    • Stochastic approach to tunneling and baby universe formation
    • L2
    • [L2] A. Linde, Stochastic approach to tunneling and baby universe formation, Nucl. Phys. B372, 421 (1992).
    • (1992) Nucl. Phys. , vol.B372 , pp. 421
    • Linde, A.1
  • 34
    • 0033243768 scopus 로고    scopus 로고
    • A time-dependent theory of quantum resonances
    • MS
    • [MS] M. Merkli and I.M. Sigal, A Time-dependent theory of quantum resonances, Comm. Math. Phys., 201, 549 (1999).
    • (1999) Comm. Math. Phys. , vol.201 , pp. 549
    • Merkli, M.1    Sigal, I.M.2
  • 37
    • 0001633406 scopus 로고
    • Complex transformation method in one-body quantum systems
    • Si1
    • [Si1] I.M. Sigal, Complex transformation method in one-body quantum systems, Ann. Inst. H. Poincare 41, 103-114 (1984).
    • (1984) Ann. Inst. H. Poincare , vol.41 , pp. 103-114
    • Sigal, I.M.1
  • 38
    • 38249032755 scopus 로고
    • Sharp exponential bounds on resonance states and width of resonances
    • Si2
    • [Si2] I.M. Sigal, Sharp Exponential Bounds on Resonance States and Width of Resonances, Adv. App. Math. 9, 127-166 (1988).
    • (1988) Adv. App. Math. , vol.9 , pp. 127-166
    • Sigal, I.M.1
  • 40
    • 0000725741 scopus 로고
    • The theory of resonances for dilation analytic potentials and the foundations of time dependent perturbation theory
    • S1
    • [S1] B. Simon, The Theory of Resonances for Dilation Analytic Potentials and the Foundations of Time Dependent Perturbation Theory, Ann. Math. 97, 246 (1973).
    • (1973) Ann. Math. , vol.97 , pp. 246
    • Simon, B.1
  • 41
    • 0001273971 scopus 로고
    • The definition of molecular resonance curves by the method of exterior complex scaling
    • S2
    • [S2] B. Simon, The Definition of Molecular Resonance Curves by the Method of Exterior Complex Scaling, Phys. Letts. 71A, 211 (1979).
    • (1979) Phys. Letts. , vol.71 A , pp. 211
    • Simon, B.1
  • 42
    • 0001983592 scopus 로고
    • Semiclassical analysis of low lying eigenvalues, II. Tunneling
    • S3
    • [S3] B. Simon, Semiclassical Analysis of Low Lying Eigenvalues, II. Tunneling, Ann. Math. 120, 89 (1984).
    • (1984) Ann. Math. , vol.120 , pp. 89
    • Simon, B.1
  • 43
    • 0000107895 scopus 로고
    • Truncated Gamow functions, α decay and the exponential law
    • Sk
    • [Sk] E. Skibsted, Truncated Gamow functions, α decay and the exponential law, Comm. Math. Phys. 104, 591 (1986).
    • (1986) Comm. Math. Phys. , vol.104 , pp. 591
    • Skibsted, E.1
  • 44
    • 0032218492 scopus 로고    scopus 로고
    • Time-dependent resonance theory
    • SW1
    • [SW1] A. Soffer, M. Weinstein, Time-dependent resonance theory, GAFA, 8, 1086 (1998).
    • (1998) GAFA , vol.8 , pp. 1086
    • Soffer, A.1    Weinstein, M.2
  • 45
    • 0033460613 scopus 로고    scopus 로고
    • Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
    • SW2
    • [SW2] A. Soffer and M. Weinstein, Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations, Invent. Math., 136, 9 (1999).
    • (1999) Invent. Math. , vol.136 , pp. 9
    • Soffer, A.1    Weinstein, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.