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Volumn 207, Issue 3, 1999, Pages 557-587

Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules

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EID: 0033474972     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050737     Document Type: Article
Times cited : (60)

References (26)
  • 2
    • 34249756340 scopus 로고
    • Mathematical theory of non-relativistic matter and radiation
    • 2. Bach, V.,Fröhlich, J. and Sigal, I.M.: Mathematical theory of non-relativistic matter and radiation. Lett. Math. Phys. 34, 183-201 (1995)
    • (1995) Lett. Math. Phys. , vol.34 , pp. 183-201
    • Bach, V.1    Fröhlich, J.2    Sigal, I.M.3
  • 3
    • 0000897346 scopus 로고    scopus 로고
    • Quantum electrodynamics of confined nonrelativistic particles
    • 3. V. Bach, J. Fröhlich, and I. M. Sigal. Quantum electrodynamics of confined nonrelativistic particles. Adv. Math. 137, 205-298 (1998)
    • (1998) Adv. Math. , vol.137 , pp. 205-298
    • Bach, V.1    Fröhlich, J.2    Sigal, I.M.3
  • 4
    • 0000897346 scopus 로고    scopus 로고
    • Renormalization group analysis of spectral problems in quantum field theory
    • 4. Bach, V., Fröhlich, J. and Sigal, I.M.: Renormalization group analysis of spectral problems in quantum field theory. Adv. Math. 137, 299-395 (1998)
    • (1998) Adv. Math. , vol.137 , pp. 299-395
    • Bach, V.1    Fröhlich, J.2    Sigal, I.M.3
  • 5
    • 0033517591 scopus 로고    scopus 로고
    • Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
    • to appear
    • 5. Bach, V., Fröhlich, J. and Sigal, I.M.: Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Commun. Math. Phys. to appear 1999
    • (1999) Commun. Math. Phys.
    • Bach, V.1    Fröhlich, J.2    Sigal, I.M.3
  • 7
    • 84935421327 scopus 로고
    • A new proof of the Mourre estimate
    • 7. Froese, R. and Herbst, L: A new proof of the Mourre estimate. Duke Math. J. 49, 1075-1085 (1982)
    • (1982) Duke Math. J. , vol.49 , pp. 1075-1085
    • Froese, R.1    Herbst, L.2
  • 8
    • 84987039963 scopus 로고
    • Existence of dressed one-electron states in a class of persistent models
    • 8. Fröhlich, J.: Existence of dressed one-electron states in a class of persistent models. Fortschr. Phys., 22, 159-198 (1974)
    • (1974) Fortschr. Phys. , vol.22 , pp. 159-198
    • Fröhlich, J.1
  • 11
    • 0000146484 scopus 로고
    • Radiative decay: Nonperturbative approaches
    • 11. Hübner, M. and Spohn, H.: Radiative decay: Nonperturbative approaches. Rev. Math. Phys. 7, 363-387 (1995)
    • (1995) Rev. Math. Phys. , vol.7 , pp. 363-387
    • Hübner, M.1    Spohn, H.2
  • 12
    • 0000385769 scopus 로고
    • Spectral properties of the spin-boson Hamiltonian
    • 12. Hübner, M. and Spohn, H.: Spectral properties of the spin-boson Hamiltonian. Ann. Inst. H. Poincare 62, 289-323 (1995)
    • (1995) Ann. Inst. H. Poincare , vol.62 , pp. 289-323
    • Hübner, M.1    Spohn, H.2
  • 14
    • 0009203369 scopus 로고    scopus 로고
    • Time dependent scattering theory for many-particle systems
    • to appear
    • 14. Hunziker, W. and Sigal, I.M.: Time dependent scattering theory for many-particle systems. Rev. Math. Phys., to appear 1999
    • (1999) Rev. Math. Phys.
    • Hunziker, W.1    Sigal, I.M.2
  • 16
    • 0040304689 scopus 로고    scopus 로고
    • On a model for quantum friction I: Fermi's golden rule and dynamics at positive temperature
    • 16. Jaksic, V. and Pillet, C.A.: On a model for quantum friction I: Fermi's golden rule and dynamics at positive temperature. Commun. Math. Phys. 176, 619-644 (1996)
    • (1996) Commun. Math. Phys. , vol.176 , pp. 619-644
    • Jaksic, V.1    Pillet, C.A.2
  • 17
    • 0009209938 scopus 로고    scopus 로고
    • On a model for quantum friction II: Ergodic properties of spin-boson system
    • 17. Jaksic, V. and Pillet, C.A.: On a model for quantum friction II: Ergodic properties of spin-boson system. Commun. Math. Phys. 178, 627-651 (1996)
    • (1996) Commun. Math. Phys. , vol.178 , pp. 627-651
    • Jaksic, V.1    Pillet, C.A.2
  • 18
    • 0001181717 scopus 로고
    • Smooth operators and commutators
    • 18. Kato, T.: Smooth operators and commutators. Stud. Math. Appl. 31, 535-546 (1968)
    • (1968) Stud. Math. Appl. , vol.31 , pp. 535-546
    • Kato, T.1
  • 19
    • 0001838408 scopus 로고
    • Absolute continuity of Hamiltonian operators with repulsive potentials
    • 19. Lavine, R.: Absolute continuity of Hamiltonian operators with repulsive potentials. Proc. Am. Math. Soc. 22, 55-60 (1969)
    • (1969) Proc. Am. Math. Soc. , vol.22 , pp. 55-60
    • Lavine, R.1
  • 20
    • 33846062287 scopus 로고
    • Absence of singular continuous spectrum for certain self-adjoint operators
    • 20. Mourre, E.: Absence of singular continuous spectrum for certain self-adjoint operators. Commun. Math. Phys. 78, 391-408 (1981)
    • (1981) Commun. Math. Phys. , vol.78 , pp. 391-408
    • Mourre, E.1
  • 21
    • 34250153240 scopus 로고
    • Opérateurs conjugués et propriétés de propagation
    • 21. Mourre, E.: Opérateurs conjugués et propriétés de propagation. Commun. Math. Phys. 91, 279-300 (1983)
    • (1983) Commun. Math. Phys. , vol.91 , pp. 279-300
    • Mourre, E.1
  • 22
    • 0000841862 scopus 로고
    • Complex scaling technique in non-relativistic qed
    • 22. Okamoto, T. and Yajima, K.: Complex scaling technique in non-relativistic qed. Ann. Inst. H. Poincaré 42, 311-327 (1985)
    • (1985) Ann. Inst. H. Poincaré , vol.42 , pp. 311-327
    • Okamoto, T.1    Yajima, K.2
  • 23
    • 0000682784 scopus 로고
    • Spectral analysis of n-body Schrödinger operators
    • 23. Perry, P., Sigal, I.M. and Simon, B.: Spectral analysis of n-body Schrödinger operators. Annals Math. 114, 519-567 (1981)
    • (1981) Annals Math. , vol.114 , pp. 519-567
    • Perry, P.1    Sigal, I.M.2    Simon, B.3
  • 26
    • 0002676380 scopus 로고
    • The n-particle scattering problem: Asymptotic completeness for short-range systems
    • 26. Sigal, I.M. and Soffer, A.: The n-particle scattering problem: Asymptotic completeness for short-range systems. Ann. Math., 126, 35-108 (1987)
    • (1987) Ann. Math. , vol.126 , pp. 35-108
    • Sigal, I.M.1    Soffer, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.