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Volumn 9, Issue 4, 1997, Pages 489-530

Functional integral representation of a model in quantum electrodynamics

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EID: 0031285646     PISSN: 0129055X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129055X97000208     Document Type: Article
Times cited : (36)

References (38)
  • 1
    • 36749117214 scopus 로고
    • Rigorous theory of spectra and radiation for a model in quantum electrodynamics
    • A. Arai, "Rigorous theory of spectra and radiation for a model in quantum electrodynamics", J. Math. Phys. 24 (1983) 1896-1910.
    • (1983) J. Math. Phys. , vol.24 , pp. 1896-1910
    • Arai, A.1
  • 2
    • 0002428928 scopus 로고
    • A note on scattering theory in non-relativistic quantum electrodynamics
    • A. Arai, "A note on scattering theory in non-relativistic quantum electrodynamics", J. Phys. A: Math. Gen. 16 (1983) 49-70.
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 49-70
    • Arai, A.1
  • 3
    • 0000490242 scopus 로고
    • An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fiertz and a spin-boson model
    • A. Arai, "An asymptotic analysis and its application to the nonrelativistic limit of the Pauli-Fiertz and a spin-boson model", J. Math. Phys. 31 (1990) 2653-2663.
    • (1990) J. Math. Phys. , vol.31 , pp. 2653-2663
    • Arai, A.1
  • 4
    • 0040267715 scopus 로고    scopus 로고
    • Scaling limit for quantum systems of nonrelativistic particles interacting with a bose field
    • A. Arai, "Scaling limit for quantum systems of nonrelativistic particles interacting with a bose field", Hokkaido Univ. preprint series in math. 59.
    • Hokkaido Univ. Preprint Series in Math. , vol.59
    • Arai, A.1
  • 5
    • 84972547058 scopus 로고
    • Schrödinger operators with magnetic fields I. General interactions
    • J. Avron, I. Herbst and B. Simon, "Schrödinger operators with magnetic fields I. General interactions", Duke Math. J. 45 (1978) 847-883.
    • (1978) Duke Math. J. , vol.45 , pp. 847-883
    • Avron, J.1    Herbst, I.2    Simon, B.3
  • 6
    • 0001100069 scopus 로고
    • Discussion mathématique du modéle de Pauli et Fierz relatif á la catastrophe intrarouge
    • P. Blanchard, "Discussion mathématique du modéle de Pauli et Fierz relatif á la catastrophe intrarouge", Commun. Math. Phys. 15 (1969) 156-172.
    • (1969) Commun. Math. Phys. , vol.15 , pp. 156-172
    • Blanchard, P.1
  • 7
    • 0001117365 scopus 로고
    • Quantum field theoretic properties of a model of Nelson: Domain and eigenvector stability for perturbed linear operators
    • J. T. Cannon, "Quantum field theoretic properties of a model of Nelson: domain and eigenvector stability for perturbed linear operators", J. Funct. Anal. 8 (1971) 102-152.
    • (1971) J. Funct. Anal. , vol.8 , pp. 102-152
    • Cannon, J.T.1
  • 9
    • 0001404034 scopus 로고
    • Particle-boson interactions and the weak coupling limit
    • E. B. Davies, "Particle-boson interactions and the weak coupling limit", J. Math. Phys. 20 (1979), 345-351.
    • (1979) J. Math. Phys. , vol.20 , pp. 345-351
    • Davies, E.B.1
  • 10
    • 0002162380 scopus 로고
    • On the infrared problem in a model of scalar electrons and massless, scalar bosons
    • J. Fröhlich, "On the infrared problem in a model of scalar electrons and massless, scalar bosons", Ann. Inst. Henri Poincaré 16 (1973) 1-103.
    • (1973) Ann. Inst. Henri Poincaré , vol.16 , pp. 1-103
    • Fröhlich, J.1
  • 11
    • 84987039963 scopus 로고
    • Existence of dressed one electron states in a class of persistent models
    • J. Fröhlich, "Existence of dressed one electron states in a class of persistent models", Fortschritte der Physik 22 (1974) 159-198.
    • (1974) Fortschritte der Physik , vol.22 , pp. 159-198
    • Fröhlich, J.1
  • 12
    • 85033085373 scopus 로고
    • Correlation inequalities and thermodynamic limit for classical and quantum continuous systems
    • J. Fröhlich and Y. M. Park, "Correlation inequalities and thermodynamic limit for classical and quantum continuous systems", Commun. Math. Phys. 47 (1974) 271-317.
    • (1974) Commun. Math. Phys. , vol.47 , pp. 271-317
    • Fröhlich, J.1    Park, Y.M.2
  • 13
    • 0000642768 scopus 로고
    • Correlation inequalities and thermodynamic limit for classical and quantum continuous systems II. Bose-Einstein and Fermi-Dirac statistics
    • J. Fröhlich and Y. M. Park, "Correlation inequalities and thermodynamic limit for classical and quantum continuous systems II. Bose-Einstein and Fermi-Dirac statistics", J. Stat. Phys. 23 (1980) 701-753.
    • (1980) J. Stat. Phys. , vol.23 , pp. 701-753
    • Fröhlich, J.1    Park, Y.M.2
  • 14
    • 0001620162 scopus 로고
    • The P(φ)2 Euclidean quantum field theory as classical statistical mechanics
    • F. Guerra, L. Rosen and B. Simon, "The P(φ)2 Euclidean quantum field theory as classical statistical mechanics", Ann. of Math. 101 (1975) 111-267.
    • (1975) Ann. of Math. , vol.101 , pp. 111-267
    • Guerra, F.1    Rosen, L.2    Simon, B.3
  • 16
    • 0010677791 scopus 로고
    • The free Euclidean Proca and electromagnetic fields
    • ed. A. M. Arthurs, Publ. Clarendon Press
    • L. Gross, "The free Euclidean Proca and electromagnetic fields", Functional integration and its applications, ed. A. M. Arthurs, Publ. Clarendon Press, 1975.
    • (1975) Functional Integration and Its Applications
    • Gross, L.1
  • 17
    • 84972582297 scopus 로고
    • Domination of semigroups and generalization of Kato's inequality
    • H. Hess, R. Schrader and D. A. Uhlenbrock, "Domination of semigroups and generalization of Kato's inequality", Duke Math. J. 44 (1977) 893-904.
    • (1977) Duke Math. J. , vol.44 , pp. 893-904
    • Hess, H.1    Schrader, R.2    Uhlenbrock, D.A.3
  • 18
    • 21344485386 scopus 로고
    • Scaling limit of a model in quantum electrodynamics
    • F. Hiroshima, "Scaling limit of a model in quantum electrodynamics", J. Math. Phys. 34 (1993) 4478-4518.
    • (1993) J. Math. Phys. , vol.34 , pp. 4478-4518
    • Hiroshima, F.1
  • 19
    • 0030304694 scopus 로고    scopus 로고
    • Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field
    • F. Hiroshima, "Diamagnetic inequalities for systems of nonrelativistic particles with a quantized field", to appear in Rev. Math. Phys. 8 (2) (1996) 185-203.
    • (1996) Rev. Math. Phys. , vol.8 , Issue.2 , pp. 185-203
    • Hiroshima, F.1
  • 21
    • 84972537190 scopus 로고
    • Trotter's product formula for nonlinear semigroups generated by the subdifferentiables of convex functionals
    • T. Kato and K. Masuda, "Trotter's product formula for nonlinear semigroups generated by the subdifferentiables of convex functionals", J. Math. Soc. Japan 30 (1978) 169-178.
    • (1978) J. Math. Soc. Japan , vol.30 , pp. 169-178
    • Kato, T.1    Masuda, K.2
  • 22
    • 0010723240 scopus 로고
    • Singular perturbations of positivity preserving semigroups via path space techniques
    • A. Klein and L. J. Landau, "Singular perturbations of positivity preserving semigroups via path space techniques", J. Funct. Anal. 20 (1975) 44-82.
    • (1975) J. Funct. Anal. , vol.20 , pp. 44-82
    • Klein, A.1    Landau, L.J.2
  • 23
    • 84972561284 scopus 로고
    • Stochastic integrals in abstract Wiener space
    • H. H. Kuo, "Stochastic integrals in abstract Wiener space", Pacific J. Math. 41 (1972) 469-483.
    • (1972) Pacific J. Math. , vol.41 , pp. 469-483
    • Kuo, H.H.1
  • 24
    • 0000779496 scopus 로고
    • Interaction of nonrelativistic particles with a quantized scalar field
    • E. Nelson, "Interaction of nonrelativistic particles with a quantized scalar field", J. Math. Phys. 5 (1964) 1190-1197.
    • (1964) J. Math. Phys. , vol.5 , pp. 1190-1197
    • Nelson, E.1
  • 25
    • 0002479502 scopus 로고
    • Construction of quantum fields from Markoff fields
    • E. Nelson, "Construction of quantum fields from Markoff fields", J. Funct. Anal. 12 (1973) 97-112.
    • (1973) J. Funct. Anal. , vol.12 , pp. 97-112
    • Nelson, E.1
  • 26
    • 49549166117 scopus 로고
    • The free Markov field
    • E. Nelson, "The free Markov field", J. Funct. Anal. 12 (1973) 211-227.
    • (1973) J. Funct. Anal. , vol.12 , pp. 211-227
    • Nelson, E.1
  • 27
    • 0000841862 scopus 로고
    • Complex scaling technique in non-relativistic massive QED
    • T. Okamoto and K. Yajima, "Complex scaling technique in non-relativistic massive QED", Ann. Inst. Henri Poincaré 42 (1985) 311-327.
    • (1985) Ann. Inst. Henri Poincaré , vol.42 , pp. 311-327
    • Okamoto, T.1    Yajima, K.2
  • 31
    • 0001518364 scopus 로고
    • An abstract Kato's inequality for generator of positivity preserving semigroups
    • B. Simon, "An abstract Kato's inequality for generator of positivity preserving semigroups", Indians Univ. Math. J. 26 (1977) 1067-1073.
    • (1977) Indians Univ. Math. J. , vol.26 , pp. 1067-1073
    • Simon, B.1
  • 32
    • 0000941292 scopus 로고
    • A canonical decomposition for quadratic forms with applications to monotone convergence theorems
    • B. Simon, "A canonical decomposition for quadratic forms with applications to monotone convergence theorems", J. Funct. Anal. 9 (1978) 377-385.
    • (1978) J. Funct. Anal. , vol.9 , pp. 377-385
    • Simon, B.1
  • 33
    • 0002093591 scopus 로고
    • Kato's inequality and the comparison of semigroups
    • B. Simon, "Kato's inequality and the comparison of semigroups", J. Funct. Anal. 32 (1979) 97-101.
    • (1979) J. Funct. Anal. , vol.32 , pp. 97-101
    • Simon, B.1
  • 34
    • 0002596898 scopus 로고
    • Maximal and Schrödinger forms
    • B. Simon, "Maximal and Schrödinger forms", J. Operator Theory 1 (1979) 37-47.
    • (1979) J. Operator Theory , vol.1 , pp. 37-47
    • Simon, B.1
  • 36
    • 34250120232 scopus 로고
    • Quantum tunneling with dissipation and the Ising model over ℝ
    • H. Spohn and R. Dümcke, "Quantum tunneling with dissipation and the Ising model over ℝ", J. Stat. Phys. 41 (1985) 389-423.
    • (1985) J. Stat. Phys. , vol.41 , pp. 389-423
    • Spohn, H.1    Dümcke, R.2
  • 37
    • 0000008494 scopus 로고
    • Ground state(s) of the spin-boson Hamiltonian
    • H. Spohn, "Ground state(s) of the spin-boson Hamiltonian", Commun. Math. Phys. 123 (1989) 277-304.
    • (1989) Commun. Math. Phys. , vol.123 , pp. 277-304
    • Spohn, H.1
  • 38
    • 36149014233 scopus 로고
    • Some observable effects of the quantum-mechanical fluctuations of the electromagnetic field
    • T. A. Welton, "Some observable effects of the quantum-mechanical fluctuations of the electromagnetic field", Phys. Rev. 74 (1948) 1157-1167.
    • (1948) Phys. Rev. , vol.74 , pp. 1157-1167
    • Welton, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.