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Volumn 40, Issue 3, 1999, Pages 1215-1236

Weak coupling limit and removing an ultraviolet cutoff for a Hamiltonian of particles interacting with a quantized scalar field

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EID: 0033241358     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532796     Document Type: Article
Times cited : (15)

References (14)
  • 1
    • 0001377546 scopus 로고    scopus 로고
    • Weak coupling limit with a removal of an ultraviolet cut-off for a Hamiltonian of particles interacting with a massive scalar field
    • F. Hiroshima, "Weak coupling limit with a removal of an ultraviolet cut-off for a Hamiltonian of particles interacting with a massive scalar field," Inf. Dimen. Anal. Quantum Prob. Relat. Top. 1, 407-423 (1998).
    • (1998) Inf. Dimen. Anal. Quantum Prob. Relat. Top. , vol.1 , pp. 407-423
    • Hiroshima, F.1
  • 2
    • 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, 1190-1197 (1964).
    • (1964) J. Math. Phys. , vol.5 , pp. 1190-1197
    • Nelson, E.1
  • 3
    • 21344485386 scopus 로고
    • Scaling limit of a model of quantum electrodynamics
    • F. Hiroshima, "Scaling limit of a model of quantum electrodynamics," J. Math. Phys. 34, 4478-4518 (1993).
    • (1993) J. Math. Phys. , vol.34 , pp. 4478-4518
    • Hiroshima, F.1
  • 4
    • 0031476425 scopus 로고    scopus 로고
    • Scaling limit of a model of quantum electrodynamics with many nonrelativistic particles
    • F. Hiroshima, "Scaling limit of a model of quantum electrodynamics with many nonrelativistic particles," Rev. Math. Phys. 9, 201-225 (1997).
    • (1997) Rev. Math. Phys. , vol.9 , pp. 201-225
    • Hiroshima, F.1
  • 5
    • 0009298967 scopus 로고    scopus 로고
    • Asymptotic behaviors of an interaction Hamiltonian
    • F. Hiroshima, "Asymptotic behaviors of an interaction Hamiltonian," Nonlinear Anal. Theory Meth. Appl. 30, 4863-4874 (1997).
    • (1997) Nonlinear Anal. Theory Meth. Appl. , vol.30 , pp. 4863-4874
    • Hiroshima, F.1
  • 7
    • 0001404034 scopus 로고
    • Particle-boson interaction and the weak coupling limit
    • E. B. Davies, "Particle-boson interaction and the weak coupling limit," J. Math. Phys. 20, 345-351 (1979).
    • (1979) J. Math. Phys. , vol.20 , pp. 345-351
    • Davies, E.B.1
  • 8
    • 0031285646 scopus 로고    scopus 로고
    • Functional integral representation of a model in quantum electrodynamics
    • F. Hiroshima, "Functional integral representation of a model in quantum electrodynamics," Rev. Math. Phys. 9, 489-530 (1997).
    • (1997) Rev. Math. Phys. , vol.9 , pp. 489-530
    • Hiroshima, F.1
  • 11
    • 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," Rev. Math. Phys. 8, 185-203 (1996).
    • (1996) Rev. Math. Phys. , vol.8 , pp. 185-203
    • Hiroshima, F.1
  • 12
    • 84972537190 scopus 로고
    • Trotter's product formula for nonlinear semigroups generated by the subdifferentiables of convex functional
    • T. Kato and K. Masuda, "Trotter's product formula for nonlinear semigroups generated by the subdifferentiables of convex functional," J. Math. Soc. Jpn. 30, 169-178 (1978).
    • (1978) J. Math. Soc. Jpn. , vol.30 , pp. 169-178
    • Kato, T.1    Masuda, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.