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Volumn 4, Issue 4, 2003, Pages 713-738

Van Hove Hamiltonians - Exactly Solvable Models of the Infrared and Ultraviolet Problem

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EID: 0345059979     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-003-0145-5     Document Type: Article
Times cited : (63)

References (30)
  • 1
    • 0002428928 scopus 로고
    • A note on scattering theory in non-relativistic quantum electro-dynamics
    • [Ar]
    • [Ar] A. Arai, A note on scattering theory in non-relativistic quantum electro-dynamics, J. Phys. A: Math. Gen. 16, 49-70 (1983).
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 49-70
    • Arai, A.1
  • 2
    • 0001669618 scopus 로고    scopus 로고
    • On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
    • [AHH]
    • [AHH] A. Arai, M. Hirokawa, F. Hiroshima, On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff, J. Funct. Anal. 168, 470-497 (1999).
    • (1999) J. Funct. Anal. , vol.168 , pp. 470-497
    • Arai, A.1    Hirokawa, M.2    Hiroshima, F.3
  • 3
    • 0000897346 scopus 로고    scopus 로고
    • Quantum electrodynamics of confined non-relativistic particles
    • [BFS1]
    • [BFS1] V. Bach, J. Fröhlich, I. Sigal, Quantum electrodynamics of confined non-relativistic particles, Adv. Math. 137, 299 (1998).
    • (1998) Adv. Math. , vol.137 , pp. 299
    • Bach, V.1    Fröhlich, J.2    Sigal, I.3
  • 4
    • 0033517591 scopus 로고    scopus 로고
    • Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field
    • [BFS2]
    • [BFS2] V. Bach, J. Fröhlich, I. Sigal, Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field, Commun. Math. Phys. 207, 249 (1999).
    • (1999) Commun. Math. Phys. , vol.207 , pp. 249
    • Bach, V.1    Fröhlich, J.2    Sigal, I.3
  • 8
    • 0038353790 scopus 로고    scopus 로고
    • Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians
    • [DG1]
    • [DG1] J. Dereziński, C. Gérard, Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians, Rev. Math. Phys. 11, 383 (1999).
    • (1999) Rev. Math. Phys. , vol.11 , pp. 383
    • Dereziński, J.1    Gérard, C.2
  • 10
  • 11
    • 0344409025 scopus 로고
    • Field equations in functional form
    • [EP]
    • [EP] S. Edwards, P.E. Peierls, Field equations in functional form, Proc. Roy. Soc. Acad. 224, 24-33 (1954).
    • (1954) Proc. Roy. Soc. Acad. , vol.224 , pp. 24-33
    • Edwards, S.1    Peierls, P.E.2
  • 13
    • 0002162380 scopus 로고
    • On the infrared problem in a model of scalar electrons an massless, scalar bosons
    • [Fr]
    • [Fr] J. Fröhlich, On the infrared problem in a model of scalar electrons an massless, scalar bosons, Ann. Inst. H. Poincaré 19, 1-103 (1973).
    • (1973) Ann. Inst. H. Poincaré , vol.19 , pp. 1-103
    • Fröhlich, J.1
  • 14
    • 51249193658 scopus 로고
    • Clothed particle operators in simple models of quantum field theory
    • [GS]
    • [GS] O.W. Greenberg, S.S. Schweber, Clothed particle operators in simple models of quantum field theory, Nuovo Cimento 8, 378-406 (1958).
    • (1958) Nuovo Cimento , vol.8 , pp. 378-406
    • Greenberg, O.W.1    Schweber, S.S.2
  • 15
    • 0001254007 scopus 로고
    • Asymptotic limits in some models of quantum field theory, I
    • [HK]
    • [HK] R. Høegh-Krohn, Asymptotic limits in some models of quantum field theory, I, J. Math. Phys. 9, 2075-2079 (1968).
    • (1968) J. Math. Phys. , vol.9 , pp. 2075-2079
    • Høegh-Krohn, R.1
  • 16
    • 0039382355 scopus 로고
    • Regular perturbation and asymptootic limits of operators in quantum field theory
    • [KM1]
    • [KM1] Y. Kato, N. Mugibayashi, Regular perturbation and asymptootic limits of operators in quantum field theory, Prog. Theor. Phys. 30, 103-133 (1963).
    • (1963) Prog. Theor. Phys. , vol.30 , pp. 103-133
    • Kato, Y.1    Mugibayashi, N.2
  • 17
    • 0345703541 scopus 로고
    • Regular perturbation and asymptootic limits of operators in fixed source theory
    • [KM2]
    • [KM2] Y. Kato, N. Mugibayashi, Regular perturbation and asymptootic limits of operators in fixed source theory, Prog. Theor. Phys. 31, 300-310 (1964).
    • (1964) Prog. Theor. Phys. , vol.31 , pp. 300-310
    • Kato, Y.1    Mugibayashi, N.2
  • 18
    • 0345703543 scopus 로고
    • [Ki]
    • [Ki] T.W.B. Kibble, J. Math. Phys. 9, 15 (1968), Phys. Rev. 173, 1527 (1968); Phys. Rev. 174, 1882 (1968); Phys. Rev. 175, 1624 (1968).
    • (1968) J. Math. Phys. , vol.9 , pp. 15
    • Kibble, T.W.B.1
  • 19
    • 3042669683 scopus 로고
    • [Ki] T.W.B. Kibble, J. Math. Phys. 9, 15 (1968), Phys. Rev. 173, 1527 (1968); Phys. Rev. 174, 1882 (1968); Phys. Rev. 175, 1624 (1968).
    • (1968) Phys. Rev. , vol.173 , pp. 1527
  • 20
    • 0039712760 scopus 로고
    • [Ki] T.W.B. Kibble, J. Math. Phys. 9, 15 (1968), Phys. Rev. 173, 1527 (1968); Phys. Rev. 174, 1882 (1968); Phys. Rev. 175, 1624 (1968).
    • (1968) Phys. Rev. , vol.174 , pp. 1882
  • 21
    • 3042576763 scopus 로고
    • [Ki] T.W.B. Kibble, J. Math. Phys. 9, 15 (1968), Phys. Rev. 173, 1527 (1968); Phys. Rev. 174, 1882 (1968); Phys. Rev. 175, 1624 (1968).
    • (1968) Phys. Rev. , vol.175 , pp. 1624
  • 23
    • 0345703542 scopus 로고
    • On the non-existence of solution of field equations in quantum mechanics
    • [Mi]
    • [Mi] O. Miyatake, On the non-existence of solution of field equations in quantum mechanics, J. Inst. Polytech. Osaka City Univ. Ser. A Math. 2, 89-99 (1952).
    • (1952) J. Inst. Polytech. Osaka City Univ. Ser. A Math. , vol.2 , pp. 89-99
    • Miyatake, O.1
  • 26
    • 0344409027 scopus 로고
    • Mathematical foundations of quantum field theory
    • [Schwa], Moscow (Russian)
    • [Schwa] A.S. Schwarz, Mathematical foundations of quantum field theory, Atomizdat 1975, Moscow (Russian).
    • (1975) Atomizdat
    • Schwarz, A.S.1
  • 27
    • 0344409028 scopus 로고
    • Introduction to nonrelativistic quantum field theory
    • [Sch]
    • [Sch] S.S. Schweber, Introduction to nonrelativistic quantum field theory, Harper and Row 1962.
    • (1962) Harper and Row
    • Schweber, S.S.1
  • 28
    • 85004570525 scopus 로고
    • On the effect of the field reactions on the interaction of mesotrons and nuclear particles I
    • [To]
    • [To] S. Tomonaga, On the effect of the field reactions on the interaction of mesotrons and nuclear particles I, Progr. Theor. Phys. 1, 83-91 (1946).
    • (1946) Progr. Theor. Phys. , vol.1 , pp. 83-91
    • Tomonaga, S.1
  • 29
    • 0002035181 scopus 로고
    • Les difficultés de divergences pour un modèle particulier de champ quantifié
    • [vH]
    • [vH] L. van Hove, Les difficultés de divergences pour un modèle particulier de champ quantifié, Physica 18, 145-152 (1952).
    • (1952) Physica , vol.18 , pp. 145-152
    • Van Hove, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.