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Implementing Symmetries of a Free Bose field via White Noise Operators 被引量:1

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作者 ShunLongLU0
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第1期147-158,共12页 数学学报(英文版)
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  • 1Baez, J. C., Segal, I. E., Zhou, Z. F.: Introduction to Algebraic and Constructive Quantum Field Theory.Princeton Univ. Press, New Jersey (1992).
  • 2Shale, D.: Linear symmetries of Boson fields. Trans. Amer. Math. Soc., 103, 149-167 (1962).
  • 3Friedrichs, K. O.: Mathematical Aspects of Quantum Theory of Fields, Interscience, New York (1953).
  • 4Wightman, A., Garding, L.: Fields as operator-valued distributions in relativistic quantum field theory.Arkiv Fysik., 28, 129-184 (1965).
  • 5Berezin, F. A.: The Method of Second Quantization, New York: Academic Press (1966).
  • 6Kristensen, P.: Tempered distributions in infinitely many dimensions. Commun. Math. Phys., 6, 29-48(1967).
  • 7Vergne, M.: Groupes symplectique et seconde quantification. C. R. Acad. Sci. Paris, Ser. A, 285, 191-194(1997).
  • 8Paneitz, S. M., Pederson, J.. Segal, I. E., Zhou, Z. F.: Singular operators on Boson fields as forms on space of entire functions on Hilbert space. J. Funct. Anal., 100, 36-58 (1991).
  • 9Hida, H., Kuo, H. H., Potthoff, J., Streit, L.: White Noise: An Infinite Dimensional Calculus, Kluwer,Dordrecht (1993).
  • 10Obata, N.: White Noise Calculus and Fock Space, Springer, New York (1994).

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