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Prog. Theor. Phys. Vol. 60 No. 2 (1978) pp. 548-564

[ Full Text PDF : FREE ACCESS (1046K) ]

Coherent States of Fermi Operators and the Path Integral

Yoshio Ohnuki and Taro Kashiwa

Department of Physics, Nagoya University, Nagoya 464

(Received March 1, 1978)

Abstract:

Coherent states of Fermi operators are explicitly constructed with the aid of Grassmann numbers, and their properties are discussed in detail. A rigorous form of the path integral for Fermi fields is formulated by means of the coherent ststes. A simple example is also discussed.


URL : http://ptp.ipap.jp/link?PTP/60/548/
DOI : 10.1143/PTP.60.548

[ Full Text PDF : FREE ACCESS (1046K) ] Citation:

References:

  1. Y. Ohnuki, KEK lecture note, KEK-77-11 (1977).
  2. Hermann Grassmanns Gesammelte Methematische und Physikalische Werke Bds. I1, I2, Teubner (Leibzig) (1894).
  3. J. Schwinger, Proc. Natl. Acad. Sci. 17 (1951), 452.
  4. F. A. Berezin, The Method of Second Quantization (Academic Press, Inc., N.Y., 1966).
  5. F. A. Berezin, Theor. Math. Phys. 6 (1971), 194.
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  8. C. Montonen, Nuovo Cim. A 19 (1974), 69.
  9. R. Dashen, B. Hasslachen and A. Neveu, Phys. Rev. D 12 (1975), 2443[APS].
  10. D. E. Soper, University of Oregon Preprint (1978).

Citing Article(s) :

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  18. Progress of Theoretical Physics Vol. 83 No. 3 (1990) pp. 379-384 :
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  21. Progress of Theoretical Physics Supplement No.67 (1979) pp. 115-208 :
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