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Prog. Theor. Phys. Vol. 59 No. 6 (1978) pp. 2107-2120

[ Full Text PDF : FREE ACCESS (884K) ]

An Approach to the Bose Description of Fermions

Shigefumi Naka

Department of Physics and Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101

(Received November 17, 1977)

Abstract:

The representatation of anti-commuting operators in the Hilbert space is discussed in the unified way. It is shown that there exists an essential difference between the system of finite degrees of freedom and the field variables. The method of obtaining anti-commuting field out of Bose field which is known as the Klein transformation is also discussed from our point of view. As applications of our formalism, the Fermion string of Ramond is studied in terms of the usual canonical formalism and sine-Gordon field in two-dimensional space-time discussed by Mandelstam is also investigated.


URL : http://ptp.ipap.jp/link?PTP/59/2107/
DOI : 10.1143/PTP.59.2107

[ Full Text PDF : FREE ACCESS (884K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 62 No. 1 (1979) pp. 278-292 :
    Canonical Approach to Spinning Particles
    Shigefumi Naka
  2. Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 331-333 :
    Harmonic Oscillator Coherent States Superposed to Represent Position and Momentum Eigenstates
    Izuru Fujiwara and Kunio Miyoshi
  3. Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
    On the Bi-Local Model and String Model
    Tetsuo Gotō, Shigefumi Naka and Kiyoshi Kamimura

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