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Prog. Theor. Phys. Vol. 21 No. 5 (1959) pp. 696-712

[ Full Text PDF : FREE ACCESS (1086K) ]

The Electric and Magnetic Response of a Thermodynamic System

J. M. Blatt and Takeo Matsubara*

University of New South Wales, Sydney, Australia
*School of Physics, Sydney University, Sydney, Australia

(Received January 5, 1959)

Abstract:

When a system in thermal equilibrium is exposed to arbitrary but weak electromagnetic fields, currents are induced by the fields, proportional to the field strengths. The Kubo formalism allows a general discussion of this “linear response”, and the calculation has been carried out by Nakajima. However, the separation of the induced current into an “electric” and a “magnetization” current requires additional physical assumptions. This separation is carried out here. The “electric” current is then further separated into in phase and out of phase contributions. This yields an explicit formula for the complex dielectric constant as a function of the wave number and frequency of the impressed electric field. These formulas have the same generality as the formulas of equilibrium statistical mechanics.


URL : http://ptp.ipap.jp/link?PTP/21/696/
DOI : 10.1143/PTP.21.696

[ Full Text PDF : FREE ACCESS (1086K) ] Citation:

References:

  1. R. Kubo, J. Phys. Soc. Jpn. 12 (1957), 570[JPSJ].
  2. A. Becker, “Theorie der Elektrizitt, Vol. II”.
  3. S. Nakajima, Proc. Phys. Soc. A 69 (1956), 441.
  4. J. H. Van Vleck, “Electric and Magnetic Susceptibilities”, (Oxford Univ. Press, 1932).
  5. F. London, “Superfluids, Vol. I”, (John Wiley and Sons, New York, 1955).
  6. J. M. Blatt and T. Matsubara, to be published.
  7. M. J. Bukingham, Nuovo Cim. 5 (1957), 1763.
  8. W. Heitler, “Quantum Theory of Radiation”, (3rd edition).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 22 No. 3 (1959) pp. 430-436 :
    A Note on the Electromagnetic Response of Supereconductors
    Sadao Nakajima
  2. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 471-485 :
    Microscopic Description of Optical Rotation
    Toshihiko Ando
  3. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 578-580 :
    Magnetic Current of Electron Gas in Electromagnetic Wave
    Eijiro Haga

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