Journal of Statistical Physics

, Volume 14, Issue 1, pp 49–65 | Cite as

Generalized phase space method in spin systems-spin coherent state representation

  • Yoshinori Takahashi
  • Fumiaki Shibata


A generalized phase space method for spin operators is developed. With the use of a spin coherent state representation, mapping rules from spin operators onto ac-number space are established; simple formulas to calculate the mappedc-number functions are also derived. A product theorem, which gives a way of mapping a product of operators, is obtained in an intuitive form. This can be advantageously used to transform a Liouville equation into ac-number equation. As an illustrative example, the method is applied to the Heisenberg model of a magnet.

Key words

Generalized phase space mapping rules product theorem quasi-probability function 


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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Yoshinori Takahashi
    • 1
  • Fumiaki Shibata
    • 1
  1. 1.Department of PhysicsUniversity of TokyoTokyoJapan

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