International Journal of Theoretical Physics

, Volume 55, Issue 2, pp 861–866 | Cite as

The Hidden Symmetries of Spin-1 Ising Lattice Gas for Usual Quantum Hamiltonians



In this letter, the most common quantum Hamiltonian is exploited in order to compare the definite equivalences, corresponding to possible spin values in a lattice gas model, to those in a spin-1 Ising model. Our approach also requires interpolating both results in a p-state clock model, in order to find the hidden symmetries of both under consideration models.


Quantum Hamiltonian Spin-1 states Statistical quantum mechanics Hidden symmetries 


  1. 1.
    Stanely, H.E.: Introduction to phase transitions and critical phenomena. Oxford University Press, Oxford (1971)Google Scholar
  2. 2.
    Fisher, M.E.: Rep. Prog. Phys. 30, 615 (1967)ADSCrossRefGoogle Scholar
  3. 3.
    Wilson, K.G., Kogut, J.: Phys. Rep. 12, 75 (1974)ADSCrossRefGoogle Scholar
  4. 4.
    Fisher, M.E.: Rev. Mod. Phys. 46, 597 (1974)ADSCrossRefGoogle Scholar
  5. 5.
    Wilson, K.G.: Rev. Mod. Phys. 47, 773 (1975)ADSCrossRefGoogle Scholar
  6. 6.
    Wallace, D.J., Zia, R.K.P.: Rep. Prog. Phys. 41, 1 (1978)ADSCrossRefGoogle Scholar
  7. 7.
    Barber, M.N.: Phys. Rep. 29, 1 (1977)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    Wu, F.Y.: Rev. Mod. Phys. 54, 235 (1982)ADSCrossRefGoogle Scholar
  9. 9.
    Kogut, J.B.: Rev. Mod. Phys. 51, 659 (1979)ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    Kosterlitz, J.M., Thouless, D.J.: Two-dimensional physics. In: Brewer, D.F. (ed.) Progress in low temperature physics, vol. VIIB. North-Holland, Amesterdam (1978)Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of PhysicsPayame Noor University (PNU)TehranIran

Personalised recommendations