Skip to main content
Log in

First integrals of the one-dimensional quantum ising model with transverse magnetic field

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. R. J. Baxter, “Partition function of the eight-vertex lattice model”, Ann. Phys. (N. Y.),70, 193 (1972).

    Google Scholar 

  2. M. Lüscher, “Dynamical charges in the quantized renormalized massive Thirring model”, Nucl. Phys. B.117, 475 (1976).

    Google Scholar 

  3. L. A. Takhtadzhyan and L. D. Faddeev, “Quantum inverse scattering method and the Heisenberg model”, Usp. Mat. Nauk,34, 13 (1979).

    Google Scholar 

  4. Yu. A. Bashilov and S. V. Pokrovsky, “Conservation laws in the quantum version of N-positional Potts model”, Commun. Math. Phys.,76, 129 (1980).

    Google Scholar 

  5. M. Jimbo and T. Miwa, “Aspects of holonomic quantum fields — isomonodromic deformation and Ising model,” Preprint RIMS-317, Japan (1980).

  6. B. M. Gurevich and Yu. M. Suhov, “Stationary solutions of the Bogolyubov hierarchy equations in classical statistical mechanics. I”, Commun. Math. Phys.,49, 63 (1976).

    Google Scholar 

  7. V. V. Anshelevich, “First integrals and stationary states of Heisenberg quantum spin dynamics”, Teor. Mat. Fiz.,43, 107 (1980).

    Google Scholar 

  8. D. Ruelle, Statistical Mechanics, New York (1969).

  9. Ya. G. Sinai and A. Ya. Khelemskii, “Description of differentiations in algebras of the type of the algebras of local observables of spin systems”, Funktsional. Analiz i Ego Prilozhen.,6, 99 (1972).

    Google Scholar 

  10. Yu. B. Rumer, “Thermodynamics of a two-dimensional dipole lattice”, Usp. Mat. Nauk,53, 245 (1954).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.47, No.2, pp.230–242, May, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anshelevich, V.V., Gusev, E.V. First integrals of the one-dimensional quantum ising model with transverse magnetic field. Theor Math Phys 47, 426–434 (1981). https://doi.org/10.1007/BF01086396

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086396

Keywords

Navigation