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Permutation Group Approach To The One-Dimensional Xxx Heisenberg Open Spin-1/2 Chains

Author

Listed:
  • FENG PAN

    (Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China;
    Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA)

  • LIAN-RONG DAI

    (Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China)

  • DAN ZHANG

    (Department of Physics, Liaoning Normal University, Dalian 116029, P. R. China)

  • J. P. DRAAYER

    (Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, USA)

Abstract

Permutation group approach to the one-dimensional XXX Heisenberg open spin-1/2 chain with nearest neighbor interaction is proposed, which is formulated not only for half-filling excitations, but also for general case. Regularity of energy matrices and the corresponding wavefunctions are made up by using an induction method, which makes it possible to study the eigenvalue problem systematically. A Mathematica package for generating the energy matrices is implemented according to this procedure.

Suggested Citation

  • Feng Pan & Lian-Rong Dai & Dan Zhang & J. P. Draayer, 2004. "Permutation Group Approach To The One-Dimensional Xxx Heisenberg Open Spin-1/2 Chains," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 247-265.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:02:n:s0129183104005668
    DOI: 10.1142/S0129183104005668
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