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Renormalization group study of the one dimensional quantum mechanical XY model

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  • Hu, Bambi

Abstract

The one dimensional quantum mechanical XY model is studied by the renormalization group method. To second order in the cumulant expansion, no non-trivial fixed points are found. The calculated free energy is in excellent agreement with that of the exact solution.

Suggested Citation

  • Hu, Bambi, 1979. "Renormalization group study of the one dimensional quantum mechanical XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 330-336.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:330-336
    DOI: 10.1016/0378-4371(79)90139-0
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    References listed on IDEAS

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    1. Rogiers, J. & Betts, D.D., 1976. "Application of the renormalization group method to the s = 12XY model on the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(3), pages 553-565.
    2. Dekeyser, R. & Reynaert, M., 1976. "The XY-model and the self-avoiding walk approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(1), pages 197-204.
    3. Zinn, Karl Georg, 1976. "Hochkonjunktur bei Unterbeschäftigung? Die analytischen Defizite der jüngsten Aufschwungeuphorie," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 56(8), pages 395-403.
    4. Vincent P. Houghton & Tony E. Gear, 1975. "Towards a Management Science Perspective for Recurrent Education," Interfaces, INFORMS, vol. 5(2), pages 1-10, February.
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