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Transfer-matrices of coherent state path integrals with the h4- and su(2)-algebra for many-body systems with contact interactions

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  • Mieck, B.

Abstract

Spatial transfer-matrices are constructed for 1D su(2)-spin and h4-bosonic many-body systems in external magnetic fields B(x) or potentials V(x). In the case of the spin system, generalized coherent states are applied to derive a path integral which can be reordered according to the spatial position of the generalized coherent state fields. The spatial generator of the transfer-matrix for the spin system consists of a so(3) Laplace operator and a term with the external magnetic field B(x). It is also demonstrated that generalized differential transfer-matrix equations can be obtained for disordered many-body systems if the ensemble-averaged coherent state path integral of the random potentials contains only contact interactions and nearest-neighbour couplings from the kinetic energy.

Suggested Citation

  • Mieck, B., 2004. "Transfer-matrices of coherent state path integrals with the h4- and su(2)-algebra for many-body systems with contact interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 181-200.
    • Handle: RePEc:eee:phsmap:v:341:y:2004:i:c:p:181-200
    DOI: 10.1016/j.physa.2004.05.038
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