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

B. Mieck

Physica A: Statistical Mechanics and its Applications, 2004, vol. 341, issue C, 181-200

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.

Keywords: Coherent states; Path integrals; Spin system (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:341:y:2004:i:c:p:181-200

DOI: 10.1016/j.physa.2004.05.038

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