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arXiv · 1003.1853

Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice

S. M. Radosevic·M. R. Pantic·D. V. Kapor·M. V. Pavkov-Hrvojevic·M. G. Skrinjar
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Abstract

Watson-like integrals for a d-dimensional bcc antiferromagnetic lattice I_d(η) and J_d(η) and another two similar integrals are evaluated in an exact way in terms of generalized hypergeometric functions. A simple formula connecting Id and Jd+1 is given along with the differential equations for I_d(η) and J_d(η). An application of I_d and J_d in the theory of the Heisenberg antiferromagnet is discussed, together with possible generalizations to non-integer values of d. Corresponding integrals for sc lattices are also briefly reviewed.

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S. M. Radosevic, M. R. Pantic, D. V. Kapor, M. V. Pavkov-Hrvojevic, M. G. Skrinjar. 2010-03-09. Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice. https://doi.org/10.1088/1751-8113%2F43%2F15%2F155206

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