Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice
Mathematical Physics
2013-09-30 v1 math.MP
Abstract
Watson-like integrals for a d-dimensional bcc antiferromagnetic lattice I_d(\eta) and J_d(\eta) 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(\eta) and J_d(\eta). 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.
Cite
@article{arxiv.1003.1853,
title = {Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice},
author = {S. M. Radosevic and M. R. Pantic and D. V. Kapor and M. V. Pavkov-Hrvojevic and M. G. Skrinjar},
journal= {arXiv preprint arXiv:1003.1853},
year = {2013}
}
Comments
13 pages, 2 figures, Accepted for publication in Journal of Physics A: Mathematical & Theoretical 2010