Evaluation of Watson-like Integrals for Hyper bcc Antiferromagnetic Lattice

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.

13 pages, 2 figures, Accepted for publication in Journal of Physics A: Mathematical & Theoretical 2010

References in corpus (2)

• Many-body Green's function theory of Heisenberg films
• A study of the quantum classical crossover in the spin dynamics of the 2D S=5/2 antiferromagnet Rb2MnF4: neutron scattering, computer simulations, and analytic theories

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