The Luttinger-Tisza method and generalizations of this method for determining the minimum energy spin arrangement in a crystal subject to certain strong conditions are reviewed. It is shown that one can always replace the strong conditions by a set of additional conditions which in the simplest ...
A procedure using Fourier transforms in Luttinger-Tisza calculations for minimizing the interaction energy of a magnetic system is described, which is equivalent to the recently introduced procedure using permutation groups.doi:10.1080/14786437408222082...
The general solution of the Luttinger-Tisza approximation for the ground state of crystals with dipole-dipole and exchange interaction is given for crystals with two equivalent magnetic ions (or atoms) per unit cell. (It is an extension of an earlier paper where the solution of the same ...