A method to obtain the bosonic states in any two boson lattice system

Abstract

The total number of states of any system is produced by all the possible interactions of the particles in that system. It follows therefore that there is need to obtain the states of the system before a model can be applied to it. Recently we developed a simple method to obtain the electronic states in the two electron lattice systems in all the three dimensions. This method encompasses rules formulated from a detailed study of each dimension. In the current study, the method will be extended to bosons which do not obey the Pauli exclusion principle like the electrons so that their interactions are different from those of the latter. The need for the extension of the method to bosons is also discussed in the work.

Keywords: lattices, bosons, fermions, interactions, bosonic states

Global Journal of Pure and Applied Sciences Vol. 12(1) 2006: 129-135