Eigenstates of linear combinations of two boson creation and annihilation operators : an algebraic approach

Abstract

Eigenstates of the linear combinations a²+βa^†2 and ab+β a^†b^† of two-boson creation and annihilation operators are presented. The algebraic procedure given here is based on the work of Shanta et al. [Phys. Rev. Lett. 72, 1447, (1994)] for constructing eigenstates of generalized annihilation operators. Expressions for the overlaps of these states with the number states, the coherent states and the squeezed states are given in a closed form.