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

Abstract

Eigenstates of the linear combinations $a^2+\beta a^{†2}$ and $ab+\beta a^{†}{b}^{†}$ 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. {\bf 72}, 1447, 1994] for constructing eigenstates of generalized annihilation operators.

17 pages, latex, no figures. Revised version. One additional reference

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