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

Physics – Quantum Physics

Scientific paper

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

Scientific paper

10.1142/S021773239600237X

Eigenstates of the linear combinations $a^2+\beta a^{\dagger2}$ and $ab+\beta
a^\dagger b^\dagger$ 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.

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