Abstract

A concise approach for the calculations of the ground-state energy in strongly bound exciton-phonon systems is presented in this paper. The coherent state with two-phonon correlation is introduced to represent the phonon wave function, which is related to the wave function of the relative motion \ensuremath{\varphi}(r). A nonlinear integro-differential equation satisfied by \ensuremath{\varphi}(r) is derived. Numerical calculations are carried out for several strongly and intermediate-bound polar materials and the ground-state energy of the corresponding excitons is found to be close to the experimental one. \textcopyright{} 1996 The American Physical Society.

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