Semi-quantal method approach to small-amplitude nonlinear localized modes in a one-dimensional Klein-Gordon monatomic chain

摘要

By means of the semi-quantal method together with a Hartree-type many-body trial wave function for particles, we obtained the equations of motion for particle expectation values, which describe the dynamic behaviors of the quantum Klein-Gordon (K-G) chain. The single-particle wave function is chosen to be a frozen Jackiw-Kerman wave function. Subsequently, the nonlinear localized modes of the quantum one-dimensional K-G chain were obtained via the multiple-scale method.