量子FPU模型基态的含时变分法研究

Time-Dependent Variational Approach to the Ground State of the Quantum FPU Model

通过采用Dirac含时变分原理,在结合Hartree型多粒子试探波函数和Jackiw-Kerman型单粒子波函数的基础上,研究了量子FPU模型的基态性质,导出了体系的有效哈密顿量以及粒子的期望值和量子涨落所满足的耦合方程组,得到了基态粒子的期望值、量子涨落和能量.

The ground state of the quantum FPU model is studied by virtue of Dirac＇s time-dependent variational principle together with a Hartree-type many-body trial wave function.The single-particle state is taken to be Jackiw-Kerman wave function.The effective classical Hamiltonian for the system and coupled equations for the particle＇s expectation values and quantum fluctuations are derived.The expectation values,the quantum fluctuations and the energy for the ground state are obtained.