【摘要】 蒙特卡罗哈密顿方法(MCH)是研究量子理论的数值模拟新方法,其优点是可求出超出基态的能谱和波函数.旧MCH方案需要自由粒子的信息,较难推广应用于格点规范理论.本文提出克服这个困难的新方案.首先介绍这一方案的思想,并以1维量子力学模型V(x)=μ2x2+λx4(其中μ2<0,λ>0)为例说明实现这一新方案的具体计算步骤和方法.更多还原

【Abstract】 Monte Carlo Hamiltonian method is a new algorithm for numerical simulation of quantum theories. The advantage is its ability to study spectrum and wave functions beyond the ground state. The previous approach needs information on free particles and is difficult to be used for lattice gauge theory. In this paper, we propose a new approach to MCH, which may overcome the difficulty. We describe the basic ideas, and use a 1-dimensional quantum mechanical model V(x) =μ2x2 + λx4(with μ2 < 0,λ> 0) as an example.更多还原