标题： 带有相关高斯基的随机变分法求解少体问题的精确解 显示英文标题

标题： Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis

摘要： 对于涉及多种费米子和玻色子$N=2-7$-体系统的問題，给出了精確的變分解。 試驗波函數被選為相關高斯函數的組合，這些高斯函數通過積分變換從單粒子高斯波包的乘積中構建，從而使得矩陣元的完全解析計算成為可能。 試驗函數的非線性參數通過一種隨機技術進行選擇。 該方法已被證明非常高效且幾乎精確，似乎對於核物理或原子物理中出現的任何少體束態問題都是可行的。 显示英文摘要

摘要： Precise variational solutions are given for problems involving diverse fermionic and bosonic $N=2-7$-body systems. The trial wave functions are chosen to be combinations of correlated Gaussians, which are constructed from products of the single-particle Gaussian wave packets through an integral transformation, thereby facilitating fully analytical calculations of the matrix elements. The nonlinear parameters of the trial function are chosen by a stochastic technique. The method has proved very efficient, virtually exact, and it seems feasible for any few-body bound-state problems emerging in nuclear or atomic physics.