关于量子基态的一种解法  

A METHOD FOR FINDING THE EIGENVALUE OF QUANTUM GROUND STATE

作　　者：朱栋培[1] 石名俊[1] 陈银华[1] 

机构地区：[1]中国科学技术大学近代物理系,合肥230026

出　　处：《物理学报》1992年第4期535-541,共7页Acta Physica Sinica

摘　　要：通过一个积分变换,量子系统的能量本征值问题可转化为求解非线性的Riccati方程,由它可以容易地求出基态能量及相应的波函数,讨论了此方法与通常的因子化方法的关系并以各种常见的系统作为显示此方法优越性的示范。With an integral transformation, the energy eigenvalue problem of a quantum system is converted into the solving of a non-linear Riccati equation. It is easy to find the ground state energy and the corresponding wavefunction. The relation with usual factorization method is discussed. The ground states of various quanum systems are calculated to show the advantage of this new method.

关 键 词：量子 基态 波函数 非线性 本征值 

分 类 号：O413.1[理学—理论物理]