用MCH方法研究库仑屏蔽势的高角动量能谱

计算物理 ›› 2007, Vol. 24 ›› Issue (6): 749-752.

用MCH方法研究库仑屏蔽势的高角动量能谱

方奕忠¹, 李海², 黎永耀²

1. 中山大学物理科学与工程技术学院, 广东广州 510275;
2. 华南农业大学应用物理系, 广东广州 510642

收稿日期:2006-07-05 修回日期:2006-10-24 出版日期:2007-11-25 发布日期:2007-11-25
作者简介:方奕忠(1969-),男,广东开平,讲师,博士,从事量子色动力学与介观物理研究.
基金资助:
国家自然科学基金(10675174);国家自然科学基金重点项目(10235040)资助项目

Non-S State Energy Spectrum in a Screen Coulomb Potential with Monte-Carlo Hamiltonian

FANG Yizhong¹, LI Hai², LI Yongyao²

1. School of Physics & Engineering, Sun Yat-Sen University, Guangzhou 510275, China;
2. Department of Applied Physics, South China Agricultural University, Guangzhou 510642, China

Received:2006-07-05 Revised:2006-10-24 Online:2007-11-25 Published:2007-11-25

摘要/Abstract

摘要： 以库仑屏蔽势为模型,用蒙特卡罗哈密顿方法对库仑屏蔽势束缚态进行研究,并把结果和传统的数值解一维薛定谔方程的方法相比较,在基态或激发态,都得出相一致的结果.

关键词: 库仑屏蔽势, 蒙特卡罗哈密顿方法, 等效势

Abstract: We investigate non-s bound states in a screen Coulomb potential V(r)=-λ exp(-αr)/r,with different algorithms.The Schrödinger equation is solved using 4-step Runge-Kutta Method and Monte-Carlo approach.We analyzed errors of the MCH method.The energy spectrum and wave function in ground state and excited state agree well with those of 4-step Runge-Kutta method.

Key words: screen Coulomb potential, Monte Carlo Hamiltonian, effective potential

中图分类号:

O562

方奕忠, 李海, 黎永耀. 用MCH方法研究库仑屏蔽势的高角动量能谱[J]. 计算物理, 2007, 24(6): 749-752.

FANG Yizhong, LI Hai, LI Yongyao. Non-S State Energy Spectrum in a Screen Coulomb Potential with Monte-Carlo Hamiltonian[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(6): 749-752.