山西大学学报（自然科学版）2012，Vol.35Issue(2)：271-275,5.
基于量子力学的相互作用绘景构造非线性哈密顿系统的数值计算方法
Construction of Numerical Methods of Nonlinear Hamiltonian Systems Based on Interaction Picture of Quantum Mechanics
摘要
Abstract
Numerical methods of nonlinear Hamiltonian systems are constructed in the interaction picture of quantum mechanics. Firstly the original system is transformed to interaction picture of quantum mechanics. This reduces the problem to a system of ordinary differential equations in time. Subsequently,the modified system is integrated in time and then transformed back to the initial representation of the state vector. Varies discrete schemes can be obtained based on different integration methods. The methods in this paper can also be used to solve multi-component Bose-Einstein condensate problem.关键词
偏微分方程/非线性哈密顿系统/Bose-Einstein凝聚体Key words
partial differential equation/nonlinear Hamiltonian system/Bose-Einstein condensation分类
数理科学引用本文复制引用
张素英..基于量子力学的相互作用绘景构造非线性哈密顿系统的数值计算方法[J].山西大学学报（自然科学版）,2012,35(2):271-275,5.基金项目
国家自然科学基金(10972125) （10972125）
高等学校博士学科点专项科研基金(20111401110004) （20111401110004）
山西省自然科学基金(2010011001-2) （2010011001-2）
山西省留学回国人员科研基金 （）
