An upper bound for the adiabatic approximation error

作     者：WANG WenHua GUO ZhiHua CAO HuaiXin 

作者机构：College of Mathematics and Information ScienceShaanxi Normal University 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2014年第57卷第2期

页      面：218-224页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Fundation of China(Grant No.11171197) the Fundamental Research Funds for the Central Universities(Grant No.GK201301007) the Innovation Fund Project for Graduate Program of Shaanxi Normal University(Grant No.2013CXB012) 

主　　题：upper bound error adiabatic approximation 

摘      要：In this paper, we derive an upper bound for the adiabatic approximation error, which is the distance between the exact solution to a Schrodinger equation and the adiabatic approximation solution. As an application, we obtain an upper bound for 1 minus the fidelity of the exact solution and the adiabatic approximation solution to a SchrOdinger equation.