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An upper bound for the adiabatic approximation error
Authors:WenHua?Wang  ZhiHua?Guo  Email author" target="_blank">HuaiXin?CaoEmail author
Institution:WANG WenHua;GUO ZhiHua;CAO HuaiXin;College of Mathematics and Information Science,Shaanxi Normal University;
Abstract:In this paper, we derive an upper bound for the adiabatic approximation error, which is the distance between the exact solution to a Schrödinger 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 Schrödinger equation.
Keywords:upper bound  error  adiabatic approximation
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