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An upper bound for the adiabatic approximation error
Authors:WenHua?Wang,ZhiHua?Guo,HuaiXin?Cao  mailto:caohx@snnu.edu.cn"   title="  caohx@snnu.edu.cn"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation: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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