摘要
The general,explicit and formally closed expression of arbitrary n-times Foldy-Wouthuysen transformations is clearly and strictly derived out.It is proved that if transformed Hamiltonian needs to be approximated to the order 1/m^(K) or mv^(2K) when to involve the orders of the operators,then to make N=[(K+1)/2]-times Foldy-Wouthuysen transformations is just enough(“[...]”means to take the part of integer).An example in non-relativistic quantum chromodynamics is given.
作者
WANG An-min
王安民(Chinese Center of Advanced Science and Technology(World Laboratory),P.O.Box 8730,Beijing 100080;Department of Modern Physics,University of Science and Technology of China,Hefei 230027)
基金
Supported by the National Natural Science Foundation of China under Grant No.69773052
the Foundation of National Education Committee and University of Science and Technology of China for the Excellent Personnel Returned to the Country。
