Explicit Expression of Foldy-Wouthuysen Transformation
WANG An-min
Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080,
and Department of Modern Physics, University of Science and Technology of China, Hefei 230027 (mailing address)
Explicit Expression of Foldy-Wouthuysen Transformation
WANG An-min
Chinese Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080,
and Department of Modern Physics, University of Science and Technology of China, Hefei 230027 (mailing address)
Abstract： 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/mK or mv2K 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.
1998, Vol. 15 
