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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)
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| Cite this article: |
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WANG An-min 1998 Chin. Phys. Lett. 15 235-237 |
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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.
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| Keywords:
03.65.-w
11.10.-z
12.39.Hg
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Published: 01 April 1998
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