Power series expansion of the transformed Hamiltonian

Appendix 3.1. Power series expansion of the transformed Hamiltonian 

In section 3.4 the transformed Hamiltonian is expressed as a formal power series in 1 jc so that the limitations imposed by neglect of specifically quantum electrodynamic 

The orders of magnitude of the terms in the transformed Hamiltonian are then easily calculated from their explicit form. This order of magnitude scheme is readily related to the power series expansion thus (V/cfmc2 corresponds to the 1 /c2 term, etc. 

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