Statistics – Computation
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...412..351g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 412, no. 1, p. 351-362.
Statistics
Computation
15
Cyclotron Resonance, Electron Scattering, Pulsars, Resonance Lines, Spectral Line Width, X Ray Stars, Atomic Energy Levels, Computational Astrophysics, Landau Factor, Perturbation Theory, Stellar Magnetic Fields, Stellar Mass Accretion
Scientific paper
The introduction of resonance line width into the QED cyclotron scattering amplitudes is considered. It is shown that the width arises from loop corrections to the electron propagator, which also bring about shifts in the Landau energy levels. A formalism is developed that allows the dressed electron propagator to be derived. It is shown that the states of Herold et al. (1982) and of Sokolov and Ternov (1968), which diagonalize the component of the magnetic moment operator parallel to the external magnetic field, are appropriate for calculation of the scattering amplitudes, whereas the states of Johnson and Lippmann (1949) are not. In addition, it is shown that the Breit-Wigner broadening approximation E tends to E - i(Gamma)/2 is consistent with the perturbation-theoretic order of the calculation, if the former basis states are chosen, but not the latter.
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