Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...320..714b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 320, Sept. 15, 1987, p. 714-725.
Astronomy and Astrophysics
Astrophysics
10
Electron Spectroscopy, Magnetic Fields, Quantum Electrodynamics, Synchrotron Radiation, Electron Energy, Emissivity, Energy Conservation, Pair Production, Power Spectra, Transition Probabilities
Scientific paper
Synchrotron spectra are calculated from quantum electrodynamic transition rates for thermal and power-law electron distributions. It is shown that quantum effects appear in thermal spectra when the photon energy is greater than the electron temperature, and in power-law spectra when the electron energy in units of the electron rest mass times the magnetic field strength in units of the critical field strength is of order unity. These spectra are compared with spectra calculated from the ultrarelativistic approximation for synchrotron emission. It is found that the approximation for the power-law spectra is good, and the approximation for thermal spectra produces the shape of the spectrum accurately but fails to give the correct normalization. Single photon pair creation masks the quantum effects for power-law distributions, so only modifications to thermal spectra are important for gamma-ray bursts.
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