1983
DOI: 10.1071/ph830755
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Quantum Electrodynamics in Strong Magnetic Fields. I. Electron States

Abstract: Ausl. J. Phys., 1983,36, 755-74 Dirac's equation in the presence of a static magnetic field is solved in terms of both cartesian and cylindrical coordinates, and solutions are found for three different spin operators. Choosing the spin to correspond to the parallel component Ilz of the magnetic moment operator leads to wavefunctions (a) which are symmetric between electron and positron states and (b) which are eigenfunctions of the Hamiltonian including radiative corrections. A vertex function [y:',~(k)l~ i… Show more

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Cited by 83 publications
(99 citation statements)
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“…However, the moderate vacuum dispersion present in magnetar fields (see §10) may critically depend on higher order (non-linear) contributions from the polarization tensor (e.g. Melrose and Parle 1983). If Adler's selection rules are in fact ubiquitous it has profound implications, since it means that the only polarization mode permitted to split produces only photons of the mode that cannot split.…”
Section: Photon Splittingmentioning
confidence: 99%
See 1 more Smart Citation
“…However, the moderate vacuum dispersion present in magnetar fields (see §10) may critically depend on higher order (non-linear) contributions from the polarization tensor (e.g. Melrose and Parle 1983). If Adler's selection rules are in fact ubiquitous it has profound implications, since it means that the only polarization mode permitted to split produces only photons of the mode that cannot split.…”
Section: Photon Splittingmentioning
confidence: 99%
“…Given the different spin dependence of the ST and JL eigenstates, one must use caution in making the appropriate choice when treating spin-dependent processes. and Melrose and Parle (1983) have noted that the ST eigenstates have desirable properties that the JL do not possess, such as being eigenfunctions of the Hamiltonian including radiation corrections, having symmetry between positron and electron states, and diagonalization of the self-energy shift operator. As found by Graziani (1993), the ST wavefunctions also diagonalize the Landau-Dirac operator and are the physically correct choices for spin-dependent treatments and in incorporating widths in the scattering cross section.…”
Section: Electrons In Strong Magnetic Fieldsmentioning
confidence: 99%
“…Previously, the quantum electrodynamics (QED) results of Compton scattering cross sections were Ðrst derived by Herold (1979) for electrons with ground initial and Ðnal states. Then, the QED cross sections for various initial and Ðnal electron states were calculated by Melrose & Parle (1983) and Daugherty & Harding (1986). Finally, Bussard, Alexander, & Mesaros (1986) presented the QED results for electrons with arbitrary initial and Ðnal states.…”
Section: Polarization Features Of the Outgoing Scattered Waves From Amentioning
confidence: 99%
“…[31]. The treatment of charged particles and plasmas using quantum theory has received attention in astrophysical settings, especially in strongly mag- * Electronic address: mattias.marklund@physics.umu.se † Electronic address: gert.brodin@physics.umu.se netized environments [32,33]. For example, effects of quantum field theory on the linear response of an electron gas has been analyzed [34], results concerning the spin-dependence of cyclotron decay on strong magnetic fields has been presented [35], and the propagation of quantum electrodynamical waves in strongly magnetized plasmas has been considered [36].…”
mentioning
confidence: 99%