A relativistic model of a charged oscillator in a magnetic field and its application

Details A relativistic model of a charged oscillator in a magnetic field and its application A relativistic model of a charged oscillator in a magnetic field and its application

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ncimb..69..177m&link_type=abstract

Nuovo Cimento B, Serie 11, vol. 69 B, June 11, 1982, p. 177-184. Research supported by the Oklahoma State University.

Physics

1

Charged Particles, Harmonic Oscillators, Relativistic Effects, Stellar Magnetic Fields, Stellar Models, White Dwarf Stars, Hamiltonian Functions, Isotropic Media, Molecular Oscillators, Particle Motion

Scientific paper

It is shown that a Dirac Hamiltonian exists which is equivalent to that of a charged isotropic harmonic oscillator in a uniform magnetic field. This Hamiltonian happens to have exact analytical solutions and is free of the infinite degeneracy associated with the motion, relativistic or nonrelativistic, of a free particle in such a field. As an application this model is used to study magnetoemission from white dwarfs.

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