Relativistic electrons in a rotating spherical magnetic dipole: localized three-dimensional states

Details Relativistic electrons in a rotating spherical magnetic dipole: localized three-dimensional states Relativistic electrons in a rotating spherical magnetic dipole: localized three-dimensional states

1997-07-17

arxiv.org/abs/astro-ph/9707196v7

Int.J.Mod.Phys. D8 (1999) 251

Astronomy and Astrophysics

Astrophysics

8 pages, LaTeX, requires REVTeX, 10 PostScript figures; accepted by Int. J. Mod. Phys. D

Scientific paper

10.1142/S0218271899000201

Paralleling a previous paper, we examine single- and many-body states of relativistic electrons in an intense, rotating magnetic dipole field. Single-body orbitals are derived semiclassically and then applied to the many-body case via the Thomas-Fermi approximation. The many-body case is reminiscent of the quantum Hall state. Electrons in a realistic neutron star crust are considered with both fixed density profiles and constant Fermi energy. In the first case, applicable to young neutron star crusts, the varying magnetic field and relativistic Coriolis correction lead to a varying Fermi energy and macroscopic currents. In the second, relevant to older crusts, the electron density is redistributed by the magnetic field.

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