Relativistic electron transport in a quantizing magnetic field

Statistics – Computation

Scientific paper

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Electron Orbitals, Electron Scattering, Neutron Stars, Quantum Mechanics, Relativistic Electron Beams, Stellar Magnetic Fields, Transport Properties, Coulomb Potential, Dirac Equation, Gyrofrequency, Hermitian Polynomial, Landau Factor

Scientific paper

In strong magnetic fields, quantum effects must be taken into account; transport properties will be affected through the influence of the discrete energy spectrum on the density of states and collision time. Physical conditions under which quantization can have significant thermodynamic consequences are analyzed in connection with neutron star crusts. Expressions for all of the independent components of the transport tensors are derived for an arbitrary degree of degeneracy and scattering mechanism. Computations of intermediate functions which contain most of the numerical complexity are performed, and fits are provided which allow the transport coefficients to be more easily calculated. The fitting formulae yield examples of transport coefficients for selected field strengths, demonstrating the value of this approach.

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