Electron self-energy in a homogeneous magnetic field

Mathematics – Probability

Scientific paper

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Specific Calculations, Relativistic Wave Equations, Neutron Stars

Scientific paper

A relativistic calculation of the electron self-energy in a strong homogeneous magnetic field is presented, and the final expressions are calculated numerically for the Landau levels N=0,1,2,3 and both spin projections (σ=+/-1). For a given N>0 the energy of the spin-up state (σ=+1) increases monotonically, but the spin-down (σ=-1) energy is negative for small fields, shows a minimum, and then increases for large fields; a crossing of levels appears for N>0. The total decay rates for these states are also obtained, as well as the spin-flip transition probability for (N=1, σ=+1)-->(N=1, σ=-1). It turns out that this transition rate is extremely small compared to the usual cyclotron emission rates.

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