E/+/e/-/ spontaneous creation in inhomogeneous magnetic fields

Physics

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Dirac Equation, Electron-Positron Pairs, Field Theory (Physics), Neutron Stars, Nonuniform Magnetic Fields, Pair Production, Eigenvalues, Electron Emission, Free Electrons, Positrons, Spontaneous Emission, Stellar Models, Stellar Radiation

Scientific paper

The solution of the Dirac equation for the electron in the inhomogeneous magnetic field H(z) = H sech to the 2nd (ay) is discussed and it is shown that spontaneous electron-positron pair creation is possible, provided certain relations between the strength of the field, the inhomogeneity parameter and momenta are satisfied. The realization of this possibility in the case of a neutron star is examined.

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