Hydrogen atom in superstrong magnetic fields: Relativistic treatment

Physics – Nuclear Physics

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Scientific paper

The hydrogen atom is studied in superstrong magnetic fields characteristic of neutron star models for pulsars. In particular the Dirac Hamiltonian for an electron in an external four-vector potential Aμ = (1/2H × r, -e2/r) is diagonalized in the adiabatic approximation. A very deep ground state for the atom is found, which is related to a strong contraction of the electron orbit in the plane perpendicular to the magnetic field direction. The physical consequences of these results are also discussed.

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