Hydrogen atom in strong magnetic fields - Polynomial approximations for the magnetic-field dependence of the energy values

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Field Strength, Hydrogen Atoms, Stellar Magnetic Fields, Approximation, Astronomical Models, Atomic Energy Levels, Neutron Stars, Polynomials

Scientific paper

Using our accurate numerical results, determined for discrete values of the magnetic field strength B, a polynomial approximation is performed to describe the continuous B dependence of the energy levels of the hydrogen atom. For the 13 lowest lying m=0 states the expansion coefficients are given explicitly, which enables one to calculate their energies, and thus the wavelengths of transitions, for any value of B in the range from 4.7 1010 G to 4.7 1013 G.

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