Energy values and sum rules for hydrogenic atoms in magnetic fields of arbitrary strength using numerical wave functions - Comparison with variational results

Details Energy values and sum rules for hydrogenic atoms in magnetic fields of arbitrary strength using numerical wave functions - Comparison with variational results Energy values and sum rules for hydrogenic atoms in magnetic fields of arbitrary strength using numerical wave functions - Comparison with variational results

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...262..407w&link_type=abstract

Astrophysical Journal, Part 1, vol. 262, Nov. 1, 1982, p. 407-411. Research supported by the Deutsche Forschungsgemeinschaft.

Astronomy and Astrophysics

Astrophysics

15

Atomic Energy Levels, Hydrogen Atoms, Magnetic Fields, Quantum Mechanics, Transition Probabilities, Wave Functions, Coulomb Potential, Hamiltonian Functions, Integral Equations

Scientific paper

Energies and sum rules for magnetic fields in the whole range of the high-field regime are calculated, using numerical wave functions for the hydrogenic states. The numerical method involves expanding the wave functions in terms of spherical harmonics for magnetic fields not greater than ten billion gauss, and in terms of Landau states for magnetic fields greater than ten billion gauss. The expansion functions are computed using a Froese-Fischer HF code adapted to the requirements of the magnetic field case. A comparison is made of the binding energies of the two lowest states of the hydrogen atom in various magnetic fields ranging from zero up to five trillion gauss. The values of the sum rules of the sigma -1 and sigma +1 states of the H atom at various values of the magnetic field strength are also compared.

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