SOLVING THE SCHROeDINGER AND DIRAC EQUATIONS FOR A HYDROGEN ATOM IN THE UNIVERSE'S STRONGEST MAGNETIC FIELDS WITH THE FREE COMPLEMENT METHOD
- Quantum Chemistry Research Institute, JST, CREST, Kyodai Katsura Venture Plaza 106, Goryo Oohara 1-36, Nishikyo-ku, Kyoto 615-8245 (Japan)
The free complement method for solving the Schroedinger and Dirac equations has been applied to the hydrogen atom in extremely strong magnetic fields. For very strong fields such as those observed on the surfaces of white dwarf and neutron stars, we calculate the highly accurate non-relativistic and relativistic energies of the hydrogen atom. We extended the calculations up to field strengths that exceed the strongest magnetic field ({approx}10{sup 15} G) ever observed in the universe on a magnetar surface. These are the first reported accurate quantum mechanical calculations ever to include such strong fields. Certain excited state bands in extremely strong fields showed perfect diamagnetism with an infinite number of degenerate states with the same energies as for a hydrogen atom in the absence of a field. Our method of solving the Schroedinger and Dirac equations provides an accurate theoretical methodology for studying phenomena that occur under strong magnetic fields.
- OSTI ID:
- 21474405
- Journal Information:
- Astrophysical Journal, Vol. 725, Issue 1; Other Information: DOI: 10.1088/0004-637X/725/1/528; ISSN 0004-637X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COSMOLOGY AND ASTRONOMY
DIAMAGNETISM
DIRAC EQUATION
HYDROGEN
MAGNETIC FIELDS
NEUTRON STARS
QUANTUM MECHANICS
RELATIVISTIC RANGE
UNIVERSE
WHITE DWARF STARS
DIFFERENTIAL EQUATIONS
DWARF STARS
ELEMENTS
ENERGY RANGE
EQUATIONS
FIELD EQUATIONS
MAGNETISM
MECHANICS
NONMETALS
PARTIAL DIFFERENTIAL EQUATIONS
STARS
WAVE EQUATIONS