Highly Accurate Solution for a Hydrogen Atom in a Uniform Magnetic Field

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.619· OSTI ID:286750

Kravchenko, Y P; Liberman, M A; Johansson, B ^[1]

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1. Condensed Matter Theory Group, Department of Physics, Uppsala University, Box 530, S-751 21, Uppsala (Sweden)

The highly accurate series solution for a hydrogen atom in a uniform magnetic field of arbitrary strength is obtained. It is derived in the form of a power series in two variables, the radius and the sine of the cone angle, with explicit recurrent relations for the coefficients of the power series. As an illustration, a brief list of energy values with accuracy 10{sup {minus}12} hartree for the magnetic field 0{lt}{ital B}/({ital m}{sup 2}{sub {ital e}}{ital e}{sup 3}{ital c}/{h_bar}{sup 3}){le}4000 and pictures of selected anticrossings in the chaotic region of the spectrum are presented. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286750
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANALYTICAL SOLUTION
ASTRONOMY
ASTROPHYSICS
ENERGY
ENERGY SPECTRA
HYDROGEN
MAGNETIC FIELDS
POWER SERIES
WAVE FUNCTIONS
ZEEMAN EFFECT