Transition probabilities and some expectation values for the hydrogen atom in intense magnetic fields

Journal Article · Wed Nov 15 04:00:00 EST 1978 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/156617· OSTI ID:6502390

Wadehra, J M

We present here a calculation of the binding energies of a hydrogen atom in magnetic fields of the order of 10/sup 10/-10/sup 12/ gauss that are presumed to exist on the surfaces of neutron stars. The trial wave functions that we use are extensions of the products of Landau functions and hydrogenic functions. We also employ these improved wave functions to calculate transiton probabilities and oscillator strengths and the ground-state expectation values of r/sup n/ for n=-1, 1, and 2 for various values of the magnetic fields. All the matrix elements involved are estimated variationally using an extremum principle.

• Research Organization: Theoretical Division, Group T-4, Los Alamos Scientific Laboratory
• OSTI ID: 6502390
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 226:1; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
640302 -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
CRYOGENIC FLUIDS
ELEMENTS
ENERGY
ENERGY-LEVEL TRANSITIONS
EXPECTATION VALUE
FLUIDS
FUNCTIONS
HYDROGEN
MAGNETIC FIELDS
MECHANICS
NEUTRON STARS
NONMETALS
OSCILLATOR STRENGTHS
QUANTUM MECHANICS
STARS
WAVE FUNCTIONS