Relativistic corrections to the Zeeman effect in hydrogenlike atoms and positronium

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.49.192· OSTI ID:5406152

Anthony, J M; Sebastian, K J ^[1]

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1. Department of Physics and Applied Physics, University of Massachusetts at Lowell, One University Avenue, Lowell, Massachusetts 01854 (United States)

An approximately relativistic theory of bound states which ensures Poincare invariance of the atomic system to relative order ([ital v]/[ital c])[sup 2] developed by one of us [K. J. Sebastian, Phys. Rev. A 23, 2810 (1981)] is used to derive the Zeeman interaction Hamiltonian for a two-body system. This Hamiltonian is correct to order [alpha]([ital Z][alpha])[sup 2] and to all orders of [ital m][sub [ital e]]/[ital m][sub [ital N]] and includes contributions from previously neglected radiative and recoil corrections. Explicit analytic expressions for the [ital g][sub [ital J]] and [ital g][sub [ital I]] factors are given and verify the results of Grotch and Kashuba [Phys. Rev. A 7, 78 (1973)]. This interaction Hamiltonian in conjunction with the zero-field relativistic interaction correct to order [alpha]([ital Z][alpha])[sup 4] is used to analyze the Zeeman structure of the [ital n]=1, 2, and 3 levels of hydrogen and positronium. In the case of hydrogen, corrections for the Lamb shift which include the most recent radiative recoil and pure recoil corrections have also been included to yield an extremely precise analysis for hydrogen in the [vert bar][ital nFm][sub [ital F]JL][r angle] representation. The Hamiltonian, [ital g] factors, and Zeeman splittings are compared with previously obtained results and experimental results. The results of these comparisons are discussed at length.

• OSTI ID: 5406152
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 49:1; ISSN PLRAAN; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

664100* -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
664500 -- Special Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOUND STATE
ELEMENTS
HAMILTONIANS
HYDROGEN
LAMB SHIFT
LANDE FACTOR
LIE GROUPS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
NONMETALS
POINCARE GROUPS
POSITRONIUM
QUANTUM OPERATORS
RECOILS
SPECTRAL SHIFT
SYMMETRY GROUPS
TWO-BODY PROBLEM
ZEEMAN EFFECT