Gauge Invariance of the g Tensor

The usual theory of g values cannot be applied to molecules as it is not gauge-invariant. Dirac’s wave equation is used to derive a gauge-invariant theory, and a general expression is obtained for the principal g values of a molecule in an orbitally non-degenerate state.

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Bibliographic Details
Published in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1963-01, Vol.271 (1346), p.424-434
Main Author: Stone, A. J.
Format: Article
Language:English
Subjects:
Angular momentum
Approximation
ATOMIC MODELS
Atoms
DIRAC EQUATIONS
Electrons
FIELD THEORY
GAUGE INVARIANCE
Ground state
GYROMAGNETIC RATIO
Magnetic fields
MAGNETIC MOMENTS
Molecular orbitals
MOLECULES
Orbitals
PHYSICS
QUANTUM MECHANICS
RELATIVITY THEORY
SPIN
TENSORS
VECTORS
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Description
Summary:The usual theory of g values cannot be applied to molecules as it is not gauge-invariant. Dirac’s wave equation is used to derive a gauge-invariant theory, and a general expression is obtained for the principal g values of a molecule in an orbitally non-degenerate state.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1963.0027