Operator derivation of the gauge-invariant Proca and Lehnert equations. Elimination of the Lorenz condition

Anastasovski, P.K.; Bearden, T.E.; Ciubotariu, C.; Coffey, W.T.; Crowell, L.B.; Evans, G.J.; Evans, M.W.; Flower, R.; Labounsky, A.; Lehnert, B.

doi:10.1023/A:1003608721569

Operator derivation of the gauge-invariant Proca and Lehnert equations. Elimination of the Lorenz condition

P.K. Anastasovski
,
T.E. Bearden
(
- CTEC, Huntsville
)
,
C. Ciubotariu
(
- Stuttgart U.
)
,
W.T. Coffey
(
- Trinity Coll., Hartford
)
,
L.B. Crowell
(
- New Mexico U.
)

2000

7 pages

Published in:

Found.Phys. 30 (2000) 1123-1129

DOI:

10.1023/A:1003608721569

View in:

AMS MathSciNet

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Abstract: (Springer)

Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

particle: relativistic
gauge field theory: U(1)
invariance: gauge
symmetry: O(3)

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