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Prog. Theor. Phys. Vol. 80 No. 2 (1988) pp. 277-293
Reduction and Second Quantization of Six-Dimensional Electromagnetic Fields
P. S. Negi,
H. C. Chandola and
B. S. Rajput
Department of Physics, Kumaun University, Nainital
(Received January 6, 1998)
Abstract:
The study of reduction of electromagnetic fields in six-space to the
irreducible representaion of proper, orthochronous, inhomogeneous Lorentz group
has been undertaken. Second quantized expresions for field components have
been derived by defining appropriate set of creation and annihilation
operators in the theory and the commutation relations between various field
operators have been derived. The resulting six-photon states corresponding
to different polarizations have also been identified in terms of transverse
and longitudinal polarizations in both spatial and temporal planes.
The second quantized expressions of the six-angular momentum components have
also been derived. The second quantized expressions of electromagnetic
fields have been used to study the atomic interactions with these fields.
The transition probability has been computed using weak field approximation
which has been shown to exhibit a unique temporal dependence through the
atomic dynamical variables and have important bearings on the nature of
interaction involved.
URL :
http://ptp.ipap.jp/link?PTP/80/277/
DOI : 10.1143/PTP.80.277
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