Second quantization of the free electromagnetic field as quantum mechanics in the loop space
R Gambini, A Trias - Physical Review D, 1980 - APS
R Gambini, A Trias
Physical Review D, 1980•APSThe quantum field theory of electromagnetism in a vacuum is formulated as quantum
mechanics in the loop space. A precise statement of the incompatibility field loop is given in
terms of generalized momentum-position uncertainty relations. The loop-dependent wave
functions of the basic states are obtained, and a physically satisfactory geometrical
interpretation is given.
mechanics in the loop space. A precise statement of the incompatibility field loop is given in
terms of generalized momentum-position uncertainty relations. The loop-dependent wave
functions of the basic states are obtained, and a physically satisfactory geometrical
interpretation is given.
Abstract
The quantum field theory of electromagnetism in a vacuum is formulated as quantum mechanics in the loop space. A precise statement of the incompatibility field loop is given in terms of generalized momentum-position uncertainty relations. The loop-dependent wave functions of the basic states are obtained, and a physically satisfactory geometrical interpretation is given.
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