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OPERATOR QUANTUM ELECTROMAGNETIC THEORY I: THE INADEQUACY OF OPERATOR-VALUED VECTOR POTENTIAL IN QED AND ALTERNATIVE

JOSEPH ILYA GOLDMAN

Center for Theoretical Physics, P.O. Box 4051, Rishon Le Zion 75140, Israel

Weizmann Institute of Science, P. O. Box 26, Rehovot 76100, Israel

https://doi.org/10.1142/S0217751X05024997Cited by:0 (Source: Crossref)

Abstract

The problem of quantum description of fields is discussed in the framework of operator theory of electromagnetic field. Equations for noncommutative operators are established for a system under consideration immersed in the gravitational background space–time. Consistency of the theory is checked using Jacobi identities. The vector-potential appears in the theory only as a c-number function. It is planned to write a series of papers, of which this is the first. In the second paper, solution of the problem of vacuum zero-point energy divergency is to discuss.

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