Operator theory for solving the eigenvalue problem of electromagnetic field

2002 ◽  
Author(s):  
Ren Xiaoyu ◽  
Ma Jifu ◽  
Zhang Liyang ◽  
Song Wenmiao
Keyword(s):  
Electromagnetic Field ◽  
Eigenvalue Problem ◽  
Operator Theory

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

2005 ◽  
Vol 20 (28) ◽  
pp. 6391-6402
Author(s):  
JOSEPH ILYA GOLDMAN
Keyword(s):  
Electromagnetic Field ◽  
Operator Theory ◽  
Vector Potential ◽  
Time Consistency ◽  
Zero Point ◽  
Electromagnetic Theory ◽  
Field Equations ◽  
Point Energy ◽  
Background Space ◽  
Gravitational Background

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.

Eigenvectors of the Faraday tensor of a point charge in arbitrary motion

2001 ◽  
Vol 79 (1) ◽  
pp. 75-80 ◽  
Author(s):  
J L López-Bonilla ◽  
V Gaftoi ◽  
G Ovando
Keyword(s):  
Electromagnetic Field ◽  
Eigenvalue Problem ◽  
Point Charge ◽  
Faraday Tensor

We study the eigenvalue problem of the Faraday tensor associated with the Liénard–Wiechert electromagnetic field. We find all the eigenvectors (null and nonnull ones) that do not appear explicitly in the literature. PACS Nos.: 03.50De, 02.10Sp, 41.20-q

Sign in / Sign up

Export Citation Format

Share Document