Maxwell’s equations in axiomatic quantum field theory. I. Field tensor and potentials

1977 ◽  
Vol 18 (7) ◽  
pp. 1510-1516 ◽  
Author(s):  
P. J. M. Bongaarts
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Quantum Field ◽  
Field Tensor ◽  
Axiomatic Quantum Field Theory

Maxwell and the classical wave particle dualism

2008 ◽  
Vol 366 (1871) ◽  
pp. 1771-1780 ◽  
Author(s):  
J.T Mendonça
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Theoretical Framework ◽  
Quantum Field ◽  
Classical Wave

Maxwell's equations are one of the greatest theoretical achievements in physics of all times. They have survived three successive theoretical revolutions, associated with the advent of relativity, quantum mechanics and modern quantum field theory. In particular, they provide the theoretical framework for the understanding of the classical wave particle dualism.

On the "Edge of the Wedge" Theorem

1963 ◽  
Vol 15 ◽  
pp. 125-131 ◽  
Author(s):  
Felix E. Browder
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Complex Variables ◽  
Point Of View ◽  
Several Complex Variables ◽  
Quantum Field ◽  
Complete Proof ◽  
Strategic Role ◽  
Mathematical Justification ◽  
Axiomatic Quantum Field Theory

In the mathematical justification of the formal calculations of axiomatic quantum field theory and the theory of dispersion relations, a strategic role is played by a theorem on analytic functions of several complex variables which has been given the euphonious name of the edge of the wedge theorem. The statement of the theorem seems to be due originally to N. Bogoliubov (cf. 3, Mathematical Appendix, pp. 654-673) but no complete proof which is fully satisfactory from the mathematical point of view has yet appeared in the literature.

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