Local Noncommutative Analysis

2015 ◽  
pp. 111-130
Author(s):  
Irving Segal
Keyword(s):  
Noncommutative Analysis

Methods of Noncommutative Analysis

1996 ◽  
Author(s):  
Vladimir E. Nazaikinskii ◽  
Victor E. Shatalov ◽  
Boris Yu. Sternin
Keyword(s):  
Noncommutative Analysis

Maslov Operational Calculus and Noncommutative Analysis

1992 ◽  
pp. 225-243
Author(s):  
Vladimir Nazaikinskii ◽  
Boris Sternin ◽  
Victor Shatalov
Keyword(s):  
Operational Calculus ◽  
Noncommutative Analysis

scholarly journals ELECTROMAGNETIC WAVES, GRAVITATIONAL COUPLING AND DUALITY ANALYSIS

2006 ◽  
Vol 21 (02) ◽  
pp. 151-158
Author(s):  
E. M. C. ABREU ◽  
C. PINHEIRO ◽  
S. A. DINIZ ◽  
F. C. KHANNA
Keyword(s):  
Electromagnetic Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Astrophysical Plasma ◽  
Free Wave ◽  
Electric And Magnetic Fields ◽  
Particular Solution ◽  
Noncommutative Analysis ◽  
The Magnetic Field ◽  
Gravitational Background

In this letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave equations are computed such that the electric field does not induce the magnetic field and vice versa. In a gravitational field, we analyze the Maxwell equations and the corresponding electromagnetic waves. A continuity equation is presented. A commutative and noncommutative analysis of the electromagnetic duality is described.

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