2 citations · 7 across the 11 of their papers we have counts for
20 papers
Aspects of Relativity in Flat Spacetime
C. J. Papachristou
A monograph on the mathematical aspects of Special Relativity, focusing on the Lorentz group and the properties of relativistic transformations in mechanics and electrodynamics. Ma…
But, how can the atom be so stable, Dr. Maxwell?
Costas J. Papachristou
In the initial stages of its development, atomic theory had to bypass the laws of classical electromagnetism in an ad hoc manner in order to explain the stability of atoms. In quan…
On non-monochromatic plane-wave solutions of Maxwell's equations
C. J. Papachristou
In electrodynamics courses and textbooks the properties of plane electromagnetic waves in both conducting and non-conducting media are typically studied from the point of view of t…
Independence of Maxwell's equations: A Bäcklund-transformation view
C. J. Papachristou, A. N. Magoulas
It is now widely accepted that the Maxwell equations of Electrodynamics constitute a self-consistent set of four independent partial differential equations. According to a certain…
Symmetry operators and generation of symmetry transformations of partial differential equations
C. J. Papachristou
The study of symmetries of partial differential equations (PDEs) has been traditionally treated as a geometrical problem. Although geometrical methods have been proven effective wi…
Revisiting the charging-capacitor problem
C. J. Papachristou
The charging capacitor is used as a standard paradigm for illustrating the concept of the Maxwell "displacement current". A certain aspect of the problem, however, is often overloo…