23 citations · 48 across the 7 of their papers we have counts for
7 papers
On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics
Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen
A general approach is presented to describing nonlinear classical Maxwell electrodynamics with conformal symmetry. We introduce generalized nonlinear constitutive equations, expres…
Conformal symmetry transformations and nonlinear Maxwell equations
Gerald A. Goldin, Vladimir M. Shtelen, Steven Duplij
We make use of the conformal compactification of Minkowski spacetime to explore a way of describing general, nonlinear Maxwell fields with conformal symmetry. We distingui…
Conformal inversion and Maxwell field invariants in four- and six-dimensional spacetimes
Steven Duplij, Gerald A. Goldin, Vladimir Shtelen
Conformally compactified (3+1)-dimensional Minkowski spacetime may be identified with the projective light cone in (4+2)-dimensional spacetime. In the latter spacetime the special…
Generalizations of Nonlinear and Supersymmetric Classical Electrodynamics
Steven Duplij, Gerald A. Goldin, Vladimir M. Shtelen
We first write down a very general description of nonlinear classical electrodynamics, making use of generalized constitutive equations and constitutive tensors. Our approach inclu…
Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations
Gerald A. Goldin, Vladimir Shtelen
We generalize classical Yang-Mills theory by extending nonlinear constitutive equations for Maxwell fields to non-Abelian gauge groups. Such theories may or may not be Lagrangian.…
On gauge transformations of Bäcklund type and higher order nonlinear Schrödinger equations
Gerald A. Goldin, Vladimir M. Shtelen
We introduce a new, more general type of nonlinear gauge transformation in nonrelativistic quantum mechanics that involves derivatives of the wave function and belongs to the class…