62 citations · 152 across the 17 of their papers we have counts for
17 papers
A Universal Kinematical Group for Quantum Mechanics
Gerald A. Goldin, David H. Sharp
In 1968, Dashen and Sharp obtained a certain singular Lie algebra of local densities and currents from canonical commutation relations in nonrelativistic quantum field theory. The…
The Prediction of Anyons: Its History and Wider Implications
Gerald A. Goldin
Prediction of ``anyons'', often attributed exclusively to Wilczek, came first from Leinaas & Myrheim in 1977, and independently from Goldin, Menikoff, & Sharp in 1980-81. In 2020,…
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…