42 citations · 52 across the 5 of their papers we have counts for
5 papers
Circularly polarized periodic gravitational wave and the Pais-Uhlenbeck oscillator
Mahmut Elbistan
The "Bargmann framework" allows us to prove the equivalence of the Pais-Uhlenbeck oscillator with a spin-zero particle in a circularly polarized periodic gravitational wave. Pushin…
Effective potential for relativistic scattering
Mahmut Elbistan, Pengming Zhang, Janos Balog
We consider quantum inverse scattering with singular potentials and calculate the Sine-Gordon model effective potential in the laboratory and centre-of-mass frames. The effective p…
Duality and helicity: a symplectic viewpoint
M. Elbistan, C. Duval, P. A. Horvathy +1
The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infi…
Wigner-Souriau translations and Lorentz symmetry of chiral fermions
C. Duval, M. Elbistan, P. A. Horvathy +1
Chiral fermions can be embedded into Souriau's massless spinning particle model by "enslaving" the spin, viewed as a gauge constraint. The latter is not invariant under Lorentz boo…
Topological Concepts for the Weyl Hamiltonians with the Berry Gauge Field
Mahmut Elbistan
The winding numbers for the even d+1 spacetime dimensional Weyl Hamiltonians are calculated in terms of the related Green's functions. It is shown that these winding numbers result…