42 citations · 301 across the 30 of their papers we have counts for
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Various disguises of the Pais-Uhlenbeck oscillator
Mahmut Elbistan, Krzysztof Andrzejewski
Beginning with a simple set of planar equations, we discuss novel realizations of the Pais-Uhlenbeck oscillator in various contexts. First, due to the bi-Hamiltonian character of t…
Duality and helicity: the photon wave function approach
M. Elbistan, P. A. Horvathy, P. -M. Zhang
The photon wave equation proposed in terms of the Riemann-Silberstein vector is derived from a first-order Dirac/Weyl-type action principle. It is symmetric w.r.t. duality transfor…
Topological Numbers and the Weyl Semimetal
Mahmut Elbistan
Generalized Dirac monopoles in momentum space are constructed in even d+1 dimensions from the Weyl Hamiltonian in terms of Green's functions. In 3+1 spacetime dimensions, the (unit…
Helicity of spin-extended chiral particles
M. Elbistan, C. Duval, P. A. Horvathy +1
The helicity of a free massless relativistic particle, , is generalized, for a particle in an electromagnetic field, to ,…
Anomalous properties of spin-extended chiral fermions
M. Elbistan, P. A. Horvathy
The spin-extended semiclassical chiral fermion (we call the S-model), which had been used to derive the twisted Lorentz symmetry of the "spin-enslaved" chiral fermion (we call the…
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…
A Semiclassical Formulation of the Chiral Magnetic Effect and Chiral Anomaly in Even d+1 Dimensions
Omer F. Dayi, Mahmut Elbistan
In terms of the matrix valued Berry gauge field strength for the Weyl Hamiltonian in any even spacetime dimensions a symplectic form whose elements are matrices in spin indices is…
Spin Hall Effect in Noncommutative Coordinates
O. F. Dayi, M. Elbistan
A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect…