198 citations · 843 across the 80 of their papers we have counts for
6 papers · 1 filter
A remarkable dynamical symmetry of the Landau problem
Tekin Dereli, Philippe Nounahon, Todor Popov
We show that the dynamical group of an electron in a constant magnetic field is the group of symplectomorphisms . It is generated by the spinorial realization of…
Bloch waves and Non-commutative Tori of Magnetic Translations
Tekin Dereli, Todor Popov
We review the Landau problem of an electron in a constant uniform magnetic field. The magnetic translations are the invariant transformations of the free Hamiltonian. A Kähler pola…
Kaluza-Klein Reduction of the 6 Dimensional \\ Dirac Equation on and \\ Non-abelian Topological Insulators
Tekin Dereli, Keremcan Doğan, Cem Yetişmişoğlu
In this work, the Kaluza-Klein reduction of the Dirac equation on a 6 dimensional spacetime is studied. Because of the gr…
Degenerate Spin Structures and the Levy-Leblond Equation
T. Dereli, S. Kocak, M. Limoncu
Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle ove…
The Covariant Description of Electromagnetically Polarizable Media
T. Dereli, J. Gratus, R. W. Tucker
The form of the phenomenological stress-energy-momentum tensor for the electromagnetic field in a class of inhomogeneous, anisotropic magneto-electric media is calculated from firs…
Solutions of the Gaudin Equation and Gaudin Algebras
A. B. Balantekin, T. Dereli, Y. Pehlivan
Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions we introduce a class of mutually commuting…