11 citations · 48 across the 16 of their papers we have counts for
17 papers
Landau levels via Jordan superalgebras
Alessio Marrani, Todor Popov
The goal of this note is to show that Jordan algebras and superalgebras provide an elegant and concise language for formulating quantum mechanical problems with inherent (super)con…
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…
The Conformal-Symmetry--Color-Neutrality Connection in Strong Interaction
M. Kirchbach, T. Popov, J. -A. Vallejo
The color neutrality of hadrons is interpreted as an expression of conformal symmetry of strong interaction, the latter being signaled through the detected "walking" at low transfe…
Color confinement at the boundary of the conformally compactified
M. Kirchbach, T. Popov, J. A. Vallejo
The topology of closed manifolds forces interacting charges to appear in pairs. We take advantage of this property in the setting of the conformal boundary of spac…
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…
Quantum Diagonal Algebra and Pseudo-Plactic Algebra
Todor Popov
The subalgebra of diagonal elements of a quantum matrix group has been conjectured by Daniel Krob and Jean-Yves Thibon to be isomorphic to a cubic algebra, coined the quantum pseud…