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16 papers · 1 filter
On BPS preons, generalized holonomies and D=11 supergravities
I. A. Bandos, J. A. de Azcarraga, J. M. Izquierdo +2
We develop the BPS preon conjecture to analyze the supersymmetric solutions of D=11 supergravity. By relating the notions of Killing spinors and BPS preons, we develop a moving G-f…
Three dimensional quantum algebras: a Cartan-like point of view
A. Ballesteros, E. Celeghini, M. A. del Olmo
A perturbative quantization procedure for Lie bialgebras is introduced and used to classify all three dimensional complex quantum algebras compatible with a given coproduct. The ro…
Discrete q-derivatives and symmetries of q-difference equations
D. Levi, J. Negro, M. A. del Olmo
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many of the properties conside…
Intertwining technique for a system of difference Schroedinger equations and new exactly solvable multichannel potentials
L. M. Nieto, B. F. Samsonov, A. A. Suzko
The intertwining operator technique is applied to difference Schroedinger equations with operator-valued coefficients. It is shown that these equations appear naturally when a disc…
New exactly solvable periodic potentials for the Dirac equation
B. F. Samsonov, A. A. Pecheritsin, E. O. Pozdeeva +1
A new exactly solvable relativistic periodic potential is obtained by the periodic extension of a well-known transparent scalar potential. It is found that the energy band edges ar…
Intertwining technique for the one-dimensional stationary Dirac equation
L. M. Nieto, A. A. Pecheritsin, Boris F. Samsonov
The technique of differential intertwining operators (or Darboux transformation operators) is systematically applied to the one-dimensional Dirac equation. The following aspects ar…