4 papers · 1 filter
A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties
D. Ojeda Guillén, R. D. Mota, J. C. Vega
We study the parametric amplifier Hamiltonian within the framework of the Dunkl formalism. We introduce the Dunkl creation and annihilation operators and show that their quadratic…
Effect of the two-parameter generalized Dunkl derivative on the two-dimensional Schrödinger equation
R. D. Mota, D. Ojeda-Guillén
We introduce a generalization of the Dunkl-derivative with two parameters to study the Schrödinger equation in Cartesian and polar coordinates in two dimensions. The eigenfunction…
Exact solutions of the Schrödinger Equation with Dunkl Derivative for the Free-Particle Spherical Waves, the Pseudo-Harmonic Oscillator and the Mie-type Potential
R. D. Mota, D. Ojeda-Guillén
We solve exactly the Schrödinger equation for the free-particle, the pseudo-harmonic oscillator and the Mie-type potential in three dimensions with the Dunkl derivative. The equat…
Algebraic approach for the one-dimensional Dirac-Dunkl oscillator
D. Ojeda-Guillén, R. D. Mota, M. Salazar-RamÃrez +1
We extend the -dimensional Dirac-Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac-Dunkl o…