70 citations · 199 across the 5 of their papers we have counts for
5 papers
Ground-state energy of a particle in a space with minimal length and minimal momentum
Arsen Panas, Volodymyr Tkachuk
In this article, we derived a rigorous lower bound on the ground-state energy for a class of one-dimensional quantum systems in deformed space with minimal coordinate and momentum…
Lorentz-covariant deformed algebra with minimal length
C. Quesne, V. M. Tkachuk
The -dimensional two-parameter deformed algebra with minimal length introduced by Kempf is generalized to a Lorentz-covariant algebra describing a ()-dimensional quantized…
Geometrical and physical properties of maths-type q-deformed coherent states for or
C. Quesne, K. A. Penson, V. M. Tkachuk
We compare the geometrical and physical properties of the maths-type coherent states for with those of the same for .
Harmonic oscillator with nonzero minimal uncertainties in both position and momentum in a SUSYQM framework
C. Quesne, V. M. Tkachuk
In the context of a two-parameter deformation of the canonical commutation relation leading to nonzero minimal uncertainties in both position and momentum, the harmonic os…
Maths-type q-deformed coherent states for q > 1
C. Quesne, K. A. Penson, V. M. Tkachuk
Maths-type q-deformed coherent states with allow a resolution of unity in the form of an ordinary integral. They are sub-Poissonian and squeezed. They may be associated wit…