48 citations · 102 across the 7 of their papers we have counts for
7 papers
Time-dependent q-deformed coherent states for generalized uncertainty relations
Sanjib Dey, Andreas Fring, Laure Gouba +1
We investigate properties of generalized time-dependent q-deformed coherent states for a noncommutative harmonic oscillator. The states are shown to satisfy a generalized version o…
On the physics of the hydrogen atom
P. G. Castro, R. Kullock
In this work we investigate the -deformation of the dynamical symmetry of the hydrogen atom using the theory of the quantum group . We derive the energy spectru…
Snyder Noncommutativity and Pseudo-Hermitian Hamiltonians from a Jordanian Twist
P. G. Castro, R. Kullock, F. Toppan
Nonrelativistic quantum mechanics and conformal quantum mechanics are deformed through a Jordanian twist. The deformed space coordinates satisfy the Snyder noncommutativity. The re…
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
P. G. Castro, B. Chakraborty, R. Kullock +1
Noncommutative oscillators are first-quantized through an abelian Drinfel'd twist deformation of a Hopf algebra and its action on a module. Several important and subtle issues maki…
Hopf Algebras in Deformed Quantum Theories
P. G. Castro
In this work we apply the Drinfel'd twist of Hopf algebras to the study of deformed quantum theories. We prove that, by carefully considering the role of the central extension, it…
Twist Deformations of the Supersymmetric Quantum Mechanics
P. G. Castro, B. Chakraborty, Z. Kuznetsova +1
The N-extended Supersymmetric Quantum Mechanics is deformed via an abelian twist which preserves the super-Hopf algebra structure of its Universal Enveloping Superalgebra. Two cons…