J. Van der Jeugt

most citedDeformation of the Heisenberg-Weyl algebra and the Lie superalgebra

osp (1∣2)

: exact solution for the quantum harmonic oscillator with a position-dependent mass

5 citations · 5 across the 2 of their papers we have counts for

collaborators

2 papers

math-ph2025

$Z_{2}^{3}$ -grading of the Lie algebra $G_{2}$ and related color algebras

N. I. Stoilova, J. Van der Jeugt

We present a special and attractive basis for the exceptional Lie algebra $G_{2}$ , which turns $G_{2}$ into a $Z_{2}^{3}$ -graded Lie algebra. There are two basis elements for each…

quant-ph2025★ 5 cited

Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra $osp (1∣2)$ : exact solution for the quantum harmonic oscillator with a position-dependent mass

E. I. Jafarov, S. M. Nagiyev, J. Van der Jeugt

We propose a new deformation of the quantum harmonic oscillator Heisenberg-Weyl algebra with a parameter $a > - 1$ . This parameter is introduced through the replacement of the homogen…

Z23​-grading of the Lie algebra G2​ and related color algebras

Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra osp(1∣2): exact solution for the quantum harmonic oscillator with a position-dependent mass

$Z_{2}^{3}$ -grading of the Lie algebra $G_{2}$ and related color algebras

Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra $osp (1∣2)$ : exact solution for the quantum harmonic oscillator with a position-dependent mass