42 citations · 585 across the 52 of their papers we have counts for
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Impact of the non-canonical approach to the exact solution of the ideal one-dimensional electron gas confined with an anisotropic quantum wire of oscillator-shaped profile
E. I. Jafarov, S. M. Nagiyev, J. Van der Jeugt
We study an exactly solvable model that can be interpreted as an ideal one-dimensional electron gas confined with an anisotropic quantum wire potential of oscillator-shaped profile…
The Wigner distribution function for the finite oscillator and Dyck paths
Roy Oste, Joris Van der Jeugt
Recently, a new definition for a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-…
A Wigner distribution function for finite oscillator systems
Joris Van der Jeugt
We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The d…
Quantum state transfer in spin chains with q-deformed interaction terms
E. I. Jafarov, J. Van der Jeugt
We study the time evolution of a single spin excitation state in certain linear spin chains, as a model for quantum communication. Some years ago it was discovered that when the sp…
Transition to sub-Planck structures through the superposition of q-oscillator stationary states
E. I. Jafarov, J. Van der Jeugt
We investigate the superposition of four different quantum states based on the -oscillator. These quantum states are expressed by means of Rogers-Szegö polynomials. We show that…
Quantum communication through a spin chain with interaction determined by a Jacobi matrix
R. Chakrabarti, J. Van der Jeugt
We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, wh…
Wigner Quantization of Hamiltonians Describing Harmonic Oscillators Coupled by a General Interaction Matrix
Gilles Regniers, Joris Van der Jeugt
In a system of coupled harmonic oscillators, the interaction can be represented by a real, symmetric and positive definite interaction matrix. The quantization of a Hamiltonian des…