arXiv subjects

K. Vacek

Publications and source records attributed to K. Vacek.

2 recordsLinked to original sources

arXiv1994

Eigenfunctions for SU(N) particles with 1/r^2 interaction in harmonic confinement

We find a set of the exact eigenfunctions which provide the energy spectrum for the quantum $N$-body Calogero-Sutherland model for fermions or bosons with SU($ν$) spin degrees of freedom moving in a harmonic confinement potential. The eigenfunctions are explicitly constructed as a simple product of the Jastrow wave function for the ground state and the Hermite polynomials introduced to generate the excited states. The corresponding energy spectrum is given by a sum of the correlated ground-state energy and of the excited-state energy for SU($ν$) free particles in a harmonic well.

cond-mat↗

arXiv1993

Confined quantum systems in one dimension and conductance oscillations in narrow channels

An exactly solvable electron model of a confined system with inverse-square interaction is presented. The ground state is given by the Jastrow-product wavefunction of power-law form. We discuss the results in connection with conductance oscillations observed in semiconductor nanostructures, for which single-electron charging effects play a crucial role. Due to the internal spin degrees of freedom, there appear two independent periods of the conductance oscillations in very narrow channels even at zero temperature.

cond-mat↗