Quantum oscillator as 1D anyon
It is shown that in one spatial dimension the quantum oscillator is dual to the charged particle situated in the field described by the superposition of Coulomb and Calogero-Sutherland potentials.
quant-ph↗
arXiv subjects
Ye. Hakobyan
Publications and source records attributed to Ye. Hakobyan.
Quantum Parabolic Sombrero
We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(ρ,ρ_0)=μω^2|ρ^2-ρ_0^2|/2$.
quant-ph↗