Speaker
Description
The quantum harmonic oscillator (QHO) is one of the most important quantum systems. It appears in nonrelativistic physical scenarios, such as the vibrational modes of diatomic molecules but also in relativistic quantum field theory when one quantizes the electromagnetic field. Due to its importance, it is natural to seek relativistic corrections to the QHO. One of the most straightforward relativistic generalizations is a model of the Klein-Gordon HO derived by Znojil from the spinless Salpeter equation (we will refer to this as the ZHO). This model cannot be solved exactly and authors have obtained results using perturbation theory in one and three dimensions. In this work we obtain compact formulas for the first and second order relativistic corrections to the ZHO valid in any dimension. This includes novel results for the physically relevant two-dimensional QHO.
