The relativistic rotated harmonic oscillator
Spectral Theory
2025-08-19 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real and discrete, we show that the eigenfunctions do not form a basis and that the pseudospectra are highly non-trivial.
Keywords
Cite
@article{arxiv.2411.16494,
title = {The relativistic rotated harmonic oscillator},
author = {A. Balmaseda and D. Krejcirik and J. M. Pérez-Pardo},
journal= {arXiv preprint arXiv:2411.16494},
year = {2025}
}
Comments
3 figures