2024/11/25 by A. Balmaseda, Balmaseda, A., Krejcirik, D. +2
Physics and Astronomy · Engineering · #Experimental and Theoretical Physics Studies #Particle Accelerators and Free-Electron Lasers
paper · pdf · doi:10.48550/arxiv.2411.16494
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.