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arXiv · 2411.16494

The relativistic rotated harmonic oscillator

A. Balmaseda·D. Krejcirik·J. M. Pérez-Pardo
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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.

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A. Balmaseda, D. Krejcirik, J. M. Pérez-Pardo. 2025-04-24. The relativistic rotated harmonic oscillator. https://doi.org/10.1098/rspa.2024.0920

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