The relativistic rotated harmonic oscillator
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913994399285248 |
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| author | Balmaseda, A. Krejcirik, D. Pérez-Pardo, J. M. |
| author_facet | Balmaseda, A. Krejcirik, D. Pérez-Pardo, J. M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The relativistic rotated harmonic oscillator Balmaseda, A. Krejcirik, D. Pérez-Pardo, J. M. Spectral Theory Mathematical Physics Quantum Physics 34L40, 34L15, 47A10, 81Q12 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. |
| title | The relativistic rotated harmonic oscillator |
| topic | Spectral Theory Mathematical Physics Quantum Physics 34L40, 34L15, 47A10, 81Q12 |
| url | https://arxiv.org/abs/2411.16494 |