Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908824257953792 |
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| author | Filina, N. V. Baturin, S. S. |
| author_facet | Filina, N. V. Baturin, S. S. |
| contents | We present a closed-form analytic solution for the propagation of an arbitrary charged scalar state in a non-uniform magnetic field. The dynamics are governed by classical beam optics parameters (Courant-Snyder parameters), the Twiss functions, and phase advance, revealing a direct map between quantum evolution and its classical counterpart. The solution decomposes into three components, exhibiting a complex rotation dependent on the sign of the orbital angular momentum (OAM) projection, alongside an intrinsic distortion from interference governed by a generalized Gouy phase. For a relevant Glaser-type magnetic field and a half-blocked twisted electron, we demonstrate that asymmetry reveals interference-driven dynamics beyond rigid rotation. Our fully relativistic framework provides a practical tool for predicting beam behavior in particle accelerators and electron microscopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics Filina, N. V. Baturin, S. S. Quantum Physics Accelerator Physics We present a closed-form analytic solution for the propagation of an arbitrary charged scalar state in a non-uniform magnetic field. The dynamics are governed by classical beam optics parameters (Courant-Snyder parameters), the Twiss functions, and phase advance, revealing a direct map between quantum evolution and its classical counterpart. The solution decomposes into three components, exhibiting a complex rotation dependent on the sign of the orbital angular momentum (OAM) projection, alongside an intrinsic distortion from interference governed by a generalized Gouy phase. For a relevant Glaser-type magnetic field and a half-blocked twisted electron, we demonstrate that asymmetry reveals interference-driven dynamics beyond rigid rotation. Our fully relativistic framework provides a practical tool for predicting beam behavior in particle accelerators and electron microscopes. |
| title | Universal Analytic Solution for the Quantum Transport of Structured Matter-Waves in Magnetic Optics |
| topic | Quantum Physics Accelerator Physics |
| url | https://arxiv.org/abs/2509.03264 |