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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2409.02962 |
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| _version_ | 1866916382777540608 |
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| author | Liu, Yuxi |
| author_facet | Liu, Yuxi |
| contents | We present a geometrical way of understanding the dynamics of wavefunctions in a free space, using the phase-space formulation of quantum mechanics. By visualizing the Wigner function, the spreading, shearing, the so-called "negative probability flow" of wavefunctions, and the long-time asymptotic dispersion, are intuited visually. These results are not new, but previous derivations were analytical, whereas this paper presents elementary geometric arguments that are almost "proofs without words", and suitable for a first course in quantum mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02962 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum wavepackets: Proofs (almost) without words Liu, Yuxi Quantum Physics We present a geometrical way of understanding the dynamics of wavefunctions in a free space, using the phase-space formulation of quantum mechanics. By visualizing the Wigner function, the spreading, shearing, the so-called "negative probability flow" of wavefunctions, and the long-time asymptotic dispersion, are intuited visually. These results are not new, but previous derivations were analytical, whereas this paper presents elementary geometric arguments that are almost "proofs without words", and suitable for a first course in quantum mechanics. |
| title | Quantum wavepackets: Proofs (almost) without words |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2409.02962 |