Probabilistic Parallels in the Classical Limit of Quantum Mechanical Models
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909377166835712 |
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| author | Ramakrishnan, Raghunathan |
| author_facet | Ramakrishnan, Raghunathan |
| contents | At large quantum numbers, the probability densities for particle-in-a-box or simple harmonic oscillator converge to the classical result upon coarse-graining the quantum mechanical probability densities by introducing a finite resolution in the measurement of the particle's position. This resolution in the position can be related to the resolution of the secondary total angular momentum quantum number ($m$) when interpreting the probabilistic outcomes of the Stern--Gerlach-type thought experiments for large values of the angular momentum quantum numbers ($j$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02329 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probabilistic Parallels in the Classical Limit of Quantum Mechanical Models Ramakrishnan, Raghunathan Quantum Physics At large quantum numbers, the probability densities for particle-in-a-box or simple harmonic oscillator converge to the classical result upon coarse-graining the quantum mechanical probability densities by introducing a finite resolution in the measurement of the particle's position. This resolution in the position can be related to the resolution of the secondary total angular momentum quantum number ($m$) when interpreting the probabilistic outcomes of the Stern--Gerlach-type thought experiments for large values of the angular momentum quantum numbers ($j$). |
| title | Probabilistic Parallels in the Classical Limit of Quantum Mechanical Models |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.02329 |