dorsal/arxiv
View SchemaQuantum theory of electronic double-slit diffraction
| Authors | Xiang-Yao Wu, Bai-Jun Zhang, Xiao-Jing Liu, Li Wang, Bing Liu, Xi-Hui Fan, Yi-Qing Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609187 |
| URL | https://arxiv.org/abs/quant-ph/0609187 |
| DOI | 10.1088/0256-307X/24/10/008 |
Abstract
The phenomena of electron, neutron, atomic and molecular diffraction have been studied by many experiments, and these experiments are explained by some theoretical works. In this paper, we study electronic double-slit diffraction with quantum mechanical approach. We can obtain the results: (1) When the slit width $a$ is in the range of $3\lambda\sim 50\lambda$ we can obtain the obvious diffraction patterns. (2) when the ratio of $\frac{d+a}{a}=n (n=1, 2, 3,\cdot\cdot\cdot)$, order $2n, 3n, 4n,\cdot\cdot\cdot$ are missing in diffraction pattern. (3)When the ratio of $\frac{d+a}{a}\neq n (n=1, 2, 3,\cdot\cdot\cdot)$, there isn't missing order in diffraction pattern. (4) We also find a new quantum mechanics effect that the slit thickness $c$ has a large affect to the electronic diffraction patterns. We think all the predictions in our work can be tested by the electronic double-slit diffraction experiment.
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"abstract": "The phenomena of electron, neutron, atomic and molecular diffraction have\nbeen studied by many experiments, and these experiments are explained by some\ntheoretical works. In this paper, we study electronic double-slit diffraction\nwith quantum mechanical approach. We can obtain the results: (1) When the slit\nwidth $a$ is in the range of $3\\lambda\\sim 50\\lambda$ we can obtain the obvious\ndiffraction patterns. (2) when the ratio of $\\frac{d+a}{a}=n (n=1, 2,\n3,\\cdot\\cdot\\cdot)$, order $2n, 3n, 4n,\\cdot\\cdot\\cdot$ are missing in\ndiffraction pattern. (3)When the ratio of $\\frac{d+a}{a}\\neq n (n=1, 2,\n3,\\cdot\\cdot\\cdot)$, there isn\u0027t missing order in diffraction pattern. (4) We\nalso find a new quantum mechanics effect that the slit thickness $c$ has a\nlarge affect to the electronic diffraction patterns. We think all the\npredictions in our work can be tested by the electronic double-slit diffraction\nexperiment.",
"arxiv_id": "quant-ph/0609187",
"authors": [
"Xiang-Yao Wu",
"Bai-Jun Zhang",
"Xiao-Jing Liu",
"Li Wang",
"Bing Liu",
"Xi-Hui Fan",
"Yi-Qing Guo"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0256-307X/24/10/008",
"title": "Quantum theory of electronic double-slit diffraction",
"url": "https://arxiv.org/abs/quant-ph/0609187"
},
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