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| related topics |
| {wave, scattering, interference} |
| {cos, sin, state} |
| {equation, function, exp} |
| {particle, mechanics, theory} |
| {time, wave, function} |
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Quantum theory of electronic double-slit diffraction
Xiang-Yao Wu, Bai-Jun Zhang, Xiao-Jing Liu, Li Wang, Bing Liu, Xi-Hui Fan, Yi-Qing Guo
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0609187
- categories:
- quant-ph
- comments:
- 9pages, 14figures
- doi:
- 10.1088/0256-307X/24/10/008
- arxiv_id:
- quant-ph/0609187
- created:
- 2006-09-24
- updated:
- 2007-04-24
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