Quantum Theory Approach for Neutron Single and Double-Slit Diffraction

Wu, Xiaofeng; Zhang, Baijun; Hua, Zhong; Liu, Xiaojing; Wu, Yiheng; Tang, Hou-Li; Wang, Yan; Wang, Qingcai; Chi, Li-Xin

doi:10.1007/s10773-010-0406-2

Cited by 2 publications

(13 citation statements)

References 17 publications

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“…It is shown that the results of our calculations are in good agreement with the experiments conducted by other groups. We have also compared our results to those of Xiang-Yao Wu et al [12] and good consistency was established. We have also used this method to model the electron diffraction.…”

Section: |supporting

confidence: 56%

“…M Beau has studied electron diffraction through slits analytically using the Feynman path integral [11]. Also Xiang-Yao Wu et al described neutron diffraction using a quantum approach considering the non-coherent quantum effect [12]. Their results were in good agreement with experimental results.…”

Section: |mentioning

confidence: 83%

“…In this paper the particle diffraction is investigated using a quantum approach but the coherence superposition of the wave functions is considered in the doubleslit diffraction. Also modeling of the wave function diffraction is different from Xiang-Yao Wu et al [12]. In reference [12] analytical solving of Kirchhoff's integral is used for calculation of the diffraction of the wave function.…”

Section: |mentioning

confidence: 99%

“…Also modeling of the wave function diffraction is different from Xiang-Yao Wu et al [12]. In reference [12] analytical solving of Kirchhoff's integral is used for calculation of the diffraction of the wave function. However, in this paper, the Fourier optics approach is used, and the wave function diffraction is calculated by Fourier transforms and the transfer function.…”

Section: |mentioning

confidence: 99%

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Matter wave propagation using the Fourier optics approach

Shayganmanesh¹,

Hematizadeh²

2016

Eur. J. Phys.

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In this paper propagation of matter wave of particles is modeled using the Fourier optics approach. In first step the Schrödinger equation of quantum mechanics is used to find the wave function of the particle. In the second step Fourier optics is employed to model the diffraction of the wave function of the particle through single and double slits. The results of the calculations are presented as graphs of diffraction patterns. The results of the presented method are compared to the existing results in the literature (with different methods) to check the validity of the introduced model. It is shown that the Fourier optics approach is applicable to matter wave of particles in diffraction through slits.

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Section: |supporting

confidence: 56%

Section: |mentioning

confidence: 83%

Section: |mentioning

confidence: 99%

Section: |mentioning

confidence: 99%

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Matter wave propagation using the Fourier optics approach

Shayganmanesh¹,

Hematizadeh²

2016

Eur. J. Phys.

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“…Em [21], Xiang-Yao Wu et al examinam a difração de neutrons por uma e duas fendas com particular atenção para nêutrons frios. Aplicando a representação de Schrödinger em consonância com o teorema integral de Kirchhoff, eles encontraram duas expressões para a intensidade observada.…”

Section: Introductionunclassified

Uma análise da difração de elétrons por um fio delgado de comprimento variado com e sem efeitos de fase Aharonov-Bohm

Assafrão

Favarato

Gonçalves

2018

Rev. Bras. Ensino Fís.

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Resumo É comum, durante os cursos de graduação, estudarmos o fenômeno da difração de ondas eletromagnéticas por sistemas de fendas simples e dupla via teoria escalar da difração e a integral de Kirchoff. De maneira alternativa, analisamos aqui nesse trabalho os padrões de difração de elétrons por uma barreira ou fio delgado de comprimento variado, com e sem efeito de fase Aharonov-Bohm, via integrais de caminho de Feynman. Neste contexto observamos o gradativo surgimento e a predominância dos diferentes domínios da óptica, a fíisica e a geométrica, na região imediatamente anterior ao obstáculo, nos levando a um comportamento complementar ao observado na difração por fenda simples, em particular, quando o obstáculo torna-se muito maior que o comprimento de onda λ.

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Quantum Theory Approach for Neutron Single and Double-Slit Diffraction

Abstract: We provide a quantum approach description of neutron single and double-slit diffraction, with specific attention to the cold neutron diffraction (λ ≈ 20Å) carried out by Zeilinger et al. in 1988. We find the theoretical results are good agreement with experimental data.

Cited by 2 publications

References 17 publications

Matter wave propagation using the Fourier optics approach

Matter wave propagation using the Fourier optics approach

Uma análise da difração de elétrons por um fio delgado de comprimento variado com e sem efeitos de fase Aharonov-Bohm

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