Abstract

The scattering process of matter waves by a quantum shutter is investigated by using the spectrum integral representation. The scattered fields are expressed in terms of the Fresnel function. It is shown that the obtained equation gives the Moshinsky function for a one dimensional problem of the plane wave. Also a general integral representation is derived for two dimensional problems. The scattering of matter waves for some special wave-packets are examined analytically and numerically.

DOI

10.3906/fiz-0808-8

Keywords

Edge diffraction, Schrödinger equation, Diffraction in time.

First Page

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Recommended Citation

UMUL, Y. Z (2009). General Formulation of the Scattered Matter Waves by a Quantum Shutter. Turkish Journal of Physics 33 (1): 1-9. https://doi.org/10.3906/fiz-0808-8

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