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Advances in micro-technology of the last years have made it possible to carry optics textbooks experiments over to atomic and molecular beams, such as diffraction by a double slit or transmission grating. The usual wave-optical approach…

Quantum Physics · Physics 2017-08-23 Gerhard C. Hegerfeldt , Thorsten Koehler

The equivalence principle of gravity is examined at the quantum level using the diffraction in time of matter waves in two ways. First, we consider a quasi-monochromatic beam of particles incident on a shutter which is removed at time $t =…

Quantum Physics · Physics 2022-07-12 Juan A. Cañas , J. Bernal , A. Martín-Ruiz

Electron scattering on a thin layer where the potential depends self-consistently on the wave function has been studied. When the amplitude of the incident wave exceeds a certain threshold, a soliton-shaped brightening (darkening) appears…

Condensed Matter · Physics 2008-12-18 O. M. Bulashenko , V. A. Kochelap , L. L. Bonilla

A few years ago, diffraction of atoms by double slits and gratings was achieved for the first time, and standard optical wave-theory provided an excellent description of the experiments. More recently, diffraction of weakly bound molecules…

Quantum Physics · Physics 2007-05-23 Gerhard C. Hegerfeldt , Thorsten Koehler

We study the quantum slit diffraction problem in three dimensions. In the treatment of diffraction of particles by a slit, it is usually assumed that the motion perpendicular to the slit is classical. Here we take into account the effect of…

Quantum Physics · Physics 2015-10-30 Mathieu Beau , T. C. Dorlas

Quantum reflection is a universal property of atoms and molecules when scattered from surfaces in ultracold collisions. Recent experimental work has documented the quantum reflection and diffraction of He atoms, dimers, trimers and Neon…

Quantum Physics · Physics 2018-12-12 G. Rojas-Lorenzo , J. Rubayo-Soneira , S. Miret-Artés , E. Pollak

Typically one expects that when a heavy particle collides with a surface, the scattered angular distribution will follow classical mechanics. The heavy mass assures that the de Broglie wavelength of the incident particle in the direction of…

Chemical Physics · Physics 2015-05-19 Jeremy M. Moix , Eli Pollak

At present, the theory of light diffraction only has the simple wave-optical approach. In this paper, we study light diffraction with the approach of relativistic quantum theory. We find that the slit length, slit width, slit thickness and…

This dissertation is concerned with understanding and analyzing some of the effects of diffraction in the near field. The contributions of homogeneous and of evanescent waves to two-dimensional near-field diffraction patterns of scalar…

Optics · Physics 2007-05-23 Marek W. Kowarz

By following the trajectories of quantum particles inside a periodic lattice and preserving their classical probabilities for reflection, transmission and absorption at each lattice plane, classical scattering outcomes are obtained.…

Materials Science · Physics 2007-05-23 Sérgio L. Morelhão , Luis H. Avanci

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 Physics · Physics 2009-11-13 Xiang-Yao Wu , Bai-Jun Zhang , Xiao-Jing Liu , Li Wang , Bing Liu , Xi-Hui Fan , Yi-Qing Guo

We generalize the notion of the Franhoufer diffraction from a single slit and a circular aperture to the case of partially temporal coherent and quasimonochromatic light. The problem is studied analytically and the effect of coherence…

Optics · Physics 2019-03-27 E. Koushki , S. A. Alavi

Long ago appeared a discussion in quantum mechanics of the problem of opening a completely absorbing shutter on which were impinging a stream of particles of definite velocity. The solution of the problem was obtained in a form entirely…

Quantum Physics · Physics 2009-10-31 Vladimir Man'ko , Marcos Moshinsky , Anju Sharma

We present a simplified model for dynamical diffraction of particles through a periodic thick perfect crystal based on repeated application of a coherent beam splitting unitary at coarse-grained lattice sites. By demanding translational…

Quantum Physics · Physics 2016-12-14 J. Nsofini , K. Ghofrani , D. Sarenac , D. G. Cory , D. A. Pushin

Prompted by recent experimental developments, a theory of surface scattering of fast atoms at grazing incidence is developed. The theory gives rise to a quantum mechanical limit for ordered surfaces that describes coherent diffraction peaks…

Atomic Physics · Physics 2022-09-23 J. R. Manson , Hocine Khemliche , Philippe Roncin

In this paper, we theoretically investigate a particular experimental setup which coalesces the concepts of the double slit and single slit diffraction. In Thomas Young's classic double slit experiment, monochromatic plane light wave…

General Physics · Physics 2016-08-16 Supantho Rakshit

We consider the problem of quantum scattering of a localized wave packet by a weak Gaussian potential in two spatial dimensions. We show that, under certain conditions, this problem bears close analogy with that of focusing (or defocusing)…

Quantum Physics · Physics 2013-05-30 Arseni Goussev , Klaus Richter

The nonlinear quantum interaction of a linearly polarized x-ray probe beam with a focused intense standing laser wave is studied theoretically. Because of the tight focusing of the standing laser pulse, diffraction effects arise for the…

High Energy Physics - Phenomenology · Physics 2018-08-01 A. Di Piazza , K. Z. Hatsagortsyan , C. H. Keitel

In this article we formulate and solve the problem of molecular beam diffraction when each molecule consists of two interacting bodies. Then, using our results, we present the diffraction patterns for various molecular sizes employing the…

Quantum Physics · Physics 2020-06-30 D. Condado , J. I. Castro-Alatorre , E. Sadurní

We present a theoretical model of matter-wave diffraction through a material nanostructure. This model is based on the numerical solution of the time-dependent Schr{\"o}dinger equation, which goes beyond the standard semi-classical…

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