Talbot Effect with Matter Waves

Abstract

Talbot effect in the space-time evolution of matter waves is analyzed and shown that the matter waves at relativistic and non-relativistic velocities exhibit coherence beyond the grating and display Talbot self-imaging. The grating is realized by considering equidistant narrowly peaked coherent probability distributions at the onset. Theoretical frame work is based on a quantum particle at relativistic and non-relativistic velocities in a one dimensional box. The matter waves, in their evolution, display Talbot self-imaging and fractional self-imaging as restructuring, respectively, at Talbot length and fractional Talbot lengths.

Published in the Proceedings of 'NUST Conference on Applications and Methods of Physics 2011', pp 1-8, Ed. A. Qadir, R. Khalid, and F. Saif

References in corpus (2)

• Quantum wave packet revivals
• An electron Talbot interferometer

Cited by in corpus (1)

• Near-field diffraction of protons by a nanostructured metallic grating under external electric field: Asymmetry and sidebands in Talbot self-imaging