Space-time imaging, magnification and time reversal of matter waves
Abstract
An imaging system is proposed for matter-wave functions that is based on producing a quadratic phase modulation on the wavefunction of a charged particle, analogous to that produced by a space or time lens. The modulation is produced by co-propagating the wavepacket within an extremum of the harmonic vector and scalar potentials associated with a slow-wave electromagnetic structure. By preceding and following this interaction with appropriate dispersion, characteristic of a solution to the time-dependent Schr\"odinger equation, a system results that is capable of magnifying (i.e., stretching or compressing the space- and time-scales) and time-reversing an arbitrary quantum wavefunction.
Keywords
Cite
@article{arxiv.2009.05078,
title = {Space-time imaging, magnification and time reversal of matter waves},
author = {Brian H. Kolner},
journal= {arXiv preprint arXiv:2009.05078},
year = {2020}
}
Comments
The following article has been accepted for publication by Applied Physics Letters. After it is published, it will be found at https://aip.scitation.org/journal/apl . 5 pages, 1 figure