Unitary transformation for the system of a particle in a linear potential
Quantum Physics
2016-09-08 v2
Abstract
A unitary operator which relates the system of a particle in a linear potential with time-dependent parameters to that of a free particle, has been given. This operator, closely related to the one which is responsible for the existence of coherent states for a harmonic oscillator, is used to find a general wave packet described by an Airy function. The kernel (propagator) and a complete set of Hermite-Gaussian type wave functions are also given.
Keywords
Cite
@article{arxiv.quant-ph/0211107,
title = {Unitary transformation for the system of a particle in a linear potential},
author = {Dae-Yup Song},
journal= {arXiv preprint arXiv:quant-ph/0211107},
year = {2016}
}
Comments
Europhysics Letters (in press)