On integrals associated with the Free particle wave packet
Number Theory
2020-12-02 v2
Abstract
We discuss some properties of integrals associated with the free particle wave packet, which are solutions to the time-dependent Schrdinger equation for a free particle in one dimension. Some noteworthy discussion is made in relation to integrals which have appeared in the literature. We also obtain formulas for half-integer arguments of the Riemann zeta function.
Cite
@article{arxiv.1606.03789,
title = {On integrals associated with the Free particle wave packet},
author = {Alexander E Patkowski},
journal= {arXiv preprint arXiv:1606.03789},
year = {2020}
}
Comments
Corrected Lemma 1.1 and a constant