The Uncertainty Principle — An Unfortunate Misconception

Karen Barad

Brian C. Hall

Walter F. Buell, B. A. Shadwick

We discuss several quantum mechanical potential problems, focusing on those which highlight commonly held misconceptions about the existence of bound states. We present a proof, based on the variational principle, that certain one dimensional potentials always support at least one bound state, regardless of the potential’s strength. We examine arguments concerning the existence of bound states based on the uncertainty principle and demonstrate, by explicit calculations, that such arguments must be viewed with skepticism.

Shinya Takamaeda-Yamazaki

Unfortunately, computers are subject to uncertainty. If we can quantitatively evaluate the uncertainty in the output of ordinary computers, we can realize efficient and trustworthy computers that actively utilize fluctuating computation principles.