Advantages of the probability amplitude over the probability density in quantum mechanics
Abstract
We discuss reasons why a probability amplitude, which becomes a probability density after squaring, is considered as one of the most basic ingredients of quantum mechanics. First, the Heisenberg/Schrodinger equation, an equation of motion in quantum mechanics, describes a time evolution of the probability amplitude rather than of a probability density. There may be reasons why dynamics of a physical system are described by amplitude. In order to investigate one role of the probability amplitude in quantum mechanics, specialized codeword-transfer experiments are designed using classical information theory. Within this context, quantum mechanics based on probability amplitude provides the following: i) a minimum error of the codeword transfer; ii) this error is independent of coding parameters; and iii) nontrivial and nonlocal correlation can be realized. These are considered essential advantages of the probability amplitude over the probability density.
Keywords
Cite
@article{arxiv.1304.5824,
title = {Advantages of the probability amplitude over the probability density in quantum mechanics},
author = {Yoshimasa Kurihara and Nhi My Uyen Quach},
journal= {arXiv preprint arXiv:1304.5824},
year = {2014}
}
Comments
14pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1206.2432