A one-dimensional lattice model for a quantum mechanical free particle
量子物理
2009-10-31 v1
摘要
Two types of particles, A and B with their corresponding antiparticles, are defined in a one dimensional cyclic lattice with an odd number of sites. In each step of time evolution, each particle acts as a source for the polarization field of the other type of particle with nonlocal action but with an effect decreasing with the distance: A -->...\bar{B} B \bar{B} B \bar{B} ... ; B --> A \bar{A} A \bar{A} A ... . It is shown that the combined distribution of these particles obeys the time evolution of a free particle as given by quantum mechanics.
引用
@article{arxiv.quant-ph/9905031,
title = {A one-dimensional lattice model for a quantum mechanical free particle},
author = {A. C. de la Torre},
journal= {arXiv preprint arXiv:quant-ph/9905031},
year = {2009}
}
备注
8 pages. Revtex