A one-dimensional lattice model for a quantum mechanical free particle
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 --> ... (B) over bar B (B) over bar B (B) over bar ...; B --> ... A (A) over bar A (A) over bar A .... It is shown that the combined distribution of these particles obeys the time evolution of a free particle as given by quantum mechanics.
A one-dimensional lattice model for a quantum mechanical free particle
作者:A. C. de la Torre、A. Daleo
DOI:10.1007/s10053-000-8805-1
日期:2000.1
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 --> ... (B) over bar B (B) over bar B (B) over bar ...; B --> ... A (A) over bar A (A) over bar A .... It is shown that the combined distribution of these particles obeys the time evolution of a free particle as given by quantum mechanics.