Quantization via hopping amplitudes: Schroedinger equation and free QED
量子物理
2007-05-23 v2
摘要
Schroedinger's equation with scalar and vector potentials is shown to describe "nothing but" hopping of a quantum particle on a lattice; any spatial variation of the hopping amplitudes acts like an external electric and/or magnetic field. The main point of the argument is the superposition principle for state vectors; Lagrangians, path integrals, or classical Hamiltonians are not (!) required. Analogously, the Hamiltonian of the free electromagnetic field is obtained as a twofold continuum limit of unitary hopping in Z(N) link configuration space, if gauge invariance and C and P symmetries are imposed.
引用
@article{arxiv.quant-ph/9907102,
title = {Quantization via hopping amplitudes: Schroedinger equation and free QED},
author = {L. Polley},
journal= {arXiv preprint arXiv:quant-ph/9907102},
year = {2007}
}
备注
LaTeX2e, 12 pages, no figures