Quantization via hopping amplitudes: Schroedinger equation and free QED
| dc.creator | Polley, L. | |
| dc.date | 1999-07-30 | |
| dc.date | 2000-03-03 | |
| dc.date.accessioned | 2026-07-07T06:16:50Z | |
| dc.date.available | 2026-07-07T06:16:50Z | |
| dc.description | 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. | |
| dc.description | LaTeX2e, 12 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9907102 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9907102 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94200 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantization via hopping amplitudes: Schroedinger equation and free QED | |
| dc.type | text |