dorsal/arxiv
View SchemaA one-dimensional lattice model for a quantum mechanical free particle
| Authors | A. C. de la Torre |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905031 |
| URL | https://arxiv.org/abs/quant-ph/9905031 |
| DOI | 10.1007/s100530050022 |
| Journal | Eur. Phys. J. D8, 165-168, 2000. |
Abstract
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.
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"abstract": "Two types of particles, A and B with their corresponding antiparticles, are\ndefined in a one dimensional cyclic lattice with an odd number of sites. In\neach step of time evolution, each particle acts as a source for the\npolarization field of the other type of particle with nonlocal action but with\nan effect decreasing with the distance: A --\u003e...\\bar{B} B \\bar{B} B \\bar{B} ...\n; B --\u003e A \\bar{A} A \\bar{A} A ... . It is shown that the combined distribution\nof these particles obeys the time evolution of a free particle as given by\nquantum mechanics.",
"arxiv_id": "quant-ph/9905031",
"authors": [
"A. C. de la Torre"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/s100530050022",
"journal_ref": "Eur. Phys. J. D8, 165-168, 2000.",
"title": "A one-dimensional lattice model for a quantum mechanical free particle",
"url": "https://arxiv.org/abs/quant-ph/9905031"
},
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