dorsal/arxiv
View SchemaInteger spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian
| Authors | Troy Shinbrot |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9508001 |
| URL | https://arxiv.org/abs/solv-int/9508001 |
| DOI | 10.1063/1.5116695 |
| Journal | Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (2019) |
| License | http://creativecommons.org/licenses/by-nc-sa/4.0/ |
Abstract
Exact wave functions are is derived from an azimuthally periodic a self-consistent quantum Hamiltonian in 2+1 dimensions using both the Klein-Gordon and the Schroedinger equations. It isWe shown that, curiously, for both relativistic and non-relativistic equations, integer spin wave equations necessarily produce half-integer angular momentum in this potential. We find additionally that the higher energy, relativistic, solutions require an asymptotically free potential, while the lower energy, Schroedinger, solutions can exist in a potential that grows linearly with r. These are purely mathematical results, however we speculate on possible physical interpretations.
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"abstract": "Exact wave functions are is derived from an azimuthally periodic a\nself-consistent quantum Hamiltonian in 2+1 dimensions using both the\nKlein-Gordon and the Schroedinger equations. It isWe shown that, curiously, for\nboth relativistic and non-relativistic equations, integer spin wave equations\nnecessarily produce half-integer angular momentum in this potential. We find\nadditionally that the higher energy, relativistic, solutions require an\nasymptotically free potential, while the lower energy, Schroedinger, solutions\ncan exist in a potential that grows linearly with r. These are purely\nmathematical results, however we speculate on possible physical\ninterpretations.",
"arxiv_id": "solv-int/9508001",
"authors": [
"Troy Shinbrot"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.5116695",
"journal_ref": "Chaos: An Interdisciplinary Journal of Nonlinear Science 29 (2019)",
"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
"title": "Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian",
"url": "https://arxiv.org/abs/solv-int/9508001"
},
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