Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian
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| Format: | Preprint |
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1995
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| _version_ | 1866916244257505280 |
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| author | Shinbrot, Troy |
| author_facet | Shinbrot, Troy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_solv_int_9508001 |
| institution | arXiv |
| publishDate | 1995 |
| record_format | arxiv |
| spellingShingle | Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian Shinbrot, Troy Exactly Solvable and Integrable Systems 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. |
| title | Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/solv-int/9508001 |