Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian
solv-int
2024-05-14 v3 可精确求解与可积系统
摘要
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.
引用
@article{arxiv.solv-int/9508001,
title = {Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian},
author = {Troy Shinbrot},
journal= {arXiv preprint arXiv:solv-int/9508001},
year = {2024}
}
备注
11 pgs, 3 figures