Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian

Details Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian Integer spin particles necessarily produce half-integer angular momentum in a simple complex and periodic Hamiltonian

1995-08-10

arxiv.org/abs/solv-int/9508001v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pgs, 2 figures

Scientific paper

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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