Simple models exhibiting spontaneous symmetry breakdown in classical and non-relativistic quantum mechanics

Details Simple models exhibiting spontaneous symmetry breakdown in classical and non-relativistic quantum mechanics Simple models exhibiting spontaneous symmetry breakdown in classical and non-relativistic quantum mechanics

2011-11-04

arxiv.org/abs/1111.1213v1

Physics

Mathematical Physics

16 pages, 7 figures

Scientific paper

First, the properties of a classical model of spontaneous symmetry breakdown are analyzed. Then, the pros and cons of some pedagogical non-relativistic quantum-mechanical models, also used to illustrate spontaneous symmetry breakdown, are discussed. Finally, a simple quantum-mechanical toy model (a spinor on the line, with a spin-dependent interaction) is presented, that exhibits the spontaneous breaking of an internal symmetry.

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