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Spontaneous Symmetry Breakdown in non-relativistic Quantum Mechanics

Mathematical Physics 2012-10-26 v2 High Energy Physics - Theory math.MP

Abstract

The advantages and disadvantages of some pedagogical non-relativistic quantum-mechanical models, used to illustrate spontaneous symmetry breakdown, are discussed. A simple quantum-mechanical toy model (a spinor on the line, subject to a magnetostatic interaction) is presented, that exhibits the spontaneous breakdown of an internal symmetry.

Keywords

Cite

@article{arxiv.1205.4773,
  title  = {Spontaneous Symmetry Breakdown in non-relativistic Quantum Mechanics},
  author = {R. Munoz-Vega and A. Garcia-Quiroz and Ernesto Lopez-Chavez and Encarnacion Salinas-Hernandez},
  journal= {arXiv preprint arXiv:1205.4773},
  year   = {2012}
}

Comments

19 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1111.1213. Equations (30) and (31) have been corrected. Other minor corrections