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arxiv: 1004.5489 · v4 · pith:VLGX2EPLnew · submitted 2010-04-30 · ✦ hep-th · math-ph· math.MP· quant-ph

The origin of the hidden supersymmetry

classification ✦ hep-th math-phmath.MPquant-ph
keywords supersymmetryhiddenevennonlocaloriginparitytransformationaharonov-bohm
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The hidden supersymmetry and related tri-supersymmetric structure of the free particle system, the Dirac delta potential problem and the Aharonov-Bohm effect (planar, bound state, and tubule models) are explained by a special nonlocal unitary transformation, which for the usual N=2 supercharges has a nature of Foldy-Wouthuysen transformation. We show that in general case, the bosonized supersymmetry of nonlocal, parity even systems emerges in the same construction, and explain the origin of the unusual N=2 supersymmetry of electron in three-dimensional parity even magnetic field. The observation extends to include the hidden superconformal symmetry.

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