Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions

Details Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions

2000-03-17

arxiv.org/abs/quant-ph/0003069v2

Jour. Phys. Soc. Jpn. 69 (2000) 3473

Physics

Quantum Physics

4 pages ReVTeX with 4 epsf figures. KEK preprint 2000-3. Correction in Eq.(14)

Scientific paper

10.1143/JPSJ.69.3473

We study systems with parity invariant contact interactions in one dimension. The model analyzed is the simplest nontrivial one --- a quantum wire with a point defect --- and yet is shown to exhibit exotic phenomena, such as strong vs weak coupling duality and spiral anholonomy in the spectral flow. The structure underlying these phenomena is SU(2), which arises as accidental symmetry for a particular class of interactions.

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