Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
Abstract
We study systems with parity invariant contact interactions in one dimension. The model analyzedis the simplest nontrivial one -a quantum wire with a point defect- and yet is shown to exhibitexotic phenomena, such as strong vs weak coupling duality and spiral anholonomy in the spectralflow. The structure underlying these phenomena is SU(2), which arises as accidental symmetry fora particular class of interactions.
- Publication:
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Journal of the Physical Society of Japan
- Pub Date:
- November 2000
- DOI:
- 10.1143/JPSJ.69.3473
- arXiv:
- arXiv:quant-ph/0003069
- Bibcode:
- 2000JPSJ...69.3473T
- Keywords:
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- Quantum Physics;
- Condensed Matter;
- Mathematical Physics
- E-Print:
- 4 pages ReVTeX with 4 epsf figures. KEK preprint 2000-3. Correction in Eq.(14)