Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
Quantum Physics
2009-11-06 v2 Condensed Matter
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0003069,
title = {Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions},
author = {Izumi Tsutsui and Tamas Fulop and Taksu Cheon},
journal= {arXiv preprint arXiv:quant-ph/0003069},
year = {2009}
}
Comments
4 pages ReVTeX with 4 epsf figures. KEK preprint 2000-3. Correction in Eq.(14)