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Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions

Izumi Tsutsui·Tamas Fulop·Taksu Cheon
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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.

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Izumi Tsutsui, Tamas Fulop, Taksu Cheon. 2000-04-14. Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions. https://doi.org/10.1143/jpsj.69.3473

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