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

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  • Tsutsui Izumi
    Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK),<BR>Tsukuba, Ibaraki 305-0801
  • Fülöp Tamás
    Institute for Theoretical Physics, Roland Eötvös University, Pázmány P.sétány 1/A, Budapest H-1117, Hungary
  • Cheon Taksu
    Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK),<BR>Tsukuba, Ibaraki 305-0801 Laboratory of Physics, Kochi University of Technology, Tosa Yamada, Kochi 782-8502

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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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