222 citations · 1.7k across the 99 of their papers we have counts for
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quant-ph2000★ 75 cited
Symmetry, Duality and Anholonomy of Point Interactions in One Dimension
Taksu Cheon, Tamas Fulop, Izumi Tsutsui
We analyze the spectral structure of the one dimensional quantum mechanical system with point interaction, which is known to be parametrized by the group U(2). Based on the classif…
quant-ph2000★ 20 cited
Duality and Anholonomy in Quantum Mechanics of 1D Contact Interactions
Izumi Tsutsui, Tamas Fulop, Taksu Cheon
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 i…
quant-ph2000★ 18 cited
Wave Function Shredding by Sparse Quantum Barriers
Taksu Cheon, Pavel Exner, Petr Seba
We discuss a model in which a quantum particle passes through potentials arranged in an increasingly sparse way. For infinitely many barriers we derive conditions, expressed in…