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Effective one-dimensional square well for two-dimensional quantum wires

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The symmetrical two-dimensional quantum wire with two straight leads joined to an arbitrarily shaped interior cavity is studied with emphasis on the single-mode approximation. It is found that for both transmission and bound-state problems the solution is equivalent to that for an energy-dependent one-dimensional square well. Quantum wires with a circular bend, and with single and double right-angle bends, are examined as examples. We also indicate a possible way to detect bound states in a double bend based on the experimental setup of Wu et al.

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WU, H. (hua), SPRUNG, Donald w. l., MARTORELL DOMENECH, Juan. Effective one-dimensional square well for two-dimensional quantum wires. _Physical Review B_. 1992. Vol. 45, núm. 20, pàgs. 11960-11967. [consulta: 20 de gener de 2026]. ISSN: 0163-1829. [Disponible a: https://hdl.handle.net/2445/9944]

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