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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. and MARTORELL DOMENECH, Juan. Effective one-dimensional square well for two-dimensional quantum wires. Physical Review B. 1992. Vol. 45, num. 20, pags. 11960-11967. ISSN 0163-1829. [consulted: 27 of June of 2026]. Available at: https://hdl.handle.net/2445/9944