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• W3104128528 abstract "We consider one particle confined to a deformed one-dimensional wire. The quantum mechanical equivalent of the classical problem is not uniquely defined. We describe several possible hamiltonians and corresponding solutions for a finite wire with fixed endpoints and non-vanishing curvature. We compute and compare the disparate eigenvalues and eigenfunctions obtained from different quantization prescriptions. The JWKB approximation without potential leads precisely to the square well spectrum and the coordinate dependent stretched or compressed box related eigenfunctions. The geometric potential arising from an adiabatic expansion in terms of curvature is at best only valid for very small curvature." @default.
• W3104128528 created "2020-11-23" @default.
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• W3104128528 creator A5062275210 @default.
• W3104128528 date "2015-11-24" @default.
• W3104128528 modified "2023-10-18" @default.
• W3104128528 title "Quantum single-particle properties in a one-dimensional curved space" @default.
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• W3104128528 doi "https://doi.org/10.1080/09500340.2015.1116634" @default.
• W3104128528 hasPublicationYear "2015" @default.
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