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• W3101071772 abstract "We present a solution of the quantum mechanics problem of the allowable energy levels of a bound particle in a one-dimensional finite square well. The method is a geometric-analytic technique utilizing the conformal mapping $w to z = w e^w$ between two complex domains. The solution of the finite square well problem can be seen to be described by the images of simple geometric shapes, lines and circles, under this map and its inverse image. The technique can also be described using the Lambert W function. One can work in either of the complex domains, thereby obtaining additional insight into the finite square well problem and its bound energy states. There are many opportunities to follow up, and we present the method in a pedagogical manner to stimulate further research in this and related avenues." @default.
• W3101071772 created "2020-11-23" @default.
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• W3101071772 date "2017-02-01" @default.
• W3101071772 modified "2023-09-26" @default.
• W3101071772 title "Tutorial: The quantum finite square well and the Lambert W function" @default.
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• W3101071772 doi "https://doi.org/10.1139/cjp-2016-0602" @default.
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