Inversion of Gamow's Formula and Inverse Scattering

Abstract

We present a pedagogical description of the inversion of Gamow's tunnelling formula and we compare it with the corresponding classical problem. We also discuss the issue of uniqueness in the solution and the result is compared with that obtained by the method of Gel'fand and Levitan. We hope that the article will be a valuable source to students who have studied classical mechanics and have some familiarity with quantum mechanics.

LaTeX, 6 figurs in eps format. New abstract; notation in last equation has been corrected

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