Publication: Frustating use of the Laplace transform for the quantum states of a particle in a box
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Date
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Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
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Volume Title
Publisher
Sociedade Brasileira de Física
Type
Article
Access right
Acesso aberto
Abstract
In a recent paper diffused in the literature, the quantum problem of a particle in a infinite square well potential was claimed to be solved via Laplace transform. Surprisingly, the correct solutions were found for an eigenvalue problem with variable defined on a finite range. As a matter of fact, the authors have misused the Laplace transform of the time-independent Schrödinger equation, and they have also used incorrectly the inversion process. In the present paper it is pointed out carefully and clearly those mistakes that might occur with the use of inappropriate methods for a given eigenvalue problem.
Description
Keywords
Infinite square-well potential, Particle in a box, Laplace transform
Language
English
Citation
Revista Brasileira de Ensino de Física. Sociedade Brasileira de Física, v. 42, p. -, 2020.
