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- W3106778571 abstract "This article examines the suggestion made in Ref. [EPL, 115 (2016) 60001] that a solution to a particle in an infinite spherical well model, if it is square-integrable, is a physically valid solution, even if at the precise location of the singularity there is no underlying physical cause, therefore, the divergence would have to be a nonlocal phenomenon caused by confining walls at a distance. In this work we examine this claim more carefully. By identifying the correct differential equation for a divergent square-integrable solution and rewriting it in the form of the Schroedinger equation, we infer that the divergent wavefunction would be caused by the potential V(r)=-r delta(r), which is a kind of attractive delta potential. Because of its peculiar form and the fact that it leads to a divergent potential energy = - infinity, the potential V(r) and the divergent wavefunction associated with it are not physically meaningful." @default.
- W3106778571 created "2020-12-07" @default.
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- W3106778571 date "2020-11-30" @default.
- W3106778571 modified "2023-09-27" @default.
- W3106778571 title "The presence of non-analyticities and singularities in the wavefunction and the role of invisible delta potentials" @default.
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