Blow-up of the quantum potential for a free particle in one dimension

Devillanova, G. and Florio, G. and Maddalena, F. (2013) Blow-up of the quantum potential for a free particle in one dimension. Il nuovo cimento C, 36 (3). pp. 83-93. ISSN 1826-9885

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Abstract

We derive a non-linear differential equation that must be satisfied by the quantum potential, in the context of the Madelung equations, in one dimension for a particular class of wave functions. In this case, we exhibit explicit conditions leading to the blow-up of the quantum potential of a free particle at the boundary of the compact support of the probability density.

Item Type: Article
Uncontrolled Keywords: Quantum mechanics ; Formalism ; Ordinary differential equations
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 05 May 2020 12:51
Last Modified: 05 May 2020 12:51
URI: http://eprints.bice.rm.cnr.it/id/eprint/18269

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