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 |
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| 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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