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.
Blow-up of the quantum potential for a free particle in one dimension / Devillanova, Giuseppe; Florio, Giuseppe; Maddalena, Francesco. - In: IL NUOVO CIMENTO C. - ISSN 2037-4909. - 36:3(2013), pp. 83-93. [10.1393/ncc/i2013-11534-2]
Blow-up of the quantum potential for a free particle in one dimension
DEVILLANOVA, Giuseppe;FLORIO, Giuseppe;MADDALENA, Francesco
2013
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.File in questo prodotto:
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