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The standing matter waves and Bohm’s quantum potential

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Abstract The standing wave type wave functions are investigated in terms of Bohm’s decomposition of the Schrodinger equation. It is shown that the quantum potential, obtained for the standing matter… Click to show full abstract

Abstract The standing wave type wave functions are investigated in terms of Bohm’s decomposition of the Schrodinger equation. It is shown that the quantum potential, obtained for the standing matter waves, is always different from zero. However, it is also put forth that the wave function do not satisfy the Bohm’s equations except one case, which is defined in the Cartesian coordinates. The Airy type matter wave is also analyzed in terms of the Bohmian approach.

Keywords: matter waves; quantum potential; bohm quantum; matter; waves bohm; standing matter

Journal Title: Optik
Year Published: 2021

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