A Normalization Condition for the Probability Current in Some Remarkable Cases-Reference-Cited by-同舟云学术

A Normalization Condition for the Probability Current in Some Remarkable Cases

Published:2024-04-23 Issue:2 Volume:6 Page:147-155
ISSN:2624-960X
Container-title:Quantum Reports
language:en
Short-container-title:Quantum Reports

Author:

Feoli Antonio¹,Benedetto Elmo²^ORCID,Iannella Antonella Lucia¹^ORCID

Affiliation:

1. Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

2. Department of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano, Italy

Abstract

Starting from the dynamics of a bouncing ball in classical and quantum regime, we have suggested in a previous paper to add an arbitrary function of time to the standard expression of the probability current in quantum mechanics. In this paper, we suggest a way to determine this function: imposing a suitable normalization condition. The application of our proposal to the case of the harmonic oscillator is discussed.

Funder

University of Sannio

Publisher

MDPI AG

Link

https://www.mdpi.com/2624-960X/6/2/12/pdf

Reference23 articles.

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3. Quantum coupling between gravity and mass in bouncing ball dynamics;Feoli;Eur. J. Phys.,2019

4. La mécanique ondulatoire et la structure atomique de la matière et du rayonnement;J. Phys. Radium,1927