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Assembly of an experimental system for the verification of heisenberg's uncertain principle

José Ramon Beltran [UNESP] Abrego, Dan Alec Yamaguchi, Tarcisio Alves Liboni, Barbosa, Antonio Aparecido [UNESP], Marcelino Belusi, Paulo Roberto Salinas, Guilherme Volpe Bossa

Published Oct 18, 2013• 0 citations
OpenAlex

Abstract

In this paper we present the an experimental setup to check the Heisenberg uncertainty principle. The description of the experimental setup and of the theoretical foundations is aimed at promoting the familiarization of the students with the involved concepts. © The Sociedade Brasileira de Física.

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Montagem de um conjunto experimental destinadoa verica c~ao do princ pio da incerteza de Heisenberg (Assembly of an experimental system for the verication of Heisenberg's uncertain principle)

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Recebido em 7/3/2012; Aceito em 1/5/2013; Publicado em 26/9/2013Neste trabalho e apresentada a montagem de um experimento destinado a veri ca˘c~ao de forma simples doprincipio de incerteza de Heisenberg. Por meio da descri˘c~ao da montagem experimental e pela fundamenta˘c~aoteorica pretende-se propiciar uma maior familiariza˘c~ao dos alunos com os conceitos envolvidos.Palavras-chave: princpio da incerteza, princpio de Heisenberg.In this paper we present the an experimental setup to check the Heisenberg uncertainty principle. The des-cription of the experimental setup and of the theoretical foundations is aimed at promoting the familiarizationof the students with the involved concepts.Keywords: Heisenberg’s uncertainty principle, uncertainty principle.

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The Schwinger quantum action principle is a dynamic characterization of the transformation functions and is based on the algebraic structure derived from the kinematic analysis of the measurement processes at the quantum level. As such, this variational principle, allows to derive the canonical commutation relations in a consistent way. Moreover, the dynamic pictures of Schrödinger, Heisenberg and a quantum Hamilton-Jacobi equation can be derived from it. We will implement this formalism by solving simple systems such as the free particle, the quantum harmonic oscillator and the quantum forced harmonic oscillator©by the Sociedade Brasileira de Física. Printed in Brazil.

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Abstract We present an educational approach aimed at introducing the fundamental concepts of quantum mechanics (QM). By exploiting the formal analogy between sound wave behavior in an acoustic pipe (a drinking straw) and the quantum infinite square potential well, we provide an intuitive framework that explains the origin of energy quantization in bound quantum systems (such as atoms), introduces the concept of wavefunction, and lays the groundwork for discussing the Heisenberg uncertainty relations. The proposed method enables low-cost experimental activities that actively involve students, facilitating a meaningful connection between theoretical principles and empirical observations. Moreover, it encourages critical reflection on the Copenhagen interpretation of the wavefunction, promoting a deeper conceptual understanding.
The Schwinger quantum action principle is a dynamic characterization of the transformation functions and is based on the algebraic structure derived from the kinematic analysis of the measurement processes at the quantum level. As such, this variational principle, allows to derive the canonical commutation relations in a consistent way. Moreover, the dynamic pictures of Schrödinger, Heisenberg and a quantum Hamilton-Jacobi equation can be derived from it. We will implement this formalism by solving simple systems such as the free particle, the quantum harmonic oscillator and the quantum forced harmonic oscillator©by the Sociedade Brasileira de Física. Printed in Brazil.