Mathematics Behind the Heisenberg Uncertainty Principle

Dewi Wulandari

doi:10.29303/jppipa.v9i4.3545

Mathematics Behind the Heisenberg Uncertainty Principle

Authors

Dewi Wulandari

DOI:

10.29303/jppipa.v9i4.3545

Published:

2023-04-30

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Vol. 9 No. 4 (2023): April

Keywords:

Fourier series, Heisenberg uncertainty, Integral transform, Wave packet

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Wulandari, D. (2023). Mathematics Behind the Heisenberg Uncertainty Principle. Jurnal Penelitian Pendidikan IPA, 9(4), 2223–2228. https://doi.org/10.29303/jppipa.v9i4.3545

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Abstract

Most physics books do not reveal clearly how the Heisenberg uncertainty principle was derived. This uncertainty comes from the consequence of the wave-particle duality of matter giving statement that position and momentum cannot be measured in the same time. This article tries to reveal mathematics background behind the expression the Heisenberg uncertainty using supported mathematics background such as Fourier transform, Fourier transform integral, the probability of Gaussian distribution and it ends up with the expression of wave function which describe the localized particle giving relation Heisenberg uncertainty principle.

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Mathematics Behind the Heisenberg Uncertainty Principle

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