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Journal articles on the topic 'Heisenberg uncertainty principle'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Barukčić, Ilija. "Anti Heisenberg – Refutation of Heisenberg’s Uncertainty Principle." International Journal of Applied Physics and Mathematics 4, no. 4 (2014): 244–50. http://dx.doi.org/10.7763/ijapm.2014.v4.292.

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2

Peijnenburg, Jeanne, and David Atkinson. "Hoe zeker is Heisenbergs onzekerheidsprincipe?" Algemeen Nederlands Tijdschrift voor Wijsbegeerte 113, no. 1 (2021): 137–56. http://dx.doi.org/10.5117/antw2021.1.006.peij.

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Abstract How certain is Heisenberg’s uncertainty principle? Heisenberg’s uncertainty principle is at the heart of the orthodox or Copenhagen interpretation of quantum mechanics. We first sketch the history that led up to the formulation of the principle. Then we recall that there are in fact two uncertainty principles, both dating from 1927, one by Werner Heisenberg and one by Earle Kennard. Finally, we explain that recent work in physics gives reason to believe that the principle of Heisenberg is invalid, while that of Kennard still stands.

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3

Jesi Pebralia. "PRINSIP KETIDAKPASTIAN HEISENBERG DALAM TINJAUAN KEMAJUAN PENGUKURAN KUANTUM DI ABAD 21." JOURNAL ONLINE OF PHYSICS 5, no. 2 (2020): 43–47. http://dx.doi.org/10.22437/jop.v5i2.9049.

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The Heisenberg uncertainty principle is the basic foundation of quantum physics that characterizes quantum physics with classical physics. The Heisenberg uncertainty principle provides boundaries where there are no absolute measurement results in any quantum measurement. Along with the development of increasingly sophisticated measurement instruments in the 21st century, presents the opportunity for the emergence of modifications from the Heisenberg uncertainty principle from the general form of existing formulations. This study aims to provide an overview of the opportunities for Heisenberg u

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4

Putra, Fima Ardianto. "On the Semiclassical Approach of the Heisenberg Uncertainty Relation in the Strong Gravitational Field of Static Blackhole." Jurnal Fisika Indonesia 22, no. 2 (2020): 15. http://dx.doi.org/10.22146/jfi.v22i2.34274.

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Heisenberg Uncertainty and Equivalence Principle are the fundamental aspect respectively in Quantum Mechanic and General Relativity. Combination of these principles can be stated in the expression of Heisenberg uncertainty relation near the strong gravitational field i.e. pr and Et . While for the weak gravitational field, both relations revert to pr and Et. It means that globally, uncertanty principle does not invariant. This work also shows local stationary observation between two nearby points along the radial direction of blackhole. The result shows that the lower point has larger uncertai

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5

Cao, Zhaozhong. "Uncertainty principle and complementary variables." Highlights in Science, Engineering and Technology 61 (July 30, 2023): 18–23. http://dx.doi.org/10.54097/hset.v61i.10260.

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The two most important areas in modern physics are quantum mechanics and the theory of relativity. Unlike classical physics, where Newton's mechanics dominates, these two areas change human beings' fundamental view of the universe. One of the theories that build up the base of quantum mechanics is Heisenberg's Uncertainty Principle. Starting from a thought experiment, Heisenberg's microscope in the setting of classical physics, Werner Heisenberg built a bridge between classical and quantum physics by presenting a counterintuitive outcome in the thought experiment. Since then, the observer of a

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6

Fei, Minggang, Yubin Pan, and Yuan Xu. "Some shaper uncertainty principles for multivector-valued functions." International Journal of Wavelets, Multiresolution and Information Processing 14, no. 06 (2016): 1650043. http://dx.doi.org/10.1142/s0219691316500430.

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The Heisenberg uncertainty principle and the uncertainty principle for self-adjoint operators have been known and applied for decades. In this paper, in the framework of Clifford algebra, we establish a stronger Heisenberg–Pauli–Wely type uncertainty principle for the Fourier transform of multivector-valued functions, which generalizes the recent results about uncertainty principles of Clifford–Fourier transform. At the end, we consider another stronger uncertainty principle for the Dunkl transform of multivector-valued functions.

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7

Srivastava, S. "Quantum Theory of Uncertainty Principle or Indeterminacy Principle." American Journal of Modern Physics 14, no. 1 (2025): 29–32. https://doi.org/10.11648/j.ajmp.20251401.13.

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The differential and integral forms of Indeterminacy principle or Heisenberg Uncertainty principle have been described in this paper. The uncertainty in the measurement of ∆E is not only due to the measurement of ∆t and h but is also due to quantization factor Q. We have discussed Order-Disorder Transformation, Differential and Integral forms of Indeterminacy principle (Quantum Theory of Uncertainty principle), Quantum Representation and Action Quantization Process in details. We have used the Order- Disorder concept and established that the Heisenberg Uncertainty principle may be evaluated fr

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8

Barukčić, Ilija. "Anti Heisenberg—The End of Heisenberg’s Uncertainty Principle." Journal of Applied Mathematics and Physics 04, no. 05 (2016): 881–87. http://dx.doi.org/10.4236/jamp.2016.45096.

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9

Wulandari, Dewi. "Mathematics Behind the Heisenberg Uncertainty Principle." Jurnal Penelitian Pendidikan IPA 9, no. 4 (2023): 2223–28. http://dx.doi.org/10.29303/jppipa.v9i4.3545.

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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

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10

Shao, Yinuo. "Analysis of Principle and State-of-art Implementations of Heisenberg’s Uncertainty." Highlights in Science, Engineering and Technology 104 (June 11, 2024): 54–59. http://dx.doi.org/10.54097/y331d237.

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As a matter of fact, the Heisenberg’s uncertainty principle has important significance and extensive application in microcosmic particle science, is one of the cornerstones of quantum mechanics, proposed by Heisenberg in 1927. The uncertainty principle means that it is impossible to measure a particle’s speed and position at the same time. The uncertainty of particle, i.e., the product of uncertainty of position (∆Q) and uncertainty of momentum (∆P), is inevitable greater than or equal to Plank’s constant, it expresses the inconsistency between particle behavior in microcosm and macroscopic su

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11

Hleili, Khaled. "A variety of uncertainty principles for the Hankel-Stockwell transform." Open Journal of Mathematical Analysis 5, no. 1 (2021): 22–34. http://dx.doi.org/10.30538/psrp-oma2021.0079.

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In this work, we establish \(L^p\) local uncertainty principle for the Hankel-Stockwell transform and we deduce \(L^p\) version of Heisenberg-Pauli-Weyl uncertainty principle. Next, By combining these principles and the techniques of Donoho-Stark we present uncertainty principles of concentration type in the \(L^p\) theory, when \(1< p\leqslant2\). Finally, Pitt's inequality and Beckner's uncertainty principle are proved for this transform.

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12

Beckwith, A. W., and S. S. Moskaliuk. "Generalized Heisenberg Uncertainty Principle in Quantum Geometrodynamics and General Relativity." Ukrainian Journal of Physics 62, no. 8 (2017): 727–40. http://dx.doi.org/10.15407/ujpe62.08.0727.

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13

Hkimi, Siwar, Hatem Mejjaoli, and Slim Omri. "Dispersion’s Uncertainty Principles Associated with the Directional Short-Time Fourier Transform." Studia Scientiarum Mathematicarum Hungarica 57, no. 4 (2020): 508–40. http://dx.doi.org/10.1556/012.2020.57.4.1479.

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We introduce the directional short-time Fourier transform for which we prove a new Plancherel’s formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle, Faris–Price uncertainty principles and Donoho–Stark’s uncertainty principles.

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14

Honegger, Reinhard. "On Heisenberg's Uncertainty Principle and the CCR." Zeitschrift für Naturforschung A 48, no. 3 (1993): 447–51. http://dx.doi.org/10.1515/zna-1993-0301.

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Abstract Realizing the canonical commutation relations (CCR) [N, Θ] = - i as N = - i d/dϑ and Θ to be the multiplication by ϑ on the Hilbert space of square integrable functions on [0, 2π], in the physical literature there seems to be some contradictions concerning the Heisenberg uncertainty principle ⟨ΔN⟨ ⟨ΔΘ⟨ ≥ 1/4. The difficulties may be overcome by a rigorous mathematical analysis of the domain of state vectors, for which Heisenberg's inequality is valid. It is shown that the exponentials exp {i t N} and exp{i sΘ} satisfy some commutation relations, which are not the Weyl relations. Final

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15

Kallel, I., and A. Saoudi. "Uncertainty Principle for the Weinstein-Gabor Transforms." International Journal of Analysis and Applications 22 (May 31, 2024): 94. http://dx.doi.org/10.28924/2291-8639-22-2024-94.

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In this paper, we present the localization of the ν-entropy for the Weinstein Gabor transform. Through the utilization of the ν-entropy, we establish an alternative expression for the Heisenberg uncertainty principle for the Weinstein Gabor transform. In addition, we further extend our study by elaborating on an Lp version of the Heisenberg uncertainty principle for the Weinstein Gabor transform.

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16

Zdravkovi, S. "Heisenberg Uncertainty Principle and DNA Dynamics." Physics Essays 18, no. 2 (2005): 168–73. http://dx.doi.org/10.4006/1.3025734.

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17

Lee, Yuh-Jia, and Aurel Stan. "AN INFINITE-DIMENSIONAL HEISENBERG UNCERTAINTY PRINCIPLE." Taiwanese Journal of Mathematics 3, no. 4 (1999): 529–38. http://dx.doi.org/10.11650/twjm/1500407165.

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18

Li, Yong-Gang, Bing-Zhao Li, and Hua-Fei Sun. "Uncertainty Principles for Wigner-Ville Distribution Associated with the Linear Canonical Transforms." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/470459.

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The Heisenberg uncertainty principle of harmonic analysis plays an important role in modern applied mathematical applications, signal processing and physics community. The generalizations and extensions of the classical uncertainty principle to the novel transforms are becoming one of the most hottest research topics recently. In this paper, we firstly obtain the uncertainty principle for Wigner-Ville distribution and ambiguity function associate with the linear canonical transform, and then then-dimensional cases are investigated in detail based on the proposed Heisenberg uncertainty principl

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19

Barukčić, Ilija. "Objective reality versus Heisenberg's uncertainty." Causation 20, no. 5 (2024): 5——38. https://doi.org/10.5281/zenodo.12745326.

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<strong>Background:</strong>The debate surrounding the relationship between position and momentum, particularly in the context of quantum mechanics, has been a cornerstone of discussions about the nature of reality and the measurement problem of quantum mechanics. This study examines the implications of refuting Heisenberg’s uncertainty principle and aims to provide a proof of the existence of objective reality independently and outside of any human mind and consciousness.<strong>Material and methods:</strong>By employing rigorous theoretical analysis and logical proofs, we explore the f

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20

Dar, Aamir, and Younus Bhat. "Donoho-Stark’s and Hardy’s uncertainty principles for the short-time quaternion offset linear canonical transform." Filomat 37, no. 14 (2023): 4467–80. http://dx.doi.org/10.2298/fil2314467d.

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The quaternion offset linear canonical transform (QOLCT) which is time-shifted and frequencymodulated version of the quaternion linear canonical transform (QLCT) provides a more general framework of most existing signal processing tools. For the generalized QOLCT, the classical Heisenberg?s and Lieb?s uncertainty principles have been studied recently. In this paper, we first define the short-time quaternion offset linear canonical transform (ST-QOLCT) and derive its relationship with the quaternion Fourier transform (QFT). The crux of the paper lies in the generalization of several well known

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21

Fu, Yingxiong, and Luoqing Li. "Uncertainty principle for multivector-valued functions." International Journal of Wavelets, Multiresolution and Information Processing 13, no. 01 (2015): 1550005. http://dx.doi.org/10.1142/s0219691315500058.

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The idea of multiplexing motivates us to develop the theory on the Fourier transform (FT) of multivector-valued functions. In this paper, in the framework of Clifford analysis, we establish a Heisenberg–Pauli–Weyl type uncertainty principle for the FT of multivector-valued functions.

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22

Baccar, Cyrine, and Aicha Kabache. "Uncertainty principles for the continuous wavelet transform associated with a Bessel type operator on the half line." Malaya Journal of Matematik 12, no. 03 (2024): 290–306. http://dx.doi.org/10.26637/mjm1203/007.

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This paper presents uncertainty principles pertaining to generalized wavelet transforms associated with a second-order differential operator on the half line, extending the concept of the Bessel operator. Specifically, we derive a Heisenberg-Pauli-Weyl type uncertainty principle, as well as other uncertainty relations involving sets of finite measure

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23

Rösler, Margit. "An uncertainty principle for the Dunkl transform." Bulletin of the Australian Mathematical Society 59, no. 3 (1999): 353–60. http://dx.doi.org/10.1017/s0004972700033025.

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24

McKERROW, K. KELLY, and JOAN E. MCKERROW. "Naturalistic Misunderstanding of the Heisenberg Uncertainty Principle." Educational Researcher 20, no. 1 (1991): 17–20. http://dx.doi.org/10.3102/0013189x020001017.

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25

MOONEY, CHRISTOPHER F. "THEOLOGY AND THE HEISENBERG UNCERTAINTY PRINCIPLE: I." Heythrop Journal 34, no. 3 (1993): 247–73. http://dx.doi.org/10.1111/j.1468-2265.1993.tb00915.x.

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26

MOONEY, CHRISTOPHER F. "THEOLOGY AND THE HEISENBERG UNCERTAINTY PRINCIPLE: II." Heythrop Journal 34, no. 4 (1993): 373–86. http://dx.doi.org/10.1111/j.1468-2265.1993.tb00922.x.

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27

Shanafelt, Robert. "Quantum Mechanics and the Heisenberg Uncertainty Principle." Science & Technology Libraries 15, no. 1 (1995): 63–94. http://dx.doi.org/10.1300/j122v15n01_06.

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28

Bhoja Poojary, Bhushan. "Origin of Heisenberg's Uncertainty Principle." American Journal of Modern Physics 4, no. 4 (2015): 203. http://dx.doi.org/10.11648/j.ajmp.20150404.17.

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29

Nye, Logan. "Complexity Considerations in the Heisenberg Uncertainty Principle." Journal of High Energy Physics, Gravitation and Cosmology 10, no. 04 (2024): 1470–513. http://dx.doi.org/10.4236/jhepgc.2024.104083.

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30

Lawrence, H. Jeffrey. "Stem cells and the Heisenberg uncertainty principle." Blood 104, no. 3 (2004): 597–98. http://dx.doi.org/10.1182/blood-2004-05-1862.

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31

Williams, M. "The Heisenberg uncertainty principle and anaesthetic performance." Anaesthesia 54, no. 5 (1999): 513–14. http://dx.doi.org/10.1046/j.1365-2044.1999.907ww.x.

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32

Singh, Jyoti, and Shiv Datt Kumar. "Mathematical counterpart of the heisenberg uncertainty principle." Reports on Mathematical Physics 80, no. 2 (2017): 161–76. http://dx.doi.org/10.1016/s0034-4877(17)30074-5.

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33

Ma, Ruiqin. "Heisenberg uncertainty principle on Chébli–Trimèche hypergroups." Pacific Journal of Mathematics 235, no. 2 (2008): 289–96. http://dx.doi.org/10.2140/pjm.2008.235.289.

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34

Lakshmibala, S. "Heisenberg, matrix mechanics, and the uncertainty principle." Resonance 9, no. 8 (2004): 46–56. http://dx.doi.org/10.1007/bf02837577.

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35

RAJAGOPAL, A. K., and VIRENDRA GUPTA. "UNCERTAINTY PRINCIPLE, SQUEEZING, AND QUANTUM GROUPS." Modern Physics Letters A 07, no. 40 (1992): 3759–64. http://dx.doi.org/10.1142/s0217732392003177.

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It is shown that the complete form of the Heisenberg Uncertainty Relation (HUR) must be employed in introducing the concepts of squeezing and coherent state in q-quantum mechanics. An important feature of this form of the HUR is that it is invariant under unitary transformation of the operators appearing in it and consequences of this are pointed out.

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36

Soltani, Fethi. "Uncertainty Principles for the Dunkl-Wigner Transforms." Journal of Operators 2016 (September 27, 2016): 1–7. http://dx.doi.org/10.1155/2016/7637346.

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37

Bahri, Mawardi, and Ryuichi Ashino. "Some properties of windowed linear canonical transform and its logarithmic uncertainty principle." International Journal of Wavelets, Multiresolution and Information Processing 14, no. 03 (2016): 1650015. http://dx.doi.org/10.1142/s0219691316500156.

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Based on the relationship between the Fourier transform (FT) and linear canonical transform (LCT), a logarithmic uncertainty principle and Hausdorff–Young inequality in the LCT domains are derived. In order to construct the windowed linear canonical transform (WLCT), Gabor filters associated with the LCT is introduced. Using the basic connection between the classical windowed Fourier transform (WFT) and the WLCT, a new proof of inversion formula for the WLCT is provided. This relation allows us to derive Lieb’s uncertainty principle associated with the WLCT. Some useful properties of the WLCT

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38

Putra, Fima Ardianto. "De Broglie Wave Analysis of the Heisenberg Uncertainty Minimum Limit under the Lorentz Transformation." Jurnal Teras Fisika 1, no. 2 (2018): 1. http://dx.doi.org/10.20884/1.jtf.2018.1.2.1008.

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A simple analysis using differential calculus has been done to consider the minimum limit of the Heisenberg uncertainty principle in the relativistic domain. An analysis is made by expressing the form of and based on the Lorentz transformation, and their corresponding relation according to the de Broglie wave packet modification. The result shows that in the relativistic domain, the minimum limit of the Heisenberg uncertainty is p x ?/2 and/or E t ?/2, with is the Lorentz factor which depend on the average/group velocity of relativistic de Broglie wave packet. While, the minimum limit accordin

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39

Chapagain, Anurag. "An analysis on Quantum mechanical Stability of Regular Polygons on a Point Base Using Heisenberg Uncertainty Principle." International Journal for Research in Applied Science and Engineering Technology 9, no. 10 (2021): 74–79. http://dx.doi.org/10.22214/ijraset.2021.38321.

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Abstract: It is a well-known fact in physics that classical mechanics describes the macro-world, and quantum mechanics describes the atomic and sub-atomic world. However, principles of quantum mechanics, such as Heisenberg’s Uncertainty Principle, can create visible real-life effects. One of the most commonly known of those effects is the stability problem, whereby a one-dimensional point base object in a gravity environment cannot remain stable beyond a time frame. This paper expands the stability question from 1- dimensional rod to 2-dimensional highly symmetrical structures, such as an even

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40

Sonnino, Giorgio. "Prigogine’s Second Law and Determination of the EUP and GUP Parameters in Small Black Hole Thermodynamics." Universe 10, no. 10 (2024): 390. http://dx.doi.org/10.3390/universe10100390.

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In 1974, Stephen Hawking made the groundbreaking discovery that black holes emit thermal radiation, characterized by a specific temperature now known as the Hawking temperature. While his original derivation is intricate, retrieving the exact expressions for black hole temperature and entropy in a simpler, more intuitive way without losing the core physical principles behind Hawking’s assumptions is possible. This is obtained by employing the Heisenberg Uncertainty Principle, which is known to be connected to thenvacuum fluctuation. This exercise allows us to easily perform more complex calcul

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41

Bagchi, S. C., and Swagato K. Ray. "Uncertainty principles like Hardy's theorem on some Lie groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 65, no. 3 (1998): 289–302. http://dx.doi.org/10.1017/s1446788700035886.

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AbstractWe extend an uncertainty principle due to Cowling and Price to Euclidean spaces, Heisenberg groups and the Euclidean motion group of the plane. This uncertainty principle is a generalisation of a classical result due to Hardy. We also show that on the real line this uncertainty principle is almost equivalent to Hardy's theorem.

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42

Sponar, Stephan. "Error-disturbance uncertainty relations in neutron spin measurements." International Journal of Quantum Information 14, no. 04 (2016): 1640016. http://dx.doi.org/10.1142/s0219749916400165.

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Heisenberg’s uncertainty principle in a formulation of uncertainties, intrinsic to any quantum system, is rigorously proven and demonstrated in various quantum systems. Nevertheless, Heisenberg’s original formulation of the uncertainty principle was given in terms of a reciprocal relation between the error of a position measurement and the thereby induced disturbance on a subsequent momentum measurement. However, a naive generalization of a Heisenberg-type error-disturbance relation for arbitrary observables is not valid. An alternative universally valid relation was derived by Ozawa in 2003.

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43

Kumar, Ajay, and Chet Raj Bhatta. "An uncertainty principle like Hardy's theorem for nilpotent Lie groups." Journal of the Australian Mathematical Society 77, no. 1 (2004): 47–54. http://dx.doi.org/10.1017/s1446788700010144.

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AbstractWe extend an uncertainty principle due to Cowling and Price to threadlike nilpotent Lie groups. This uncertainty principle is a generalization of a classical result due to Hardy. We are thus extending earlier work on Rnand Heisenberg groups.

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44

Scardigli, Fabio. "Hawking temperature for various kinds of black holes from Heisenberg uncertainty principle." International Journal of Geometric Methods in Modern Physics 17, supp01 (2020): 2040004. http://dx.doi.org/10.1142/s0219887820400046.

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Hawking temperature for a large class of black holes (Schwarzschild, Reissner–Nordström, (Anti) de Sitter, with spherical, toroidal and hyperboloidal topologies) is computed using only laws of classical physics plus the “classical” Heisenberg Uncertainty Principle. This principle is shown to be fully sufficient to get the result, and there is no need to this scope of a Generalized Uncertainty Principle or an Extended Uncertainty Principle.

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45

Akram, Nemri. "Heisenberg-type uncertainty principle for the second \(q\)-Bargmann transform on the unit disk." Cubo (Temuco) 27, no. 1 (2025): 55–73. https://doi.org/10.56754/0719-0646.2701.055.

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In this paper, we give a local uncertainty principle inequality for the second \( q \)-Bargmann transform \( \mathcal{B}_{\alpha,q} \) introduced by A. Essadiq et al. in [6] and we derive a \( q \)-version of the Heisenberg-type uncertainty principle on the \( q \)-weighted Bergman space \( \mathcal{A}_{\alpha,q} \). Also, using this local uncertainty principle and the partial \( q \)-Bargmann integrals, we establish an uncertainty principle of concentration type for this transform.

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46

Moradpour, H., A. H. Ziaie, S. Ghaffari, and F. Feleppa. "The generalized and extended uncertainty principles and their implications on the Jeans mass." Monthly Notices of the Royal Astronomical Society: Letters 488, no. 1 (2019): L69—L74. http://dx.doi.org/10.1093/mnrasl/slz098.

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ABSTRACT The generalized and extended uncertainty principles affect the Newtonian gravity and also the geometry of the thermodynamic phase space. Under the influence of the latter, the energy–temperature relation of ideal gas may change. Moreover, it seems that the Newtonian gravity is modified in the framework of the Rényi entropy formalism motivated by both the long-range nature of gravity and the extended uncertainty principle. Here, the consequences of employing the generalized and extended uncertainty principles, instead of the Heisenberg uncertainty principle, on the Jeans mass are studi

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47

Su, Yu. "Heisenberg type uncertainty principle for continuous shearlet transform." Journal of Nonlinear Sciences and Applications 09, no. 03 (2016): 778–86. http://dx.doi.org/10.22436/jnsa.009.03.06.

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48

Laplante, P. A. "The Heisenberg uncertainty principle and the halting problem." ACM SIGACT News 22, no. 3 (1991): 63–65. http://dx.doi.org/10.1145/126537.126545.

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49

Ozawa, Masanao. "Position measuring interactions and the Heisenberg uncertainty principle." Physics Letters A 299, no. 1 (2002): 1–7. http://dx.doi.org/10.1016/s0375-9601(02)00659-x.

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50

Banouh, Hicham, and Anouar Ben Mabrouk. "A sharp Clifford wavelet Heisenberg-type uncertainty principle." Journal of Mathematical Physics 61, no. 9 (2020): 093502. http://dx.doi.org/10.1063/5.0015989.

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