Heisenberg’s uncertainty principle states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle (complementary variables) can be measured simultaneously. Heisenberg’s uncertainty principle has indubitable support, but the origin behind this principle is unexplained. If complementary variables of particles are considered as complex numbers—for example, in calculating particle position, a complex vector coordinate space is necessary instead of the Cartesian space—then the origin of lower limit of Heisenberg’s uncertainty principle emerges.
| Published in | American Journal of Modern Physics (Volume 4, Issue 4) |
| DOI | 10.11648/j.ajmp.20150404.17 |
| Page(s) | 203-211 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
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Copyright © The Author(s), 2015. Published by Science Publishing Group |
Heisenberg’s Uncertainty Principle, Complex Number, Complex Vector Space, Energy
| [1] | Fujia Yang, Joseph H. Hamilton : Modern Atomic and Nuclear Physics , 296-298 (2010) |
| [2] | Tannoudji , C.: Atoms in Electromagnetic Fields, 342–345 (2004) |
| [3] | Frankel, T.: The Geometry of Physics: An Introduction, 433–434 (2012) |
| [4] | Griffiths, D.: Introduction to Quantum Mechanics 2nd Edition, 126–128 (2009) |
| [5] | Marburger, J.: Constructing Reality: Quantum Theory and Particle Physics, Cambridge University Press,93–94 (2011) |
| [6] | Andreescu, T., Andric, D.: Complex Numbers from A to ... Z second edition, 31–33 (2014) |
| [7] | Harris, F.: Mathematics for Physical Science and Engineering - Symbolic Computing Applications in Maple and Mathematica, 96–97 (2014) |
| [8] | Serway, R., Jewett, J.: Physics for Scientists and Engineers with Modern Physics Volume 5 7th Edition, 1166–1167 |
| [9] | Silbey, R., Alberty, R. & Bawendi, M.: Physical chemistry, 4th ed, Wiley-India edition, 298–299 (2007) |
| [10] | Buschhorn, G., Wess, J.: Fundamental Physics — Heisenberg and Beyond,36–40 (2004) |
| [11] | Thakur, S., Rai, D.: Atom, laser and spectroscopy, second edition,34–35 (2013) |
| [12] | Raghuvanshi, G.: Engineering Physics, second edition,315–317 (2010) |
| [13] | Cohen, D.: Precalculus: With Unit Circle Trigonometry, 4th Edition,563–569 (2006) |
| [14] | Blumel, R.: Foundations of Quantum Mechanics: From Photons to Quantum Computers, 28–41 (2010) |
| [15] | Fitts, D.: Principles of Quantum Mechanics: As Applied to Chemistry and Chemical Physics,101–103 (2004) |
| [16] | Gouesbet, G., Gréhan, G.: Generalized Lorenz-Mie Theories, 17–18 (2011) |
| [17] | Gary N. Felder, Kenny M. Felder.: Mathematical Methods in Engineering and Physics, 192-193 (2015) |
| [18] | Cropper, W.: Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking ,277–280 (2001) |
| [19] | Piazza, L., Lummen, T., Murooka, Y., Reed, B., Barwick, B. & Carbone, F.: Simultaneous observation of the quantization and the interference pattern of a plasmonic near-field. Nature communications (2015). doi:10.1038/ncomms7407 |
| [20] | Louis de Broglie. : Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave mechanics,15-16 (1990) |
| [21] | Masaru Kuno.: Introductory Nanoscience,102-103 (2012). |
APA Style
Bhushan Bhoja Poojary. (2015). Origin of Heisenberg's Uncertainty Principle. American Journal of Modern Physics, 4(4), 203-211. https://doi.org/10.11648/j.ajmp.20150404.17
ACS Style
Bhushan Bhoja Poojary. Origin of Heisenberg's Uncertainty Principle. Am. J. Mod. Phys. 2015, 4(4), 203-211. doi: 10.11648/j.ajmp.20150404.17
AMA Style
Bhushan Bhoja Poojary. Origin of Heisenberg's Uncertainty Principle. Am J Mod Phys. 2015;4(4):203-211. doi: 10.11648/j.ajmp.20150404.17
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Download@article{10.11648/j.ajmp.20150404.17,
author = {Bhushan Bhoja Poojary},
title = {Origin of Heisenberg's Uncertainty Principle},
journal = {American Journal of Modern Physics},
volume = {4},
number = {4},
pages = {203-211},
doi = {10.11648/j.ajmp.20150404.17},
url = {https://doi.org/10.11648/j.ajmp.20150404.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20150404.17},
abstract = {Heisenberg’s uncertainty principle states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle (complementary variables) can be measured simultaneously. Heisenberg’s uncertainty principle has indubitable support, but the origin behind this principle is unexplained. If complementary variables of particles are considered as complex numbers—for example, in calculating particle position, a complex vector coordinate space is necessary instead of the Cartesian space—then the origin of lower limit of Heisenberg’s uncertainty principle emerges.},
year = {2015}
}
TY - JOUR T1 - Origin of Heisenberg's Uncertainty Principle AU - Bhushan Bhoja Poojary Y1 - 2015/07/08 PY - 2015 N1 - https://doi.org/10.11648/j.ajmp.20150404.17 DO - 10.11648/j.ajmp.20150404.17 T2 - American Journal of Modern Physics JF - American Journal of Modern Physics JO - American Journal of Modern Physics SP - 203 EP - 211 PB - Science Publishing Group SN - 2326-8891 UR - https://doi.org/10.11648/j.ajmp.20150404.17 AB - Heisenberg’s uncertainty principle states that there is a fundamental limit to the precision with which certain pairs of physical properties of a particle (complementary variables) can be measured simultaneously. Heisenberg’s uncertainty principle has indubitable support, but the origin behind this principle is unexplained. If complementary variables of particles are considered as complex numbers—for example, in calculating particle position, a complex vector coordinate space is necessary instead of the Cartesian space—then the origin of lower limit of Heisenberg’s uncertainty principle emerges. VL - 4 IS - 4 ER -
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