American Journal of Modern Physics
Volume 4, Issue 4, July 2015, Pages: 203-211
Received: Jun. 14, 2015;
Accepted: Jun. 29, 2015;
Published: Jul. 8, 2015
Views 7005 Downloads 196
Bhushan Bhoja Poojary, BSC Physics, Nims University, Jaipur, Rajasthan, India
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.
Bhushan Bhoja Poojary,
Origin of Heisenberg's Uncertainty Principle, American Journal of Modern Physics.
Vol. 4, No. 4,
2015, pp. 203-211.
Fujia Yang, Joseph H. Hamilton : Modern Atomic and Nuclear Physics , 296-298 (2010)
Tannoudji , C.: Atoms in Electromagnetic Fields, 342–345 (2004)
Frankel, T.: The Geometry of Physics: An Introduction, 433–434 (2012)
Griffiths, D.: Introduction to Quantum Mechanics 2nd Edition, 126–128 (2009)
Marburger, J.: Constructing Reality: Quantum Theory and Particle Physics, Cambridge University Press,93–94 (2011)
Andreescu, T., Andric, D.: Complex Numbers from A to ... Z second edition, 31–33 (2014)
Harris, F.: Mathematics for Physical Science and Engineering - Symbolic Computing Applications in Maple and Mathematica, 96–97 (2014)
Serway, R., Jewett, J.: Physics for Scientists and Engineers with Modern Physics Volume 5 7th Edition, 1166–1167
Silbey, R., Alberty, R. & Bawendi, M.: Physical chemistry, 4th ed, Wiley-India edition, 298–299 (2007)
Buschhorn, G., Wess, J.: Fundamental Physics — Heisenberg and Beyond,36–40 (2004)
Thakur, S., Rai, D.: Atom, laser and spectroscopy, second edition,34–35 (2013)
Raghuvanshi, G.: Engineering Physics, second edition,315–317 (2010)
Cohen, D.: Precalculus: With Unit Circle Trigonometry, 4th Edition,563–569 (2006)
Blumel, R.: Foundations of Quantum Mechanics: From Photons to Quantum Computers, 28–41 (2010)
Fitts, D.: Principles of Quantum Mechanics: As Applied to Chemistry and Chemical Physics,101–103 (2004)
Gouesbet, G., Gréhan, G.: Generalized Lorenz-Mie Theories, 17–18 (2011)
Gary N. Felder, Kenny M. Felder.: Mathematical Methods in Engineering and Physics, 192-193 (2015)
Cropper, W.: Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking ,277–280 (2001)
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
Louis de Broglie. : Heisenberg’s Uncertainties and the Probabilistic Interpretation of Wave mechanics,15-16 (1990)
Masaru Kuno.: Introductory Nanoscience,102-103 (2012).