American Journal of Modern Physics

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Wave Function Is not Amplitude of Probability Density

Received: 24 March 2017    Accepted: 25 April 2017    Published: 14 June 2017
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Abstract

Wave function (WF) is usually accepted to be the amplitude of probability density of a particle at a given point of phase space. This assertion is often referred to as Born postulate (BP) which is one of foundations of quantum mechanics. It is obvious that BP requires the normalization of WF to the number of indistinguishable particles in the object under study. But calculation methods of quantum mechanics require normalization to unit regardless of the number of electrons in the atom. The simplest way to solve this contradiction is to reject BP and acknowledge that normalization of WF has no relation to the number of particles in the object under consideration. This contradiction was not noticed until now because BP was tested for WF of single particles only.

DOI 10.11648/j.ajmp.20170604.11
Published in American Journal of Modern Physics (Volume 6, Issue 4, July 2017)
Page(s) 49-50
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.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Wave Function, Probability Density, Born Postulate, Normalization

References
[1] J. L. Basdevant, and J. Dalibard, “Quantum Mechanics”, Springer; Berlin, 2002.
[2] S. Gasiorowiczs, “Quantum Physics,” third Edition, John Wiley & Sons Ltd., New York, 2003.
[3] W. Greiner, “Quantum Mechanics, an Introduction,” fourth Edition, Springer, Berlin, 2001.
[4] L. I. Schiff, “Quantum Mechanics,” McGraw-Hill, New York, 1949.
[5] E. Merzbacher, “Quantum Mechanics”, second Edition, John Wiley and Sons Ltd., New York, 1970.
[6] D. J. Griffiths, “Introduction to Quantum Mechanics,” Prentice Hall, Upper Saddle River, 1995.
[7] F. Schwabl, “Quantum Mechanics”, fourth Edition, Springer Berlin Heidelberg New York, 2007.
[8] D. Bohm, “Quantum Theory”, Prentice Hall, New York, 1952.
[9] W. H. Zurek, Probabilities from entanglement, Born’s rule from envariance, Phys. Rev. A 71, 052105, (2005).
[10] Grant, I. P. “Relativistic Quantum Theory of Atoms and Molecules”, Springer Science+Business Media; New York, 2007.
[11] Matthew Redshaw, B. Pianna, J. Mount and Edmund G. Myers, Penning-trap measurement of the atomic masses of and uncertainties < 0.1 parts per ; Phys. Rev. A 79, 012507 (2009).
Author Information
  • Independent Scholar, Moscow, Russian Federation

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    Marat Vladimirovich Guryev. (2017). Wave Function Is not Amplitude of Probability Density. American Journal of Modern Physics, 6(4), 49-50. https://doi.org/10.11648/j.ajmp.20170604.11

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    ACS Style

    Marat Vladimirovich Guryev. Wave Function Is not Amplitude of Probability Density. Am. J. Mod. Phys. 2017, 6(4), 49-50. doi: 10.11648/j.ajmp.20170604.11

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    AMA Style

    Marat Vladimirovich Guryev. Wave Function Is not Amplitude of Probability Density. Am J Mod Phys. 2017;6(4):49-50. doi: 10.11648/j.ajmp.20170604.11

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  • @article{10.11648/j.ajmp.20170604.11,
      author = {Marat Vladimirovich Guryev},
      title = {Wave Function Is not Amplitude of Probability Density},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {4},
      pages = {49-50},
      doi = {10.11648/j.ajmp.20170604.11},
      url = {https://doi.org/10.11648/j.ajmp.20170604.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajmp.20170604.11},
      abstract = {Wave function (WF) is usually accepted to be the amplitude of probability density of a particle at a given point of phase space. This assertion is often referred to as Born postulate (BP) which is one of foundations of quantum mechanics. It is obvious that BP requires the normalization of WF to the number of indistinguishable particles in the object under study. But calculation methods of quantum mechanics require normalization to unit regardless of the number of electrons in the atom. The simplest way to solve this contradiction is to reject BP and acknowledge that normalization of WF has no relation to the number of particles in the object under consideration. This contradiction was not noticed until now because BP was tested for WF of single particles only.},
     year = {2017}
    }
    

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