Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions

Manfred Fähnle

doi:doi:10.11648/j.ajmp.20170605.12

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Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions

Manfred Fähnle

Published in American Journal of Modern Physics (Volume 6, Issue 5)

Received: 5 July 2017 Accepted: 20 July 2017 Published: 15 August 2017

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Abstract

Recently the spectacular result was derived quantum mechanically that the total angular momentum of photons in light beams with finite lateral extensions can have half-integer quantum numbers. In a circularly polarized Gauss light beam it is half of the spin angular momentum which it would have in a respective infinitely extended wave. In another paper it was shown by a classical calculation that the magnetic moment induced by such a beam in a metal is a factor of two smaller than the one induced by a respective infinitely extended wave. Since the system's angular momentum is proportional to its magnetic moment it could be assumed that the classical result for the magnetic moment reflects the transfer of the total angular momenta of the beam photons to the metal. Here we show that there is no hint that this is indeed the case.

Published in	American Journal of Modern Physics (Volume 6, Issue 5)
DOI	10.11648/j.ajmp.20170605.12
Page(s)	88-90
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

Light Beams with Finite Lateral Extensions, Total Angular Momentum of Photons, Induced Magnetic Moment in Metal

References

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[5]	A. Turpin, C. Rego, A. Picon, J. S. Roma, and C. Hernan-dez-Garcia, Sci. Rep. 7, 43888 (2017).
[6]	A. Turpin, Y. V. Laiko, T. K. Kalkandjev, and J. Mompart, Laser & Photonics Rev. 10, 750 (2016).
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[8]	C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk, A. Tsukamoto, A. Itoh, and T. Rasing, Phys. Rev. Lett. 99, 047601 (2007).
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APA Style

Manfred Fähnle. (2017). Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. American Journal of Modern Physics, 6(5), 88-90. https://doi.org/10.11648/j.ajmp.20170605.12

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Manfred Fähnle. Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. Am. J. Mod. Phys. 2017, 6(5), 88-90. doi: 10.11648/j.ajmp.20170605.12

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AMA Style

Manfred Fähnle. Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. Am J Mod Phys. 2017;6(5):88-90. doi: 10.11648/j.ajmp.20170605.12

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@article{10.11648/j.ajmp.20170605.12,
  author = {Manfred Fähnle},
  title = {Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {5},
  pages = {88-90},
  doi = {10.11648/j.ajmp.20170605.12},
  url = {https://doi.org/10.11648/j.ajmp.20170605.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170605.12},
  abstract = {Recently the spectacular result was derived quantum mechanically that the total angular momentum of photons in light beams with finite lateral extensions can have half-integer quantum numbers. In a circularly polarized Gauss light beam it is half of the spin angular momentum which it would have in a respective infinitely extended wave. In another paper it was shown by a classical calculation that the magnetic moment induced by such a beam in a metal is a factor of two smaller than the one induced by a respective infinitely extended wave. Since the system's angular momentum is proportional to its magnetic moment it could be assumed that the classical result for the magnetic moment reflects the transfer of the total angular momenta of the beam photons to the metal. Here we show that there is no hint that this is indeed the case.},
 year = {2017}
}

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TY  - JOUR
T1  - Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions
AU  - Manfred Fähnle
Y1  - 2017/08/15
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170605.12
DO  - 10.11648/j.ajmp.20170605.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 88
EP  - 90
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170605.12
AB  - Recently the spectacular result was derived quantum mechanically that the total angular momentum of photons in light beams with finite lateral extensions can have half-integer quantum numbers. In a circularly polarized Gauss light beam it is half of the spin angular momentum which it would have in a respective infinitely extended wave. In another paper it was shown by a classical calculation that the magnetic moment induced by such a beam in a metal is a factor of two smaller than the one induced by a respective infinitely extended wave. Since the system's angular momentum is proportional to its magnetic moment it could be assumed that the classical result for the magnetic moment reflects the transfer of the total angular momenta of the beam photons to the metal. Here we show that there is no hint that this is indeed the case.
VL  - 6
IS  - 5
ER  -

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Manfred Fähnle

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APA Style

Manfred Fähnle. (2017). Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. American Journal of Modern Physics, 6(5), 88-90. https://doi.org/10.11648/j.ajmp.20170605.12

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ACS Style

Manfred Fähnle. Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. Am. J. Mod. Phys. 2017, 6(5), 88-90. doi: 10.11648/j.ajmp.20170605.12

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AMA Style

Manfred Fähnle. Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions. Am J Mod Phys. 2017;6(5):88-90. doi: 10.11648/j.ajmp.20170605.12

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@article{10.11648/j.ajmp.20170605.12,
  author = {Manfred Fähnle},
  title = {Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions},
  journal = {American Journal of Modern Physics},
  volume = {6},
  number = {5},
  pages = {88-90},
  doi = {10.11648/j.ajmp.20170605.12},
  url = {https://doi.org/10.11648/j.ajmp.20170605.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170605.12},
  abstract = {Recently the spectacular result was derived quantum mechanically that the total angular momentum of photons in light beams with finite lateral extensions can have half-integer quantum numbers. In a circularly polarized Gauss light beam it is half of the spin angular momentum which it would have in a respective infinitely extended wave. In another paper it was shown by a classical calculation that the magnetic moment induced by such a beam in a metal is a factor of two smaller than the one induced by a respective infinitely extended wave. Since the system's angular momentum is proportional to its magnetic moment it could be assumed that the classical result for the magnetic moment reflects the transfer of the total angular momenta of the beam photons to the metal. Here we show that there is no hint that this is indeed the case.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Comment on Half-Integer Quantum Numbers for the Total Angular Momentum of Photons in Light Beams with Finite Lateral Extensions
AU  - Manfred Fähnle
Y1  - 2017/08/15
PY  - 2017
N1  - https://doi.org/10.11648/j.ajmp.20170605.12
DO  - 10.11648/j.ajmp.20170605.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 88
EP  - 90
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20170605.12
AB  - Recently the spectacular result was derived quantum mechanically that the total angular momentum of photons in light beams with finite lateral extensions can have half-integer quantum numbers. In a circularly polarized Gauss light beam it is half of the spin angular momentum which it would have in a respective infinitely extended wave. In another paper it was shown by a classical calculation that the magnetic moment induced by such a beam in a metal is a factor of two smaller than the one induced by a respective infinitely extended wave. Since the system's angular momentum is proportional to its magnetic moment it could be assumed that the classical result for the magnetic moment reflects the transfer of the total angular momenta of the beam photons to the metal. Here we show that there is no hint that this is indeed the case.
VL  - 6
IS  - 5
ER  -

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