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

| Peer-Reviewed

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

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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), 2017. Published by Science Publishing Group

Keywords

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

References

[1]	L. Allen, S. Barnett, and M. Padgett, Optical Angular Momentum, Optics & Optoelectronics (Taylor & Francis, 2003).
[2]	K. E. Ballantine, J. F. Donegan, and P. R. Eastham, Science Advances 2 (2016), 10.1126/sciadv.1501748, http://advances.sciencemag.org/content/2/4/e1501748.full.pdf.
[3]	K. Y. Bliokh, J. Dressel, and F. Nori, New Journal of Physics 16, 093037 (2014).
[4]	G. F. Calvo, A. Picon, and E. Bagan, Phys. Rev. A 73, 013805 (2006).
[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).
[7]	R. Hertel and M. Fähnle, Phys. Rev. B 91, 020411 (2015).
[8]	C. D. Stanciu, F. Hansteen, A. V. Kimel, A. Kirilyuk, A. Tsukamoto, A. Itoh, and T. Rasing, Phys. Rev. Lett. 99, 047601 (2007).
[9]	D. J Griffiths, Introduction to electrodynamics, 3rd ed. (Pearson/Benjamin Cummings, San Francisco, 2008) “International edition” Cover.
[10]	S. M. Barnett, J Mod Opt 57, 1339 (2010), 24808629 [pmid].
[11]	D. T. Paris and F. K. Hurd, Basic Electromagnetic Theory (McGraw Hill, 1969).
[12]	A. Schuster, An Introduction to the Theory of Optics (Edward Arnold, London, 1904).

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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  -

Copy | Download

Author Information

Manfred Fähnle

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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  -

Copy | Download