About quantum mechanical and classical interpretation of the photon’s wave properties

Authors

  • P. O. Demjanenko National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev http://orcid.org/0000-0001-6138-726X
  • Yu. F. Zinkovskiy National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

DOI:

https://doi.org/10.20535/RADAP.2013.52.129-135

Keywords:

Ψ-function of the photon, the wave properties of photons, diffraction of photons

Abstract

The results of application of Schrödinger equation and Heisenberg‘s uncertainty relation for the photons wave properties description as material particles are presented. Ψ-function of photon as a solution of Schrödinger equation was found to be identical to the solution of Maxwell‘s wave equations for electrical and magnetic components of field intensity in the running plane electromagnetic wave propagating along direction of photon‘s motion. Application of Heisenberg‘s uncertainty relation for the description of photon‘s deviation during passing the narrow hole has led to results well agreed with classical interpretation. Obtained results provide a “new view” on some “old” problems in optics. Specifically they are diffraction of sole photons, diffraction of photons on the tele-scopes inlets, growth of coherence radius of the light coming from the distant stars.

Author Biographies

P. O. Demjanenko, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Cand. Of Sci (Technics), Associate Prof.

Yu. F. Zinkovskiy, National Technical University of Ukraine, Kyiv Politechnic Institute, Kiev

Doc. Of Sci (Technics), Prof.

References

Література:

Ландау Л. Д., Лифшиц Е. М. Теоретическая физика: Учебн. пособие для вузов в 10т. Т.III. Квантовая механика (нерелятивистская теория). – 4-е изд., испр. – М. : Наука. Гл. ред. физ-мат.лит. – 1989. – С. 72.

Дем'яненко П. О. Метрологічні аспекти тлумачення феномену дифракції світла / П. О. Дем'яненко, Ю. Ф. Зіньковський // Вісник НТУУ "КПІ". Серія Радіотехніка, Радіоапаратобудування. – 2008. – №36. – С. 132–140.

Дем'яненко П. О. Про когерентність електромагнітних хвиль, зокрема, світлових. Частина друга / П. О. Дем'яненко, Ю. Ф. Зіньковський // Вісник НТУУ "КПІ". Серія Радіотехніка, Радіоапаратобудування. – 2010. – №41. – С. 191–204.

References

Landau L. D., Lifshyts Е. М. Теоrетichеskаia fizika: Uchebn. posobie dlia vuzov v 10t. Т.III. Kvantovaia mеkhanika (nereliativistskaia теоria). 4-е izd., ispr. M. : Nauka. Gl. red. fizmat.lit, 1989, p.72.

Demianenko P. О., Zinkovsky Yu. F. Metrologichni aspekty tlumachennia fenomenu dyfraktsyi svitla. Visnyk NTUU "KPI". Serija Radiotehnika, Radioaparatobuduvannja. – 2008, №36, pp. 132-140.

Demianenko P. О., Zinkovsky Yu. F. Pro koherentnist elektromahnitnykh khvyl, zokrema, svitlovykh. Chastyna druha. Visnyk NTUU "KPI". Serija Radiotehnika, Radioaparatobuduvannja, 2010, №41, pp.191-204.

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How to Cite

Демьяненко, П. А. and Зиньковский, Ю. (2013) “About quantum mechanical and classical interpretation of the photon’s wave properties”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(52), pp. 129-135. doi: 10.20535/RADAP.2013.52.129-135.

Issue

No. 52 (2013)

Section

Controvery

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