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Extension to de Broglie Formula of Quantum Mechanics

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Abstract:

Planck-Einstein’s and de Broglie’s are two fundamental equations of quantum physics. But vacuum Cherenkov radiation (VCR) is convincing evidence that the momentum of a single photon should be where the phase constant takes the place of the wave vector . Apart from the momentum, the operator is associated to . The acousto-optic effect and anomalous VCR can be applied to test this conjecture.

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 50)
Pages:
50-60
DOI:
https://doi.org/10.18052/www.scipress.com/ILCPA.50.50
Citation:
Z. Y. Wang "Extension to de Broglie Formula of Quantum Mechanics", International Letters of Chemistry, Physics and Astronomy, Vol. 50, pp. 50-60, 2015
Online since:
May 2015
Authors:
Zhong Yue Wang
Keywords:
Casimir Effect, De Broglie Relation, Momentum Operator, Vacuum Cherenkov Effect
Export:
RIS, BibTeX, Text
Distribution:
Open Access

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References:

[1] Trigg, G. L., Crucial Experiments in Modern Physics (New York: Van Nostrand Reinhold Co., 1971), Chap. 9&10.

[2] Elliott, R. S., Antenna theory and design (revised ed. ) (New Jersey: Wiley- Interscience, 2003) pp.440-453.

[3] Zhang, K and Li, D, Electromagnetic Theory for Microwaves and Optoelectronics (2nd ed. ) (New York: Springer, 2008) pp.401-472.

[4] Jackson, J. D, Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) pp.361-364.

[5] Griffiths, D. J, Introduction to Electrodynamics (3rd ed. ) (New Jersey: Prentice Hall, 1999) pp.409-410.

[6] Jackson, J. D, Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) pp.259-262.

[7] Griffiths, D. J. Introduction to Electrodynamics (3rd ed. ) (New Jersey: Prentice Hall, 1999) pp.347-355.

[8] Jackson, J. D. Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) p.364.

[9] Casimir, H. B. G. C, On the attraction between two perfectly conducting plates, Proc. Kon. Nederland. Akad. Wetensch. B51, 793-795(1948).

[10] Spamaay, M. J, The measurement of the Casimir force between two parallel metal plates, Physica. 24, 751–760 (1958).

[11] Lamoreaux, S. K, Demonstration of the Casimir Force in the 0. 6 to 6 µm Range, Phys. Rev. Lett. 78, 5–8 (1997).

[12] Bressi, G, Carugno, G, Onofrio, R and Ruoso, G, Measurement of the Casimir force between Parallel Metallic Surfaces, Phys. Rev. Lett. 88 , 041804 (2002).

DOI: https://doi.org/10.1103/physrevlett.88.041804

[13] Wang, Z. Y, Graphene, neutrino mass and oscillation, arXiv: 0909. 1856v2 [physics. gen-ph].

[14] Bugaev S P, Cherepenin V A, Kanavets V I, Klimov A I, Kopenkin A D, Koshelev V I, Popov V A and Slepkov A I, Relativistic multiwave Cherenkov generators, IEEE Trans . Plasma Science. 18, 525-536(1990).

DOI: https://doi.org/10.1109/27.55924

[15] Zhang, K and Li, D, Electromagnetic Theory for Microwaves and Optoelectronics (2nd ed. ) (Beijing: Publishing House of Electronics Industry Press, 2001) p.321(in Chinese).

[16] Goubau, G, Surface waves and their application to transmission lines, J. Appl. Phys. 21, 1119-1128 (1950).

[17] Grace, A. C and Lane, J. A, Surface-Wave Transmission Lines, Wireless. Engineer. 29, 230-231 (1952).

[18] Wang, K and Mittleman, D. M, Metal wires for terahertz wave guiding, Nature 432, 376-379 (2004).

DOI: https://doi.org/10.1038/nature03040

[19] Royer, D and Dieulesaint, E, Elastic Waves in Solids II: Generation Acousto-optic Interaction Applications (2nd ed. ) (New York: Springer, 2000) p.178.

[20] Griffiths, D. J, Introduction to Quantum Mechanics (2nd ed. ) (New Jersey: Prentice Hall, 2004), Chap. 2. 6; 2. 33.

[21] Jackson, J. D, Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) p.363.

[22] Greiner, W, Classical Electrodynamics (New York: Springer, 1998) pp.366-369.

[23] Feynman, R. P, Leighton, R. B and Sands, M, The Feynman lectures on physics (Vol. 2) ( Reading: Addison-Wesley, 1964) 24. 29~24. 31.

DOI: https://doi.org/10.1126/science.144.3616.280

[24] Jackson, J. D, Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) pp.600-603.

[25] Jackson, J. D Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) pp.5-9.

[26] Jackson, J. D, Classical Electrodynamics (3rd ed. ) (New York: John Wiely & Sons, 1999) p.313.

[27] Chen, H. C, Theory of Electromagnetic Waves: a coordinate-free approach (New York: McGraw-Hill, 1983) 7. 100~ 7. 101.

[28] Guan, H, Fundamental Concepts of Quantum Mechanics (Beijing: Higher Education Press, 1991) pp.70-71(in Chinese).

[29] Wichmann, E. H, Quantum Physics(Berkeley Physics Course Vol4) ( New York: McGrow Hill, 1971) pp.272-274.

[30] Pauli, W, Wave Mechanics(Pauli Lecture on Physics Vol5), (Cambridge: M.I.T. Press, 1973) §2 ( Received 21 April 2015; accepted 01 May 2015 ).

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