跳至主要内容

De Broglie’s Velocity of Transition between Quantum Levels and the Quantum of the Magnetic Spin Moment Obtained from the Uncertainty Principle for Energy and Time

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52201#.VIj7tcnQrzE

Author(s) 
The De Broglie’s approach to the quantum theory, when combined with the conservation rule of momentum, allows one to calculate the velocity of the electron transition from a quantum state n to its neighbouring state as a function of n. The paper shows, for the case of the harmonic oscillator taken as an example, that the De Broglie’s dependence of the transition velocity on n is equal to the n-dependence of that velocity calculated with the aid of the uncertainty principle for the energy and time. In the next step the minimal distance parameter provided by the uncertainty principle is applied in calculating the magnetic moment of the electron which effectuates its orbital motion in the magnetic field. This application gives readily the electron spin magnetic moment as well as the quantum of the magnetic flux known in superconductors as its result.
Cite this paper
Olszewski, S. (2014) De Broglie’s Velocity of Transition between Quantum Levels and the Quantum of the Magnetic Spin Moment Obtained from the Uncertainty Principle for Energy and Time. Journal of Modern Physics, 5, 2022-2029. doi: 10.4236/jmp.2014.518198
 

[1] De Broglie, L. (1923) Comptes Rendus, 177, 507-510.
[2] De Broglie, L. (1923) Comptes Rendus, 177, 548-550.
[3] De Broglie, L. (1923) Comptes Rendus, 177, 630-632.
[4] De Broglie, L. (1924) Philosophical Magazine, 47, 446-458.
http://dx.doi.org/10.1080/14786442408634378
[5] Jammer, M. (1966) The Conceptual Development of Quantum Mechanics. McGraw-Hill, New York.
[6] Schiff, L.I. (1968) Quantum Mechanics. 3rd Edition, McGraw-Hill, New York.
[7] Olszewski, S. (2011) Journal of Modern Physics, 2, 1305-1309.
http://dx.doi.org/10.4236/jmp.2011.211161
[8] Olszewski, S. (2012) Journal of Modern Physics, 3, 217-220.
http://dx.doi.org/10.4236/jmp.2012.33030
[9] Olszewski, S. (2012) Quantum Matter, 1, 127-133.
http://dx.doi.org/10.1166/qm.2012.1010
[10] Olszewski, S. (2014) Journal of Modern Physics, 5, 1264-1271.
http://dx.doi.org/10.4236/jmp.2014.514127
[11] Olszewski, S. (2015) Quantum Matter, in Press.
[12] Ruark, A.E. (1928) Proceedings of the National Academy of Sciences of the United States of America, 14, 322-328.
http://dx.doi.org/10.1073/pnas.14.4.322
[13] Flint, H.E. (1928) Proceedings of the Royal Society A, London, 117, 630-637. http://dx.doi.org/10.1098/rspa.1928.0025
[14] Flint, H.E. and Richardson, O.W. (1928) Proceedings of the Royal Society A, London, 117, 637-649.
http://dx.doi.org/10.1098/rspa.1928.0026
[15] Landau, L.D. and Lifshitz, E.M. (1969) Mechanics, Electrodynamics. Izd. Nauka, Moscow.
[16] Landau, L.D. and Lifshitz, E.M. (1972) Quantum Mechanics. Izd. Nauka, Moscow.
[17] Bethe, H.A. (1947) Elementary Nuclear Theory. Wiley, New York.
[18] Sommerfeld, A. (1931) Atombau und Spektrallinien. Vol. 1, 5th Edition, Vieweg, Braunschweig.                                       eww141211lx
[19] Kittel, C. (1987) Quantum Theory of Solids. 2nd Edition, Wiley, New York.

评论

此博客中的热门博文

A Comparison of Methods Used to Determine the Oleic/Linoleic Acid Ratio in Cultivated Peanut (Arachis hypogaea L.)

Cultivated peanut ( Arachis hypogaea L.) is an important oil and food crop. It is also a cheap source of protein, a good source of essential vitamins and minerals, and a component of many food products. The fatty acid composition of peanuts has become increasingly important with the realization that oleic acid content significantly affects the development of rancidity. And oil content of peanuts significantly affects flavor and shelf-life. Early generation screening of breeding lines for high oleic acid content greatly increases the efficiency of developing new peanut varieties. The objective of this study was to compare the accuracy of methods used to classify individual peanut seed as high oleic or not high oleic. Three hundred and seventy-four (374) seeds, spanning twenty-three (23) genotypes varying in oil composition (i.e. high oleic (H) or normal/not high oleic (NH) inclusive of all four peanut market-types (runner, Spanish, Valencia and Virginia), were individually tested ...

Location Optimization of a Coal Power Plant to Balance Costs against Plant’s Emission Exposure

Fuel and its delivery cost comprise the biggest expense in coal power plant operations. Delivery of electricity from generation to consumers requires investment in power lines and transmission grids. Placing a coal power plant or multiple power plants near dense population centers can lower transmission costs. If a coalmine is nearby, transportation costs can also be reduced. However, emissions from coal plants play a key role in worsening health crises in many countries. And coal upon combustion produces CO 2 , SO 2 , NO x , CO, Metallic and Particle Matter (PM10 & PM2.5). The presence of these chemical compounds in the atmosphere in close vicinity to humans, livestock, and agriculture carries detrimental health consequences. The goal of the research was to develop a methodology to minimize the public’s exposure to harmful emissions from coal power plants while maintaining minimal operational costs related to electric distribution losses and coal logistics. The objective was...

Evaluation of the Safety and Efficacy of Continuous Use of a Home-Use High-Frequency Facial Treatment Appliance

At present, many home-use beauty devices are available in the market. In particular, many products developed for facial treatment use light, e.g., a flash lamp or a light-emitting diode (LED). In this study, the safety of 4 weeks’ continuous use of NEWA TM , a high-frequency facial treatment appliance, every alternate day at home was verified, and its efficacy was evaluated in Japanese individuals with healthy skin aged 30 years or older who complained of sagging of the facial skin.  Transepidermal water loss (TEWL), melanin levels, erythema levels, sebum secretion levels, skin color changes and wrinkle improvement in the facial skin were measured before the appliance began to be used (study baseline), at 2 and 4 weeks after it had begun to be used, and at 2 weeks after completion of the 4-week treatment period (6 weeks from the study baseline). In addition, data obtained by subjective evaluation by the subjects themselves on a visual analog scale (VAS) were also analyzed. Fur...