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Quantum and Classical Approach Applied to the Motion of a Celestial Body in the Solar System
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作者 Stanisław Olszewski 《Journal of Modern Physics》 2016年第14期1901-1908,共8页
According to the classical mechanics the energy of a celestial body circulating in the solar system is a constant term. This energy is defined by the masses product of the larger and smaller body entering into a mutua... According to the classical mechanics the energy of a celestial body circulating in the solar system is a constant term. This energy is defined by the masses product of the larger and smaller body entering into a mutual attraction as well as the size of the major semiaxis characteristic for the corresponding Kepler orbit. A special situation concerns the planet interaction with the Sun because of a systematic decrease of the Sun mass due to the luminosity effect. The aim of the paper is to point out that even in the case of perfectly constant interacting masses the energy of the moving body should decrease when a quantum treatment of the body motion is considered. The rate of the energy decrease is extremely small, nevertheless it gives a shortening of the distance between the interacting bodies leading to a final effect of a touch of the larger body and a smaller one. 展开更多
关键词 Solar System classical Mechanics and quantum theory Emission Rate of Energy by a Moving Planet The Earth Planet Taken as an Example
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Theoretical and Experimental Values for the Rydberg Constant Do Not Match
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作者 Koshun Suto 《Journal of Applied Mathematics and Physics》 2021年第8期1993-2003,共11页
In many areas of physics and chemistry, the Rydberg constant is a fundamental physical constant that plays an important role. It comes into play as an indispensable physical constant in basic equations for describing ... In many areas of physics and chemistry, the Rydberg constant is a fundamental physical constant that plays an important role. It comes into play as an indispensable physical constant in basic equations for describing natural phenomena. The Rydberg constant appears in the formula for calculating the wavelengths in the line spectrum emitted from the hydrogen atom. However, this Rydberg wavelength formula is a nonrelativistic formula derived at the level of classical quantum theory. In this paper, the Rydberg formula is rewritten as a wavelength formula taking into account the theory of relativity. When this is done, we come to an unexpected conclusion. What we try to determine by measuring spectra wavelengths is not actually the value of the Rydberg constant <em>R</em><sub>∞</sub> but the value <em>R</em><sub><em>n</em>,<em>m</em></sub> of Formula (18). <em>R</em><sub>∞</sub> came into common use in the world of nonrelativistic classical quantum theory. If the theory of relativity is taken into account, <em>R</em><sub>∞</sub> can no longer be regarded as a physical constant. That is, we have continued to conduct experiments to this day in an attempt to determine the value of a physical constant, the Rydberg constant, which does not exist in the natural world. 展开更多
关键词 Rydberg Constant Rydberg Formula classical quantum theory Einstein’s Energy-Momentum Relationship Suto’s Energy-Momentum Relationship
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The Physical Constant Called the Rydberg Constant Does Not Exist
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作者 Koshun Suto 《Journal of Applied Mathematics and Physics》 2023年第9期2621-2629,共9页
In classical quantum theory, the Rydberg constant is a fundamental physical constant that plays an important role. It comes into play as an indispensable physical constant in basic formulas for describing natural phen... In classical quantum theory, the Rydberg constant is a fundamental physical constant that plays an important role. It comes into play as an indispensable physical constant in basic formulas for describing natural phenomena. However, relativity is not taken into account in this Rydberg formula for wavelength. If the special theory of relativity is taken into account, R<sub>∞</sub> can no longer be regarded as a physical constant. That is, we have continued to conduct experiments to this day in an attempt to determine the value of a physical constant, the Rydberg constant, which does not exist in the natural world. 展开更多
关键词 Rydberg Constant Rydberg Formula classical quantum theory Einstein’s Energy-Momentum Relationship
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An Energy Formula That Is Physically Easier to Understand than E = hν
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作者 Koshun Suto 《Journal of Applied Mathematics and Physics》 2023年第12期3909-3913,共5页
This paper rewrites the famous energy formula of quantum theory, E = hν, as a formula that is physically easier to understand. If we let m<sub>e</sub> be the rest mass of the electron, c the speed of ligh... This paper rewrites the famous energy formula of quantum theory, E = hν, as a formula that is physically easier to understand. If we let m<sub>e</sub> be the rest mass of the electron, c the speed of light in a vacuum, and λ<sub>c</sub> the Compton wavelength of the electron, then the product of the three physical constants, m<sub>e</sub>cλ<sub>c</sub>, matches the value of the Planck constant. In the usual interpretation, h is regarded as a universal constant on a par with c. However, this paper holds that, contrary to the historical viewpoint, the Planck constant is logically nothing more than replacement of me</sub>cλ<sub>c</sub> with the alphabetic letter h. Thus, this paper looks for an energy formula that does not contain h. E = hν is a formula that was assumed at the beginning, and then subsequently verified through experiment. The formula was not derived logically. In contrast, the energy formula derived in this paper can be derived logically. The formula derived in this paper also has a clear physical meaning, and it can be concluded that it is a superior formula to E = hν. 展开更多
关键词 Einstein-de Broglie’s Relation Planck Constant Electron’s Compton Wavelength classical quantum theory
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Improvement in the calculation of anti-Stokes energy transfer and experimental justification based on Er_(0.01)Yb_xY_(1 0.01 x)VO_4 crystal
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作者 陈晓波 卢建 +5 位作者 张蕴芝 徐小灵 冯宝华 王策 Gregory J. Salamo 杨国建 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第9期604-611,共8页
The improvement on the calculation of anti-Stokes energy transfer rate is studied in the present work. The additional proportion coefficient between Stokes and anti-Stokes light intensities of quantum Raman scattering... The improvement on the calculation of anti-Stokes energy transfer rate is studied in the present work. The additional proportion coefficient between Stokes and anti-Stokes light intensities of quantum Raman scattering theory as compared with the classical Raman theory is introduced to successfully describe the anti-Stokes energy transfer. The theoretical formula for the improvement on the calculation of anti-Stokes energy transfer rate is derived for the first time in this study. The correctness of introducing coefficient exp{△E/kT} from well-known Raman scatter theory is demonstrated also. Moreover, the experimental lifetime measurement in Er0.01YbxY1-0.01-xVO4 crystal is performed to justify the validity of our important improvement in the original phonon-assisted energy transfer theory for the first time. 展开更多
关键词 improvement of anti-Stokes energy transfer Raman scattering quantum and classical theory Er0.01YbxY1-0.01-xVO4 crystal
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