New PDF release: Formation and Logic of Quantum Mechanics: Formation of

By Masayuki Nagasaki, Mituo Taketani

This ebook analyzes the elaborate logical technique by which the quantum concept was once constructed, and indicates that the quantum mechanics therefore verified is ruled through stereo-structural common sense. the strategy of study is predicated on Mituo Taketani's three-stage conception of clinical cognition, which was once offered and constructed in shut reference to Yukawa's thought of the meson. based on the three-stage idea, clinical cognition proceeds via a sequence of coiling turns of the phenomenological, substantialistic and essentialistic levels. The outdated quantum mechanics is proven to be in a substantialistic degree, via the quantum mechanics within the corresponding essentialistic level.

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For the cathode ray luminescence, which is the inverse process of the photoelectric effect, he assumes the relation IIE + P'^ R(3v, from an analogous consideration. 44) For the substances studied by Lenard IIE is always considerably greater than Rf3v. That is, the voltage which the cathode rays must pass through in order to be able to generate visible light, amounts to several hundred volts in some cases and to several thousand volts in other cases. Einstein says that "it is therefore assumed that the kinetic energy of an electron is used for the generation of many energy quanta of light".

Though the law of energy distribution can be immediately determined, if the entropy 5 of a linear resonator oscillating in response to radiation is known as a function of its energy of oscillation, the law of increase of entropy does not suffice alone to determine this function completely. Planck derives it by calculating in two ways the infinitesimal increase in the entropy of a system of n identical resonators in a stationary radiation field. Now, suppose that a resonator in a stationary radiation field has the energy U = U0 + AU, (35) which is different from its stationary value UQ by AC/.

6 (57) c Rayleigh-Jean's formula contains a great difficulty. In other words, this formula implies that black body radiation has a great deal of energy at high frequencies even if the temperature is very low, so that any body of low temperature should appear brilliant, as is seen from the equation of the total energy 17 ' L — kTdX = oo. (58) This difficulty is called the ultraviolet catastrophe. 18) It seems that Rayleigh thought that the exponential factor could not be deduced from the classical theory.

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