Abstract
A transformation of the electron states—say those enclosed in a potential box—into the de Broglie waves done in the paper, enabled us to calculate the energy change between two quantum levels as a function of the specific heat and difference of the temperature between the states. In consequence, the energy difference and that of entropy between the levels could be examined in terms of the appropriate classical parameters. In the next step, the time interval necessary for the electron transition between the levels could be associated with the classical electrodynamical parameters like the electric resistance and capacitance connected with the temporary formation of the electric cell in course of the transition. The parameters characterizing the mechanical inertia of the electron were next used as a check of the electrodynamical formulae referring to transition.
Highlights
A transformation of the electron states—say those enclosed in a potential box—into the de Broglie waves done in the paper, enabled us to calculate the energy change between two quantum levels as a function of the specific heat and difference of the temperature between the states
The spectacular results obtained by Planck at the very beginning of the quantum theory allowed him to couple the energy changes of the quantum oscillators with the temperature and entropy
By assuming the conservation of energy, the electron states enclosed in a one-dimensional potential box are transformed into the de Broglie waves having definite frequencies in time
Summary
The spectacular results obtained by Planck (see e.g. [1]) at the very beginning of the quantum theory allowed him to couple the energy changes of the quantum oscillators with the temperature and entropy. A step forwards was here the wave functions of the stationary states applied in calculating the transition probabilities between different quantum levels. Another feature of the probabilistic Einstein theory was the assumption that a large, though rather undefined, number of the quantum objects should enter a given transition. This difficulty seems to be not involved in the Planck’s approach where the number of the states which participate in transition can be definited and not necessarily large. An analysis of the classical physical parameters of mechanics, thermodynamics and electrodynamics which can be connected with the transition seems to be of use
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