Abstract
The energy emitted by an electron in course of its transition between two quantum levels can be considered as a dissipated energy. This energy is obtained within a definite interval of time. The problem of the size of the time interval necessary for transitions is examined both on the ground of the quantum approach as well as classical electrodynamics. It is found that in fact the emission time approaches the time interval connected with acceleration of a classical velocity of the electron particle from one of its quantum levels to a neighbouring one.
Highlights
Planck’s Approach to an Electron Transition and Its DifficultyThe phenomenon of the electron transitions between quantum levels is basic for the quantum theory
The point is that the change of the electron energy in course of its transition between the quantum levels is accompanied by a change ∆v of the velocity which the electron has along its path
In his derivation of the formula (3) applied in the present paper, Einstein [4] has pointed out that statistical considerations supplemented by classical physics were necessary to obtain that formula
Summary
The phenomenon of the electron transitions between quantum levels is basic for the quantum theory. In accordance with the statistical background of the energy spectrum of the black-body radiation the problem of ∆t has not been examined for an individual transition between separate quantum levels, but approached on the basis of a probabilistic analysis of the population number of the quantum states forming the interval ∆E. This kind of reasoning, characteristic already for the old quantum theory [3] [4], has been prolongated and extended in case of quantum mechanics; see e.g. A comparison of the time rate of energy emission calculated according to the method presented above with the quantum-mechanical method is done in [23]
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