Abstract
Definitions of the mechanical parameters entering the Bohr model of the hydrogen atom allowed us to calculate the time intervals connected with the electron transitions between the nearest-neighbouring energy levels in the atom. This is done in a strictly non-probabilistic way. The time results are compared with those derived earlier on the basis of the classical Joule-Lenz law for the energy emission adapted to the case of the electron transfer in the quantum systems. A similar formalism has been next applied to the harmonic oscillator and a particle moving in the one-dimensional potential box.
Highlights
Following the fundamental paper by Einstein [1] [2], a probabilistic approach to the intensity of the electron transitions in the atomic systems has been mainly applied: this has been done in the old as well as the modern quantum theory [2] [3] [4]
Definitions of the mechanical parameters entering the Bohr model of the hydrogen atom allowed us to calculate the time intervals connected with the electron transitions between the nearest-neighbouring energy levels in the atom
The aim of the present paper is to demonstrate that results for ∆t much similar to (6) can be obtained by a direct application of the mechanical parameters entering the Bohr atomic model [11]
Summary
Following the fundamental paper by Einstein [1] [2], a probabilistic approach to the intensity of the electron transitions in the atomic systems has been mainly applied: this has been done in the old as well as the modern quantum theory [2] [3] [4]. The change of velocity due to the electron transition between the levels n + 1 and n is given by the formula This result for ∆t differs from that calculated in (6) solely by the factor of 2
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