Bohr's atomic model revisited

TL;DR

This paper reexamines Bohr's atomic model, suggesting an alternative approach focusing on electron stationary orbits and harmonic oscillators, and explores the implications of this perspective.

Contribution

It proposes a different analytical approach to Bohr's model by emphasizing harmonic oscillators and Planck's quantization, offering new insights into atomic structure.

Findings

Alternative interpretation of Bohr's model using harmonic oscillators

Implications of focusing on stationary electron orbits

Potential new explanations for hydrogen spectrum

Abstract

Bohr's atomic model, its relationship to the radiation spectrum of the hydrogen atom and the inherent hypotheses are revisited. It is argued that Bohr could have adopted a different approach, focusing his analyzes on the stationary orbit of the electron and its decomposition on two harmonic oscillators and then imposing, as actually he did, Planck's quantization for the oscillators' energies. Some consequences of this procedure are examined.