A Quantum Mechanical Justification of Bohr Atomic Model

TL;DR

This paper provides a quantum mechanical foundation for Bohr's atomic model, justifying its assumptions and key results through quantum theory, especially regarding electron orbits and energy levels.

Contribution

It offers the first quantum mechanical justification of Bohr's assumptions and the radii relation used in calculating hydrogen atom energy levels.

Findings

Quantum mechanics justifies Bohr's non-radiating electron orbits.

The radii relation used in Bohr's model is derived from quantum principles.

Energy levels of hydrogen are explained through quantum theory.

Abstract

Bohr atomic model is based on the assumption that electrons on allowed quantized orbits do not radiate. Its main results include the values of the radii of circular quantized orbits and of the hydrogen atom energy levels. Quantum mechanical justifications of both his hypothesis and of the well known radii relation, which is used to compute the energy levels, are presented.