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Lecture notes in physics

A Brief Pre-history of Matrix Mechanics and O(4) Symmetry of the Hydrogen Atom

Pankaj Sharan

Published Jan 1, 2023• 0 citations
Publisher
DOI
10.1007/978-3-031-35962-0_16

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Latin American journal of physics education•Jan 1, 2008•13 citations
The aim of this paper is to give a brief account of the development of the mathematical equivalence of quantum mechanics. In order to deal with atomic systems, Heisenberg developed matrix mechanics in 1925. Some time later, in the winter of 1926, Schrodinger established his wave mechanics. In the spring of 1926, quantum physicists had two theoretical models that allowed them to predict the same behaviour of the quantum systems, but both of them were very different. Schrodinger thought that the empirical equivalence could be explained by means of a proof of mathematical equivalence.