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A brief history of the mathematical equivalence between the two quantum mechanics

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Author(s): Carlos M. Madrid Casado

Journal: Latin-American Journal of Physics Education
ISSN 1870-9095

Volume: 2;
Issue: 2;
Start page: 152;
Date: 2008;
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Keywords: Matrix mechanics | wave mechanics | mathematical equivalence

ABSTRACT
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, Schrödinger 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 werevery different. Schrödinger thought that the empirical equivalence could be explained by means of a proof of mathematical equivalence.
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