In 1925, Born and Werner Heisenberg, who got his doctorate from Sommerfeld in 1923 and completed his Habilitation under Born in 1924, introduced the matrix mechanics formulation of quantum mechanics.
32.
Jeff tells the circle that the experience proves Cleindori was right that matrix mechanics are a science, not a mystical art, and that a keeper need not be a cloistered virgin.
33.
In the following discussion, for the sake of clarity, the differentiation will be performed on the classical variables, and the transition to matrix mechanics will be done afterwards, guided by the correspondence principle.
34.
In May 1926, Schr�dinger proved that Heisenberg's matrix mechanics and his own wave mechanics made the same predictions about the properties and behaviour of the electron; mathematically, the two theories had an underlying common form.
35.
Unfortunately, looking at degenerate energy levels has a lot of matrix mechanics and linear algebra on eigenstates and such, but not a lot of explanations on how degeneracy affects the thermodynamics / kinetics of bond formation / bond-breaking.
36.
Then Born and Jordan published an explicitly matrix theory of quantum mechanics, based on, but in form distinctly different from, Heisenberg's original quantum mechanics; it is the Born and Jordan matrix theory that is today called matrix mechanics.
37.
Also, in early 1926, Erwin Schr�dinger, at the University of Zurich, began to publish his quintet of papers which launched the wave mechanics formulation of quantum mechanics and showed that the wave mechanics and matrix mechanics formulations were equivalent.
38.
His work was a key aspect of Hermann Weyl and John von Neumann's work on the mathematical equivalence of Werner Heisenberg's matrix mechanics and Erwin Schr�dinger's wave equation and his namesake Hilbert space plays an important part in quantum theory.
39.
How much of the topic of matrix mechanics is right for an introduction, and how much should be dismissed by a simple statement such as " One method for solving quantum-mechanics problems uses matrices and is due to Heisenberg . "?
40.
In the article, Heisenberg credited Born and Jordan for the final mathematical formulation of matrix mechanics and Heisenberg went on to stress how great their contributions were to quantum mechanics, which were not " adequately acknowledged in the public eye ."
