This line of research began with Werner Heisenberg's matrix mechanics and in a more mathematically developed form with Pascual Jordan around 1933.
22.
Furthermore, Werner Heisenberg and Born had just recently published their trilogy of papers which launched the matrix mechanics formulation of quantum mechanics.
23.
Schr�dinger's wave mechanics developed separately from matrix mechanics until Schr�dinger and others proved that the two methods predicted the same experimental consequences.
24.
This quotation shows that the main idea of the Uncertainty Principle was an almost immediate consequence of the mathematics by which Heisenberg's matrix mechanics was created.
25.
In his " matrix mechanics, " various properties of subatomic particles could be computed _ but, disturbingly, the answers depended on the order of the calculations.
26.
To be more precise, already before Schr�dinger, the young postdoctoral fellow Werner Heisenberg invented his matrix mechanics, which was the first correct quantum mechanics the essential breakthrough.
27.
The wave mechanics picture of the uncertainty principle is more visually intuitive, but the more abstract matrix mechanics picture formulates it in a way that generalizes more easily.
28.
The algebra of observables in quantum mechanics is naturally an algebra of operators defined on a Hilbert space, according to Werner Heisenberg's matrix mechanics formulation of quantum theory.
29.
The matrix mechanics of Werner Heisenberg ( 1925 ) makes no mention of wave functions or similar concepts but was shown to be mathematically equivalent to Schr�dinger's theory.
30.
Sample entry : " THE WAVE EQUATION . 1926 Schroedinger finds the mathematical equation for the wave interpretation, and proves that wave and matrix mechanics are mathematically equivalent ."
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