Max Born et la mécanique des matrices

2020 ◽  
pp. 128-129
Keyword(s):  
Max Born

Introductory Considerations

2018 ◽  
Author(s):  
John von Neumann
Keyword(s):  
Quantum Theory ◽  
Theoretical Description ◽  
Statistical Interpretation ◽  
Wave Mechanics ◽  
Transformation Theory ◽  
Max Born ◽  
Erwin Schrödinger ◽  
Physical Problems ◽  
Starting Point ◽  
New System

This chapter presents the origins of the transformation theory and related concepts. It shows how, in 1925, a procedure initiated by Werner Heisenberg was developed by himself, Max Born, Pascual Jordan, and a little later by Paul Dirac, into a new system of quantum theory—the first complete system of quantum theory which physics has possessed. A little later Erwin Schrödinger developed the “wave mechanics” from an entirely different starting point. This accomplished the same ends, and soon proved to be equivalent to the Heisenberg, Born, Jordan, and Dirac system. On the basis of the Born statistical interpretation of the quantum theoretical description of nature, it was possible for Dirac and Jordan to join the two theories into one, the “transformation theory,” in which they make possible a grasp of physical problems which is especially simple mathematically.

Born’s Interpretation of the Wavefunction

2020 ◽  
pp. 111-132
Author(s):  
Jim Baggott
Keyword(s):  
Transition Probability ◽  
Electrical Charge ◽  
Complex Conjugate ◽  
Wave Mechanics ◽  
Wolfgang Pauli ◽  
Max Born ◽  
Specific Position

Schrödinger hoped that his wave mechanics would help to re-establish some sense of ‘visualizability’ of the physics going on inside the atom. In searching for a suitable interpretation of the wavefunction, he focused on the density of electrical charge, which he associated with the wavefunction ψ‎ multiplied by its complex conjugate. Hidden in his words is the interpretation that would eventually come to dominate our understanding of the wavefunction. Max Born had no hesitation in concluding that the only way to reconcile wave mechanics with the particle description is to interpret the modulus-square of the wavefunction as a probability density. It was Wolfgang Pauli who proposed to interpret this not only as a transition probability or as the probability for the system to be in a specific state, as Born had done, but as the probability of ‘finding’ the electron at a specific position in its orbit inside an atom.

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