lpetrich
Contributor
Max Born
That interpretation: (probability density) = absolute square of (wavefunction)
Absolute square = square of absolute value
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He is also the inventor of the "Born approximation" for field scattering problems, especially in quantum mechanics. It consists of using the incident field at the scatterer -- it's essentially a lowest-order approximation.
It's something like a classical-mechanics "flyby approximation", as it might be called, using straight-line travel in the force on an object and then integrating.
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The Born-Oppenheimer approximation is also named after him. It's another lowest-order approximation, but for calculating the behavior of molecules. In it, one fixes the nuclei and calculates the electrons' wavefunctions. One repeats that with different positions of the nuclei, getting a potential-energy function for them. One can then calculate the behavior of the nuclei.
This is justified because the electrons move much faster than the nuclei, and as the nuclei move, the electrons stay close to their fixed-nucleus wavefunctions.
Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 1930s. Born won the 1954 Nobel Prize in Physics for his "fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function".[2][3][4][5]
That interpretation: (probability density) = absolute square of (wavefunction)
Absolute square = square of absolute value
-
He is also the inventor of the "Born approximation" for field scattering problems, especially in quantum mechanics. It consists of using the incident field at the scatterer -- it's essentially a lowest-order approximation.
It's something like a classical-mechanics "flyby approximation", as it might be called, using straight-line travel in the force on an object and then integrating.
-
The Born-Oppenheimer approximation is also named after him. It's another lowest-order approximation, but for calculating the behavior of molecules. In it, one fixes the nuclei and calculates the electrons' wavefunctions. One repeats that with different positions of the nuclei, getting a potential-energy function for them. One can then calculate the behavior of the nuclei.
This is justified because the electrons move much faster than the nuclei, and as the nuclei move, the electrons stay close to their fixed-nucleus wavefunctions.