A question about Schrödinger's equation.

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SUMMARY

Schrödinger's equation is foundational to quantum mechanics, establishing that quantum systems operate on principles of probability. Max Born is credited with the significant insight that the wave function Ψ(x,y,z,t) relates to position probability, a concept he formalized in his 1926 paper. For this contribution, Born was awarded the Nobel Prize in Physics in 1954. His work clarified that the probability density is proportional to the square of the wave function, known as the Born rule.

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  • Understanding of quantum mechanics principles
  • Familiarity with wave functions and their mathematical representations
  • Knowledge of the historical context of quantum physics
  • Basic grasp of probability theory
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  • Study the derivation and implications of Schrödinger's equation
  • Research Max Born's contributions to quantum mechanics and the Born rule
  • Explore the relationship between wave functions and probability densities
  • Examine the historical development of quantum theory through key papers, including Born's 1926 publication
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Students of physics, researchers in quantum mechanics, and anyone interested in the foundational concepts of probability in quantum systems will benefit from this discussion.

Fuinne
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Hi,

So was Schrödinger's equation basically the birth of the idea that quantum mechanical systems work off probability? Also, I'm sure it's not Heisenberg, but I'm thinking of a physicist who took the wave function Ψ(x,y,z,t) and squared the absolute value of it, and I was wondering what his name was.

Thanks, and have a nice night,
 
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According to a note in Binney and Skinner, The Physics of Quantum Mechanics, it was Max Born who first suggested that the wave function was related to position probability:

For this insight Born won the 1954 Nobel Price for physics. In fact the text of the key paper (Born, M., Z. Physik, 37 863 (1926)) argues that ψ is the probability density, but a note in proof says “On more careful consideration, the probability is proportional to the square of ψ”.
 

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