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DuckAmuck

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Thanks.

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- Thread starter DuckAmuck
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In summary, the "rule" that the wavefunction of a particle times its complex conjugate is a probability density is essentially a postulate. It has been motivated by analogy, specifically in the case of a double slit experiment with light. However, there is no derivation of the rule yet and it is not clear why the probability density is not equal to |wavefunction|^4 or some other even number. Further analysis and research may provide a better understanding of the Born rule.

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DuckAmuck

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Thanks.

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Mute

Homework Helper

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There may be more careful analyses that motivate the Born rule better, but I'm not aware of them. See the wikipedia page for more information (and links to more).

Probability density is a measure of the likelihood that a certain event will occur. In the context of quantum mechanics, it refers to the probability of finding a particle in a particular location within a given space.

A wavefunction is a mathematical representation of the state of a quantum system. It describes the probability amplitude of a particle at any given point in space and time.

This is a fundamental principle of quantum mechanics known as the Born rule. It states that the probability of finding a particle at a specific location is equal to the square of the magnitude of the wavefunction at that point.

The wavefunction contains information about the position, momentum, and other physical properties of a particle. It can be used to calculate the probability of a particle having a certain position or momentum at a given time.

Yes, according to the Schrödinger equation, the wavefunction can change over time as the quantum system evolves. This allows us to make predictions about the behavior of particles in quantum systems.

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