Wavefunction - In quantum mechanics ``observables are often...

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Wavefunction The detailed statement is that: for every physical system there exists a wave function, a function of the parameters of the system (coordinates and such) and time, from which the outcome of any experiment can be predicted. In these lectures I will not touch on systems that depend on other parameters than coordinates, but examples are known, such as the spin of an electron, which can be up or down, and is not like a coordinate at all. Observables In classical mechanics ``observables'' (the technical term for anything that can be measured) are represented by numbers. Think e.g., of
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Unformatted text preview: , , , , , , , . ... In quantum mechanics ``observables'' are often quantised, they cannot take on all possible values: how to represent such quantities? We have already seen that energy and momentum are represented by operators, (8.1) and (8.2) Let me look at the Hamiltonian, the energy operator. We know that its normalisable solutions (eigenvalues) are discrete. (8.3) The numbers are called the eigenvalues, and the functions the eigenfunctions of the operator . Our postulate says that the only possible outcomes of any experiment where we measure energy are the values !...
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