Outcome of a single experiment

Outcome of a single experiment - the experimentally...

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Outcome of a single experiment The outcome of a measurement of any quantity can only be the set of natural values of such a quantity. These are just the eigenvalues of (8.10) Is this immediately obvious from the formalism? The short answer is no, but suppose we measure the value of the obervable for a wave function known to be an eigenstate. The outcome of a measurement better be this eigenvalue and nothing else. This leads us to surmise that this rule holds for any wave function, and we get the answer we are looking for. This also agrees with
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Unformatted text preview: the experimentally observed quantisation of observables such as energy. Eigenfunctions of The operator multiplies with . Solving the equation (8.11 ) we find that the solution must be exactly localised at . The function that does that is called a Dirac function . This is defined through integration, (8.12 ) and is not normalisable, (8.13 ) © 2005 Niels Walet, University of Manchester...
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This note was uploaded on 11/09/2011 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.

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