{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Outcome of a single experiment

Outcome of a single experiment - the experimentally...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}