This preview shows page 1. Sign up to view the full content.
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
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
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.
 Fall '10
 DavidJudd
 Physics

Click to edit the document details