CHEM 214 Lecture 12: Lecture 12
26 Jun 2016
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Lecture 12: stern-gerlach experiment jeudi 4 f vrier 2016. Now suppose we split along z, then x, then z again. By making a measurement along the x-axis, we have lost the information we had along the z-axis. The projection along x and z cannot be known simultaneously. If two observable (a and b) can be defined simultaneously then the order in which the measurements are performed should not matter. In other words, you should be able to measure a and then b or vice versa, both of those should give the same answer. The physical requirements and implications to measure two things at the same time should not matter, hence the order of the operators should not matter. The ability to define two observables simultaneously is evaluated using commutation relationships. The commutator of two operators a and b is defined as:
