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 Exercise [21.16] 
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Joined: 03 Jun 2010, 15:18
Posts: 136
Post Exercise [21.16]
Attached my solution.


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19 Sep 2010, 14:35

Joined: 12 Jul 2010, 07:44
Posts: 154
Post Re: Exercise [21.16]
Interestingly, this means that \psi can't be normalized... or rather that it should be normalized only once at t=0, and not re-normalized afterwards.


02 Sep 2012, 18:37

Joined: 03 Jun 2010, 15:18
Posts: 136
Post Re: Exercise [21.16]
Yes: if a single particle state can be normalised, then the probability to find the particle somewhere in space is 1 at all times, i.e. the particle existence is conserved.
Hence, for single particle states, normalisability implies particle conservation; when a particle can decay, particle conservation is lost, therefore the function cannot be normalised.
To recover normalisability, we need to include in the state also the particles generated by the decay and to allow a number of particles variable with time; and this would lead us to quantum fields.


03 Sep 2012, 13:55
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