
#1
Aug1310, 01:40 AM

P: 139

In my terminal exam I was asked to prove it that the parity operation commutes with Hermitian operator? I wonder how can we show that? coz we can only show that the parity operator is hermitian? We haven't got the value of hermitian operator at all?




#2
Aug1310, 02:07 AM

P: 280

On wave functions the parity operator acts something like
[tex]P\psi(x)=\eta\psi(x)[/tex] where \eta is a phase factor independent of x. Now it should be easy to prove all the commutation relations you need. 



#3
Aug1310, 02:20 AM

P: 139

Pls Can you show it to me how?




#4
Aug1310, 02:36 AM

P: 280

What kind of question is it?
I can try, but first you have to tell me which is the operator you want to calculate the commutator with parity.




#5
Aug1310, 03:17 AM

P: 139

Hermitian operator




#6
Aug1310, 04:24 AM

P: 280





#7
Aug1310, 07:23 AM

P: 139

So, wasn't the question a wrong one?




#8
Aug1310, 08:19 AM

P: 133

If it really implied that the parity operator commutes with all Hermitian operators, then yes, it was wrong.



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