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arp777
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So, my problem statement is:
Suppose that two operators P and Q satisfy the commutation relation [Q,P] = Q .
Suppose that ψ is an eigenfunction of the operator P with eigenvalue p. Show that Qψ is also an eigenfunction of P, and find its eigenvalue.
This shouldn't be too difficult, but I'm wrestling with this one. I can't seem to figure out the significance of the commutation relation in the prompt, or whether or not it's saying anything particularly relevant to finding the eigenvalue of P..
Any help is greatly appreciated.
Suppose that two operators P and Q satisfy the commutation relation [Q,P] = Q .
Suppose that ψ is an eigenfunction of the operator P with eigenvalue p. Show that Qψ is also an eigenfunction of P, and find its eigenvalue.
This shouldn't be too difficult, but I'm wrestling with this one. I can't seem to figure out the significance of the commutation relation in the prompt, or whether or not it's saying anything particularly relevant to finding the eigenvalue of P..
Any help is greatly appreciated.