1- Consider a state |y) = lø1) -l62)+103) which is given in terms of three orthonormal vectors 1), Iø2) and |03) of an operator A such that A|on) = 2n|Pn). Find the expectation value of A for the state ly).
1- Consider a state |y) = lø1) -l62)+103) which is given in terms of three orthonormal vectors 1), Iø2) and |03) of an operator A such that A|on) = 2n|Pn). Find the expectation value of A for the state ly).
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![1- Consider a state |w) = lø1) -lø2)+lø3) which is given in terms of three orthonormal
vectors ø1), lø2) and l03) of an operator A such that A|Øn) = 2n|¢n).
Find the expectation value of A for the state |w).
2- (a) Using [X, P] = ih, show that [X², P] = 2ihX and [ÂÂ, P²] = 2ihP.
(b) Show that [X?, P²] = 2ih(ih + 2PÂX).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F650a3f1b-d6c2-4327-8f11-fcb0e2b515d5%2F61ae4b68-1cf1-4b59-8856-d5ee83cea93e%2Fgr7n1e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1- Consider a state |w) = lø1) -lø2)+lø3) which is given in terms of three orthonormal
vectors ø1), lø2) and l03) of an operator A such that A|Øn) = 2n|¢n).
Find the expectation value of A for the state |w).
2- (a) Using [X, P] = ih, show that [X², P] = 2ihX and [ÂÂ, P²] = 2ihP.
(b) Show that [X?, P²] = 2ih(ih + 2PÂX).
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