question papersQuantum mechanicsQuantum mechanics I (paper)#

Quantum mechanics I (paper)#

1.Consider the following question
|ψ>=5i
2
-i

a .Find |ψ>* and corresponding bra vector.
b. Is |ψ> is normalized. If not ,normalize it .
It is to keep in mind that if ket vector is represented by column matrix then bra vector is represented by row matrix

It is to keep in mind that if ket vector is represented by column matrix then bra vector is represented by row matrix

2. the classical orbital angular momentum is represented by L=r x p find its oprator representation in quantum mechanics .

  1. show that exp(-x^2/2) is an eign function of the operator Q= d^2/dx^2-x^2 .find its eign value
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