- #1
Paintjunkie
- 50
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QUESTION
A quantum mechanical system has a complete orthonormal set of energy eigenfunctions,
|n> with associate eigenvalues, En. The operator [itex]\widehat{A}[/itex] corresponds to an observable such that
Aˆ|1> = |2>
Aˆ|2> = |1>
Aˆ|n> = |0>, n ≥ 3
where |0> is the null ket. Find a complete orthonormal set of eigenfunctions for
[itex]\widehat{A}[/itex]. The observable is measured and found to have the value +1. The system is unperturbed and then after a time t is remeasured . Calculate the probability
that +1 is measured again.
I would really appreciate any guidance on this. I cannot find this in my book at all. I know my teacher has spoken about it bra-ket notation and such. but it never really made sense. where can I find examples of problems like this but not this.
A quantum mechanical system has a complete orthonormal set of energy eigenfunctions,
|n> with associate eigenvalues, En. The operator [itex]\widehat{A}[/itex] corresponds to an observable such that
Aˆ|1> = |2>
Aˆ|2> = |1>
Aˆ|n> = |0>, n ≥ 3
where |0> is the null ket. Find a complete orthonormal set of eigenfunctions for
[itex]\widehat{A}[/itex]. The observable is measured and found to have the value +1. The system is unperturbed and then after a time t is remeasured . Calculate the probability
that +1 is measured again.
I would really appreciate any guidance on this. I cannot find this in my book at all. I know my teacher has spoken about it bra-ket notation and such. but it never really made sense. where can I find examples of problems like this but not this.