Linear operators play an important role in the quantum mechanical description of matter. Which of the following is true of all linear operators, A and B? A[k f(x)]=k Ã(x) A[Ã(x)]=Ã(x) +à (x) A[Bƒ(x)]=B[Ã(x)] à ƒ(x) =ƒ(x)

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Linear operators play an important role in the quantum mechanical description of matter. Which of the following is true
of all linear operators, A and B?
A[k f(x)]=kà (x)
Ã[Ã (x)]=Ã(x) +Ã (x)
A[Bf(x)]=B[Ã(x)]
○ AB f(x)=B A f(x)
Transcribed Image Text:Linear operators play an important role in the quantum mechanical description of matter. Which of the following is true of all linear operators, A and B? A[k f(x)]=kà (x) Ã[à (x)]=Ã(x) +à (x) A[Bf(x)]=B[Ã(x)] ○ AB f(x)=B A f(x)
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