18. Use the definitions (Ax)² = (x) – (x)² and (Ap)² = (p) – (p? with the results of Problems 16 and 17 to show that ApAr > h/2.

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Answer number 18 in relation to question 16 and 17

16. Consider the wave function
Mx) = (a/m)" cxp(-ar12)
Calculate (x") for n = 1, 2. Can you quickly write down the result for (a")?
17. Calculate d(p) for the wave function in problem 16. Calculate ( p") for n = 1, 2.
18. Use the definitions (Ax)? = (x) – (x)* and (Ap)² = (p) – (p)² with the results of Problems 16
and 17 to show that ApAx > ħ/2.
Transcribed Image Text:16. Consider the wave function Mx) = (a/m)" cxp(-ar12) Calculate (x") for n = 1, 2. Can you quickly write down the result for (a")? 17. Calculate d(p) for the wave function in problem 16. Calculate ( p") for n = 1, 2. 18. Use the definitions (Ax)? = (x) – (x)* and (Ap)² = (p) – (p)² with the results of Problems 16 and 17 to show that ApAx > ħ/2.
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