Consider the localized wavefunction given by 4(x) = e-αx². Use the definitions given in Lesson 1B for x and p and evaluate the indicated operations on this function. (a) Evaluate ✩ p²(x). (b) Evaluate ô²â ½(x). (c) Using the results from parts (a) and (b), determine the net effect of the operation represented by (x p² - p²x) y(x).
Consider the localized wavefunction given by 4(x) = e-αx². Use the definitions given in Lesson 1B for x and p and evaluate the indicated operations on this function. (a) Evaluate ✩ p²(x). (b) Evaluate ô²â ½(x). (c) Using the results from parts (a) and (b), determine the net effect of the operation represented by (x p² - p²x) y(x).
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Correct answers for A and B are provided to slolve part C.
Transcribed Image Text:Consider the localized wavefunction given by 4(x) = e-αx². Use the definitions given in
Lesson 1B for x and ô and evaluate the indicated operations on this function.
(a) Evaluate ✩ p² y(x).
(b) Evaluate p²x y(x).
(c) Using the results from parts (a) and (b), determine the net effect of the operation
represented by (x p² - p²x) y(x).
![.3
-ħ²[4a²x³-2ax]e-a
-ax 2
Ocalized wavefunction give
dicated operations on this
=xy(x)
3
-ħ²[4a²x ³ - 6ax ]e -ax²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c924432-5356-4d2a-9799-f03f3a53c4ab%2Ff83298f4-e76b-4e6c-9ad1-167a63d308c2%2Fzef4nlp_processed.png&w=3840&q=75)
Transcribed Image Text:.3
-ħ²[4a²x³-2ax]e-a
-ax 2
Ocalized wavefunction give
dicated operations on this
=xy(x)
3
-ħ²[4a²x ³ - 6ax ]e -ax²
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