(a) Determine the value of C is the wave-function is normalised. (b) Where is the electron most likely to be found? (c) Calculate the expectation value of position < x > for the electron. (d) What is the uncertainty in finding the position of the electron?

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Problem 1
An electron is described by the wave function with the following x dependence:
(x) = 0
for a <0
= Ce» for > 0,
where C is a constant.
(a) Determine the value of C is the wave-function is normalised.
(b) Where is the electron most likely to be found?
(c) Calculate the expectation value of position < x > for the electron.
(d) What is the uncertainty in finding the position of the electron?
Transcribed Image Text:Problem 1 An electron is described by the wave function with the following x dependence: (x) = 0 for a <0 = Ce» for > 0, where C is a constant. (a) Determine the value of C is the wave-function is normalised. (b) Where is the electron most likely to be found? (c) Calculate the expectation value of position < x > for the electron. (d) What is the uncertainty in finding the position of the electron?
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