A particle initially in the state \(|\psi\rangle\) has the position-space wavefunction
$$ \psi(x)=N e^{-x^{2} / 8 a^{2}} $$
(a) What is the normalization coefficient \(N\) ?
(b) The state is then altered. Find the position-space wavefunction of the altered state
$$ \left|\psi^{\prime}\right\rangle=e^{-i p c / A}|\psi\rangle $$
(c) Calculate the expectation values of \((\ell)\), for both \(|\psi\rangle\) and \(\left|\psi^{\prime}\right\rangle\).
Homework Answers
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A particle initially in the state has the position-space wavefunction
Two particle state
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