A particle is represented (at time t=0) by the wave function -x¹) if- a ≤x≤a otherwise if. ¥(x,0) = {4(a* − xª) 0 a) Determine the normalization constant A b) What is the expectation value of x (at time t=0) c) What is the expectation value of p (at time t=0) d) Find the expectation value of x² e) Find the expectation value of p² f) Find the uncertainty in x (0) g) Find the uncertainty in p (p) h) Check that your results are consistent with the uncertainty principle

A particle is represented (at time t=0) by the wave function -x¹) if- a ≤x≤a otherwise if. ¥(x,0) = {4(a* − xª) 0 a) Determine the normalization constant A b) What is the expectation value of x (at time t=0) c) What is the expectation value of p (at time t=0) d) Find the expectation value of x² e) Find the expectation value of p² f) Find the uncertainty in x (0) g) Find the uncertainty in p (p) h) Check that your results are consistent with the uncertainty principle