- Question 3 At Time T 0 The Wave Function Describing The State Of A Particle Takes The Form V X 0 C 4v1 X 2i 2 1 (45.31 KiB) Viewed 352 times
Question 3 At time t = 0, the wave function describing the state of a particle takes the form v (x,0) = C (4v1(x) — 2i½2(x) + √54₁(x)), where un(x) are normalized energy eigenfunctions for the particle with corresponding eigenvalues En = n²7²h²/2mL², where n = 1,2,3.... (a) Find the value of C2 and hence obtain values for the probabilities of obtaining the energies E₁, E2 and E4. (b) Calculate the expectation value of the energy in the state described by V(x, 0), give the answer in terms of m, Land ħ. [3] [2]