At time t = 0, the wave function describing the state of a particle takes the form V(x,0) ) = C (40/1(x) — 2i½/2(x) + √5

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At Time T 0 The Wave Function Describing The State Of A Particle Takes The Form V X 0 C 40 1 X 2i 2 X 5 1 (25.95 KiB) Viewed 30 times

At time t = 0, the wave function describing the state of a particle takes the form V(x,0) ) = C (40/1(x) — 2i½/2(x) + √50/4(x)), where un(a) are normalized energy eigenfunctions for the particle with corresponding eigenvalues En = n²n²h²/2mL², 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 E₁. (b) Calculate the expectation value of the energy in the state described by (r, 0), give the answer in terms of m, Land h.