Consider a mass m particle subject to an infinite square well potential. The walls of the well are at x = 0 and x = L. T

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Consider A Mass M Particle Subject To An Infinite Square Well Potential The Walls Of The Well Are At X 0 And X L T 1 (63.12 KiB) Viewed 12 times

Consider a mass m particle subject to an infinite square well potential. The walls of the well are at x = 0 and x = L. The initial state vector is 4) = A(E) + 3i |E:)). (a) Find A (b) What are the possible results of an energy measurement and the probability of each? (c) Find (E). () Calculate 4(x, t). Express this as a real, sinusoidal function in time (For convenience, please define the constant w = 7ħ/2mL?). (e) What is the (x) for this state? (f) Suppose you measure the energy of the particle above and happen to get E3. What is now the state of the particle? (Write it as a ket, and also write it in the position representation) Then, calculate the probability that a subsequent measurement of position of this particle will find it somewhere between 0 and