Question: 2. ( / 26 pts) A free particle, released at time t = 0, has the initial wave function /2b Fcosbzc %S$S % IJ($,0) =

2. ( / 26 pts) A free particle, released at time t = 0, has the initial wave function /2b Fcosbzc %S$S % \\IJ($,0) = 1 0 else where b is a positive, real constant. (a) (10 pts) Find the momentum function q5(k) 1 (b) (8 pts) For the momentum function and the initial wave function, discuss the limiting cases for very large b. Discuss the results in the context of the Heisenberg Uncertainty Principle. (c) (8 pts) For the momentum function and the initial wave function, discuss the limiting cases for very small I). Discuss the results in the context of the Heisenberg Uncertainty Principle

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