A particle of mass m trapped inside the infinite square well of width L has as its initial wave function the following m

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A Particle Of Mass M Trapped Inside The Infinite Square Well Of Width L Has As Its Initial Wave Function The Following M 1 (52.39 KiB) Viewed 43 times

A particle of mass m trapped inside the infinite square well of width L has as its initial wave function the following mixture of the first two stationary states: ¥(x,0) = A[v₁(x) + e² $2(x)] . Here, A> 0 is a normalization constant, 1(x) and 2(x) are the first and second stationary state wave functions, respectively, and is some real number. 1. Find A by normalizing V(x,0). [10 marks] 2. Find (x, t) and (x, t)|2. Express the latter as a sinusoidal function of time t. [15 marks] 3. Compute the expectation values of particle's position and momentum, (x) and (p), respectively. [25 marks]