1. (50 points) Consider the solution to the Schrödinger equation for the infinite quantum well with n=2. Find the normal

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1 50 Points Consider The Solution To The Schrodinger Equation For The Infinite Quantum Well With N 2 Find The Normal 1 (23.16 KiB) Viewed 12 times

1. (50 points) Consider the solution to the Schrödinger equation for the infinite quantum well with n=2. Find the normalized wave function and calculate (by derivation) <x>, <p>, <x² > and <p>. 2. (30 points) Determine which of the following one-dimensional wave functions represent states of definite momentum. For each wave that does correspond to a state of definite momentum, determine the momentum (a) y(x) = ex (b) y(x)=x²e-x (c) y(x) = sin(kx) + i cos(kx) (d) y(x) = x + ex