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Unformatted text preview: an expression for the uncertainty in momentum p x for the quantum oscillator in the ground state. (10 pts) Hint: m x 2 2 4 3. Consider a particle of energy E incident from the left on the infinite step potential shown below where E &lt; U . (20 pts) E U o x = 0 m a) Starting with the TimeIndependent Schrodinger Equation derive the wavefunction ( ) x to the left and right of the step potential. b) Write down the complete wavefunction ( , ) x t to the left and right of the step potential. c) Derive and expression for the Transmission and Reflection coefficient. d) If a current of 1A is incident on the step potential calculate how much current is transmitted and reflected. e) Find the probability density to the right of the step potential and explain its physical significance. 5...
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 Spring '11
 Luna
 Physics, Mass, Work

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