hwk9 - Find the expectation values ± x ² and ± x 2 ²...

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Physics 31: Homework #9 Due Thursday, April 3, 2008 Problem A: Show that the ground state harmonic oscillator wave function ψ 0 ( x )= µ π ¯ h 1 / 4 exp à mωx 2 h ! is a solution of the (time-independent) Schroedinger equation with the appropriate eigen- value. Problem B:
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Unformatted text preview: Find the expectation values ± x ² and ± x 2 ² for the ground state of the harmonic oscillator. Express your answer in terms of the mass m and frequency ω of the oscillator. Do the following problems in Beiser: Chapter 5: 24, 25...
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