Question: The normalized wave functions for the ground state, po(x), and the first excited state, v,(x), of a quantum harmonic oscillator are given below where

The normalized wave functions for the ground state, po(x), and the first

The normalized wave functions for the ground state, po(x), and the first excited state, v,(x), of a quantum harmonic oscillator are given below where a = mw/h: \1/4 () 4g3 1/4 do (x) = (=)e-ar"/2 W1 (2) = xe-ar/2 A mixed state, Vo1(x), is constructed from these states: vo1 (2) = The symbol < q >s denotes the expectation value of the quantity q for the state ys(x). Calculate the following expectation values. (Use the following as necessary: x and a.) (a) 0 = (b) 1 = (c) 01 =

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