The normalized wave functions for the ground state, c0(x),
Chapter 41, Problem 57(choose chapter or problem)
The normalized wave functions for the ground state, c0(x), and the first excited state, c1(x), of a quantum harmonic oscillator are c0 1x 2 5 a a pb 1/4 e 2ax 2 /2 c1 1x2 5 a 4a 3 p b 1/4 xe2ax 2 /2 where a 5 mv/U. A mixed state, c01(x), is constructed from these states: c01 1x 2 5 1 !2 3c0 1x 2 1 c1 1x 2 4 The symbol 8q 9s denotes the expectation value of the quantity q for the state cs (x). Calculate the expectation values (a) 8x 90, (b) 8x 91, and (c) 8x 901.
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