# One Dimensional Simple Harmonic Oscillator Potential

A particle with mass m is in a one dimensional simple harmonic oscillator potential. At time t=0 it is described by the state

Ï?=b|Ï?_0+c|Ï?_1

Where Ï?_0 and Ï?_1 are normalised energy eigenfunctions corresponding to energies E_0 and E_1 and b and c are real constants.

Find b and c that (x)-(expectation value) is as large as possible.

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#### Solution Summary

The solution finds b and c that (x)-(expectation value) is as large as possible.

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