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Ground State of Harmonic Oscillator

In the ground state of the harmonic oscillator, what is the probability (correct to three significant digits) of finding the particle outside the classically allowed region? (Hint: what are the minimum and maximum values of the coordinates of the respective classical oscillator with a given energy E?) Look in math tables under "Normal distribution" or "Error function" for the numerical value of the integral.

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Solution Summary

This solution determines the maximum and minimum values of the coordinates in the classical oscillator using energy, frequency, amplitude, wave function and hence the probability of the particle outside the classically allowed region. All steps are shown with brief explanations for further understanding.