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: Classically, the energy of an oscillator is E = (1/2)ka2 = (1/2)mω2a2, where a is the amplitude. So the “classically allowed region” for an oscillator of energy E extends from . Look in a math table under “Normal Distribution” or “Error Function" for the numerical value of the integral.
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