Here's my problem:(adsbygoogle = window.adsbygoogle || []).push({});

Using the normalization constant A=(mw/h*pi)^(1/4) and a = mw/2h, evaluate the probability to find an oscillator in the ground state beyond the classical turning points -A0 and A0. Assume A0= .1nm an k = 1 eV/square nm. The h variables actually represent h/2pi.

The wave function for the ground state is Ae^(-a*x^2). So the square of the wave function is A^2*e^(-2*a*x^2), which I will integrate as x ranges from .1 to infinity.

I found A^2 to be 1.0735 nm^-1 and a = 1.8102 nm^-2.

Subsituting these values and integrating yields .394 (probability of finding the oscillator beyond A0). This seems awfully large. What am I doing wrong? Could I possibly have a problem with units?

Any help appreciated!

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# Schrodinger probability problem

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