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!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Schrodinger probability problem

**Physics Forums | Science Articles, Homework Help, Discussion**