Wave funtions for a massive particle moving in 1D harmonic oscillating potential

[arp777]

If a particle of mass moves in a One-Dimensional harmonic oscillating potential, and the particle is in the first excited state, what will it's wave function look like? And the significance of it being in the first excited state versus the ground state?

Thanks for the input!

 

[Physics Monkey]

Check out http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator

 

[jtbell]

The QM simple harmonic oscillator is a standard example that can probably be found on hundreds of web pages, and in every textbook on quantum mechanics.

For example:

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc5.html