Apologies if this question is better posed in the mathematics section, it is for a quantum mechanics class so I decided to post it here:(adsbygoogle = window.adsbygoogle || []).push({});

We are asked to verify that the following equation is a solution to the Schrodinger wave equation for a free particle:

Psi(x,t) = Ae^i(kx-wt) - Ae^-i(kx+wt)

I did that part just fine, but then we are asked to show that this wave equation can be rewritten as

Psi(x,t) = 2AiSinkxe^(-iwt)

and answer the question: What kind of wave of this?

So far the only thing I can come up with is

Psi(x,t) = 2AiSin(kx)cost(wt)

Which doesn't seem compatible at all.

Can anyone show me how this is the same equation? and if you know 'what kind of wave' this is that would be very helpful too.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

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!

# I Alternate form of wave equation

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - Alternate form wave | Date |
---|---|

B Alternative to Double Slits | Jan 18, 2017 |

I What do you think of the alternate interpretations of QM? | Dec 29, 2016 |

I Why do the alternatives separate from each other? | Oct 26, 2016 |

B Explaining to middle and high schoolers the alternatives to retrocausality | Sep 2, 2016 |

**Physics Forums - The Fusion of Science and Community**