## Shrodinger Equation on Outline

$H_{\psi }=E_{\psi }$

1-D: $E_{TOTAL}\psi (x)=E_{k}\psi (x)+V(x)\psi(x)=-\frac{h^{2}}{8\pi ^{2}m}\frac{d^{2}\psi(x)}{dx^{2}}+V(x)\psi(x)$

Daniel_Frees_1L
Posts: 40
Joined: Fri Sep 28, 2018 12:18 am

### Shrodinger Equation on Outline

In our outline for test 2, it says "Understand the relationship between Schrodinger's equation (H ψ = E ψ), wave functions, and orbitals."

I'm not sure exactly what these means and I'm a little hazy on the relationship between the three. Can anyone help clarify?

Anushi Patel 1J
Posts: 61
Joined: Fri Sep 28, 2018 12:19 am
Been upvoted: 1 time

### Re: Shrodinger Equation on Outline

So the Schrodinger equation is a model to describe electrons in an atom based on their wavelike properties and the Heisenberg uncertainty principle. I don't think we are supposed to be able to completely understand the mechanics behind it, since it would probably involve a lot of complicated math. The wave function is the trident looking symbol (psi) inside the Schrodinger equation, and its a mathematical function that represents the height of a wave at a given position. An orbital IS a wave function, but only the valid wave functions that are experimentally confirmed are the orbitals. Hope that helps!

Kelly Zhang 1L
Posts: 31
Joined: Fri Sep 28, 2018 12:18 am

### Re: Shrodinger Equation on Outline

Will we have to answer questions using Schrodinger's equation?