x,y,z notation in schrodinger's equaton

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

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

Samantha Chung 4I
Posts: 77
Joined: Wed Oct 03, 2018 12:16 am

x,y,z notation in schrodinger's equaton

On my notes, I have written down "the schrodinger's equaton operates a change on schrodinger equation function ((x,y,z) ) which equals to energy (schrodingers equation): (x,y,z). However, what does the (x,y,z) represent? And what is the relationship between schrodinger's equation and energy?

rkang00
Posts: 69
Joined: Fri Sep 28, 2018 12:25 am

Re: x,y,z notation in schrodinger's equaton

It might have to do with the principal quantum number and orbital number. There's another number that I can't recall right now but they're in the textbook - the notations are n, l, ml.

Sean Reyes 1J
Posts: 67
Joined: Fri Sep 28, 2018 12:24 am

Re: x,y,z notation in schrodinger's equaton

The quantum numbers, which you have labeled as (x,y,z), are actually numbers used to describe the specifics of an electron in an atom. (x,y,z) become (n,l,ml,ms) in the wave function.
n is the principle quantum number and describes the shell.
l describes the shape of the orbital.
ml describes the sub shell of the orbital.
ms describes the spin of the electron (either up-spin or down-spin).