## HΨ=EΨ [ENDORSED]

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

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

Michelle Steinberg2J
Posts: 73
Joined: Fri Sep 29, 2017 7:04 am

### HΨ=EΨ

In lecture we wrote down this equation ( HΨ=EΨ) as well as :
H=double derivative
E= energy of e-
Ψ= wave function representing e-

I'm unsure what this formula means or when to apply it. An explanation would be great!

Thanks!

Chem_Mod
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Joined: Thu Aug 04, 2011 1:53 pm
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### Re: HΨ=EΨ  [ENDORSED]

Hey Michelle!!!!!!!!!!!!!!!!!!!!!!!!!!!
This is Schrodinger's equation. The results of the equation are what we need for this class but we don't need to mathematically solve the equation cause doing that is quite difficult.
When you solve Schrodinger's equation, you get 2 results. You get the wavefunction psi and you also get an equation for the energy.

You can solve Schrodinger's equation for many different systems. In this course, we're primarily solving it for the H atom. The results are psi and a formula for Energy.

From the psi, you can derive the s,p,d, and f orbital shapes.
The energy formula is E = -Rh/n2

Hope this helps!

Varsha Sivaganesh 1A
Posts: 51
Joined: Thu Jul 13, 2017 3:00 am

### Re: HΨ=EΨ

So we just need to know that Schrodinger's equation is used to find n, l, and ml?? Or is that not what it's used for...?

Vincent Grospe 3C
Posts: 20
Joined: Fri Sep 29, 2017 7:07 am

### Re: HΨ=EΨ

When Schrodinger’s equation is used, those three quantum numbers (n, l, ml) are used to label each wave function, which utilizes coordinates (r, theta, phi).

Mishta Stanislaus 1H
Posts: 45
Joined: Fri Sep 29, 2017 7:04 am

### Re: HΨ=EΨ

The purpose was to be able to find the m,l,etc, values I believe .

Peter Dis1G
Posts: 97
Joined: Fri Sep 29, 2017 7:04 am

### Re: HΨ=EΨ

I have the same question. Thanks guys for explaining!