## What is the hamiltonian?

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

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

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charlottesmith3f
Posts: 22
Joined: Fri Sep 25, 2015 3:00 am

### What is the hamiltonian?

What is the hamiltonian in Schrodinger's equation? In the book, it is written as an H before the psi, but what is actually being done to the equation?

Chiara R 1K
Posts: 22
Joined: Fri Sep 25, 2015 3:00 am

### Re: What is the hamiltonian?

As I understood it, I think the Hamiltonian (H) is the second derivative of the function $\Psi$(x,y,z), which is the change in the function over time.

Lauren Su 2B
Posts: 20
Joined: Fri Sep 25, 2015 3:00 am

### Re: What is the hamiltonian?

Also, since the Hamiltonian is the second derivative, I think it's used to show the change in the wave function, aka the orbital.

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