## Hamiltonian

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

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

Ami_Pant_4G
Posts: 106
Joined: Sat Aug 24, 2019 12:17 am

### Hamiltonian

What is Hamiltonian and what is used for in terms of the Schrodinger equation?

Natalie Wang 1B
Posts: 51
Joined: Sat Sep 14, 2019 12:15 am
Been upvoted: 1 time

### Re: Hamiltonian

The Hamiltonian is the double derivative or the wave function (psi). The double derivative of the wave function is the same as the energy of the electron.

Laura WM 3I
Posts: 31
Joined: Wed Sep 18, 2019 12:19 am

### Re: Hamiltonian

What does double derivative mean? The derivative of what?

Isabella Dal Porto 1H
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Joined: Fri Aug 30, 2019 12:16 am

### Re: Hamiltonian

Is the Hamiltonian likely to be used a lot in this course? Is there an example problem that demonstrates when you would use or solve for?

805097738
Posts: 180
Joined: Wed Sep 18, 2019 12:20 am

### Re: Hamiltonian

Will we be expected to calculate this?

JasonLiu_2J
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Joined: Sat Aug 24, 2019 12:17 am

### Re: Hamiltonian

As far as I know, we won't need to do any calculations using Schrodinger's equation or the Hamiltonian in this class.

Nicholas Chin 1G
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Joined: Thu Jul 11, 2019 12:17 am

### Re: Hamiltonian

Yea, he specifically said in lecture that we will never be tested on this.