## Hamiltonian

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

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

Abigail Carter 4G
Posts: 50
Joined: Sat Sep 07, 2019 12:19 am

### Hamiltonian

What does the H or hamiltonian mean in schrodinger's equation? Is it an actually constant?

Kyla Grunden 1L
Posts: 46
Joined: Sat Sep 07, 2019 12:16 am

### Re: Hamiltonian

I went to a review session today where the TA basically described the hamiltonian as a variable. In the example problem he gave, it told you what the variable stood for (it was a derived equation) and you simply plugged the given equation into Schrodinger's equation and then defined the variables in the equation, no solving necessary!

Diana A 2L
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Joined: Sat Aug 17, 2019 12:16 am
Been upvoted: 1 time

### Re: Hamiltonian

In terms of the Hamiltonian in the context of the midterm, the variable itself is given on the formula sheet I believe, so for the purpose of the midterm, all you really have to know is the basic format of the Schroedinger equation: H(wavefunction)=E(wavefunction) and then just plug in the variable from the formula sheet into H.

Mai V 4L
Posts: 111
Joined: Fri Sep 28, 2018 12:23 am

### Re: Hamiltonian

Does anyone have a video they thhink is a good reference for this topic?

Yeprem
Posts: 35
Joined: Wed Sep 30, 2020 9:40 pm

### Re: Hamiltonian

what do we plug in for the wave function?