## Hψ

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

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

Julia Meno 1D
Posts: 28
Joined: Fri Sep 29, 2017 7:04 am

### Hψ

Hi everyone!

Can some please explain to me what exactly Hψ represents in the Schrodinger equation and how it can be equal to Eψ?

Thanks :)

manasa933
Posts: 72
Joined: Fri Sep 29, 2017 7:04 am

### Re:Hψ

Hψ represents hamiltonian and is equal to the sum of the potential and kinetic energy.

Yuting Zhu 3D
Posts: 17
Joined: Tue Oct 10, 2017 7:14 am

### Re: Hψ

Also, to add on, Hamilton is a double derivative.

Esin Gumustekin 2J
Posts: 57
Joined: Thu Jul 27, 2017 3:01 am

### Re: Hψ

Just to add on, this equation is telling us that if you multiply a Hamiltonian by a wavefunction you will get the same wavefunction out multiplied by its energy.