## H ψ = E ψ

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

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

Paige Lee 1A
Posts: 136
Joined: Sat Sep 07, 2019 12:16 am

### H ψ = E ψ

Could someone please explain what H ψ = E ψ means?

Bryce Barbee
Posts: 103
Joined: Wed Sep 18, 2019 12:20 am

### Re: H ψ = E ψ

The H is the Hamiltonian which is just an operator that acts on the ψ. The ψ describes the system mathematically and E is energy. In the review, the problem that was used as an example basically just gave you the H and you had to plug it into the equation and not solve. I think we just have to know what the terms mean.

TarynD_1I
Posts: 100
Joined: Sat Aug 24, 2019 12:17 am

### Re: H ψ = E ψ

Bryce Barbee wrote:The H is the Hamiltonian which is just an operator that acts on the ψ. The ψ describes the system mathematically and E is energy. In the review, the problem that was used as an example basically just gave you the H and you had to plug it into the equation and not solve. I think we just have to know what the terms mean.

Yes, during the review session the TA said that we just have to know what the variables mean/represent, but we won't be expected to solve mathematically.