## Schrodinger Equation

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

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

Kyle Thorin
Posts: 50
Joined: Sat Aug 24, 2019 12:16 am

### Schrodinger Equation

What is Schrodinger's equation and what will I be able to find using it? Also, what does Ψ mean as used in this equation?

Ali Polansky 1A
Posts: 15
Joined: Fri Aug 09, 2019 12:15 am
Been upvoted: 1 time

### Re: Schrodinger Equation

Ψ means wavefunction.
the equation is E(wavefunction)= H (wavefunction)

where H= hamiltonian (double derivative)
E= energy of the electron

chari_maya 3B
Posts: 108
Joined: Sat Sep 07, 2019 12:18 am

### Re: Schrodinger Equation

I don't really understand, conceptually, how the Schrodinger Equation was derived and proven. Can someone explain?

Emily_4B
Posts: 57
Joined: Wed Sep 18, 2019 12:21 am

### Re: Schrodinger Equation

Ali Polansky 1A wrote:Ψ means wavefunction.
the equation is E(wavefunction)= H (wavefunction)

where H= hamiltonian (double derivative)
E= energy of the electron

What does the Hamiltonian represent in terms of wavefunction?