## Explanation of Shrodinger Equation and Hamiltonian

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

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

ashwathinair
Posts: 113
Joined: Sat Aug 17, 2019 12:17 am

### Explanation of Shrodinger Equation and Hamiltonian

What do we need to understand conceptually about the Shrodinger equation and the Hamiltonian? How do these concepts interact, and do we need to know the equation/how to solve the Hamiltonian?

sarahforman_Dis2I
Posts: 109
Joined: Sat Aug 17, 2019 12:18 am

### Re: Explanation of Shrodinger Equation and Hamiltonian

ashwathinair wrote:What do we need to understand conceptually about the Shrodinger equation and the Hamiltonian? How do these concepts interact, and do we need to know the equation/how to solve the Hamiltonian?

I believe that for the midterm we just need to know what the Hamiltonian is. The Hamiltonian is a double derivative that models the wavelike properties of electrons. The equation is that the hamiltonian wave function is equal to the energy wave function of an electron (that was determined through experimental data). Dr. Lavelle said that we will not need to know how to solve these problems, but I think it might be useful to understand the basic concepts. From my understanding, this equation can be used to calculate the wavefunction of the electron (psi) and the corresponding energy of that electron. I hope that this helps!

Victor James 4I
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Joined: Wed Sep 18, 2019 12:20 am

### Re: Explanation of Shrodinger Equation and Hamiltonian

how does this relate to orbitals?

Jared Khoo 1G
Posts: 107
Joined: Wed Sep 18, 2019 12:16 am

### Re: Explanation of Shrodinger Equation and Hamiltonian

Victor James 4I wrote:how does this relate to orbitals?

I believe that valid solutions of Schrodinger's equation, psi, correspond to orbitals.