Schrodinger Variables

[Talia Leano 2H]

Can you explain what is meant by the H in the Schrodinger equation?

[Sophia Hu 1A]

H is a Hamiltonian which is a double derivative. I think the main reason the Hamiltonian is used is because it gives the energy. This energy matches spectroscopic data which shows the Schrodinger equation is a math model that worked and the math model represents particular states of electrons.

I think Dr. Lavelle also explained how the double derivative gives you back the same function. If we used the simplified equation of wave function = sin(theta) used in the lecture, then the double derivative gives back sin(theta). I think there is more explanation for this, but I don't believe we have to understand this in depth.

I believe there is definitely a more complex explanation, but for our knowledge I think all we need to know is that the double derivative gives back energy. Hope this helps!