## Understanding of Shrodinger Equation

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

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

JTieu_1L
Posts: 128
Joined: Wed Sep 30, 2020 9:34 pm

### Understanding of Shrodinger Equation

I am not too sure about what Schrodinger Equation means, but to my understanding, is the following statement correct?

So, each wave function gives rise to different electron densities. And when you square the wave function (Hamiltonian in the formula) it gives you that specific electron density (where electron occupies electrons), energy levels, or orbitals.

Ryan Laureano 3I
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Joined: Wed Sep 30, 2020 10:09 pm
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### Re: Understanding of Shrodinger Equation

I think the wave functions vary depending on the location of the electron. Other than that, your understanding of the squared wave function I believe is correct. Also I think it is important to know that probability density is different from probability in the sense that probability density requires volume and is in terms of 1/volume.

Katie Phan 1K
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Joined: Wed Sep 30, 2020 9:55 pm

### Re: Understanding of Shrodinger Equation

If you're still confused just look in the textbook! It'll tell you what exactly it's used for.

reyvalui_3g
Posts: 85
Joined: Wed Sep 30, 2020 9:52 pm

### Re: Understanding of Shrodinger Equation

The wave function will tell you the trajectory of a particle. In this case the particle we are dealing with is an electron, so the wavefunction will tell you the path of the electron outside of the atom. Furthermore, each wave function is different depending on which atomic orbital the electron is located in.