## Probability Density

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

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

305115396
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### Probability Density

Could someone explain the concept of probability density? the textbook defines it as the probability that the particle will be found in a small region divided by the volume of the region. I don't really understand what probability density is.

David S
Posts: 54
Joined: Fri Sep 28, 2018 12:15 am

### Re: Probability Density

Think of mass density, where it's the amount of mass occupying a space divided by the volume of a space. When an object has higher mass density, that means there is more mass packed within the same sized space compared to something that is less dense.
With probability density, it works the same way.
So, if something has a high probability density, this means that the probability of something occuring (in this case, finding the electron) is higher in the same sized space compared to something has lower probability density.