Wavefunction

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

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

105114680
Posts: 60
Joined: Fri Sep 28, 2018 12:23 am

Wavefunction

I know that wavefunctions describe the distribution of an electron in an atom but I am having trouble understanding that concept. For one, why is it called a wavefunction and does it have anything to do with an atom's energy levels?

Chloe Orsini 1K
Posts: 32
Joined: Fri Sep 28, 2018 12:18 am

Re: Wavefunction

The wave function predicts statistically where an electron will be at a certain time. The wave function is a probability so it is still largely a "theory" which makes it difficult to understand. However, an orbital is a mathematical function that describes the wave-like behavior of the electron, so it could be used to help depict this probability.

Riya Shah 4H
Posts: 65
Joined: Wed May 02, 2018 3:00 am

Re: Wavefunction

How important is it to know the Schrodinger Equation because it can be very confusing?

deepto_mizan1H
Posts: 65
Joined: Fri Sep 28, 2018 12:16 am

Re: Wavefunction

I think for the purpose of the class and for learning about the "Quantum World", knowing the Schrodinger Wave Function Equation is essential for a conceptual understanding. From my understanding the equation allows us to gain a probable location of the particle (probability density) by solving the equation for the particle's wave function. The particle in a box idea helps to conceptualize a limited space with certain wavelengths. The book does a good job of highlighting its conceptual importance, and why the Quantum World exhibits unique phenomena.