## Quantum spin number and wave function

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

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

ian_haliburton_1f
Posts: 61
Joined: Fri Sep 28, 2018 12:24 am

### Quantum spin number and wave function

Is it correct that the values of the quantum spin number have nothing to do with the wave function? I remember the later experiment with electrons and magnetism described in the text, but how is the value 1/2 derived?

Nicholas Carpo 1L
Posts: 36
Joined: Fri Sep 28, 2018 12:19 am

### Re: Quantum spin number and wave function

The derivation of the Spin Quantum Number is based upon the Pauli Exclusion Principle. So, although the spin number is not part of the Wave Function, it helps completely specify an e- in an atom particularly spin state.