This is the problem I have
And this is one of my books tell me what should I do
And my question is: Do I need to consider spin in this case?(that is, I don't think the book is right...)
I found an example of 1-dimensional infinite potential well in griffith's introduction of quantum mechanics, and in that case the author didn't consider the spin.
And as far as I have learned, I think that Pauli exclusion principle state that fermions like electron can't occupy the same state, that is they can't occupy the same quantum number simultaneously. So in my perspection, no need for the consideration of spins since they don't have the same quantum number both in 3-d and 1-d infinite potential well.
While in comparison ,the spin is a quantum number in a hydrogen case we must consider.
Am I right? Or both concepts are right?