This material serves as a bridge from operator formalism to matrix mechanics.
I hope this helps those who are learning quantum mechanics for the first time.

On 18 August, the Swedish government unveiled Sweden’s first national strategy for quantum technology. The strategy identifies WACQT, Chalmers NextLabs, and Chalmers’ research infrastructures as national strengths in the field, while emphasizing the need for stronger national coordination in quantum technology, fully aligned with the Swedish Center for Quantum Technology that Chalmers is establishing together with five other universities ... read the full announcement here:

https://www.chalmers.se/en/current/news/mc2-a-swedish-strategy-for-quantum-technology-now-in-place/

u/chalmers

I was solving this question and I loved it
(You can try if you want to)

The answer is (2)

The solution is by equation the radial wave function equation to zero, then finding the values of x as 1, 2, 6 and then substituting it in x=2r/a

On solving it we get to know there are 3 possible values of "x" that are 1, 2, 6
which means n-l-1=3
we also know that since at x=0, the value of the equation is not Zero and therefore there is electron probability at the centre, Therefore it's a "s" orbital

so it is obv 4s as it has 3 radial nodes

The minimum distance of the Radial node is a/2 which simply shouldn't be possible right??

Because how can a Radial node or probability of electron be Zero before the "first Bohr orbit" that is 1s

The solution a/2 means there is a radial node before the 1s orbit, But how can a node or 4s exist before 1s? It will face shielding and we all know 4s is an outer orbital and it also has higher energy

I would love if someone could solve this doubt of Quantum Physics

Any thoughts?