How azimutal quantum number got its range value

[Avanthica]

TL;DR

it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?

it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?

 

[PeroK]

TL;DR Summary: it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?

it is known that azimutal quantum number takes the values from 0 to n-1. how did they find it ?

From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.

 

[Avanthica]

From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.

Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sir
or may i know where i can learn about this in detail

 

[PeroK]

Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sir
or may i know where i can learn about this in detail

Are you studying physics or chemistry at university?

 

[Avanthica]

Are you studying physics or chemistry at university?

i am studying physics in an college affiliated to a univertisy

 

[PeroK]

i am studying physics in an college affiliated to a univertisy

Your textbook should cover the solution to the Schrödinger equation for the hydrogen atom. There are plenty of resources online that cover this. E.g. this looks like it covers the basics without getting into the mathematics of solving the SDE:

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hydsch.html

This is more advanced:

https://faculty.washington.edu/seattle/physics227/reading/reading-26-27.pdf