The azimuthal quantum number, denoted as 'l', takes values from 0 to n-1, where 'n' represents the principal quantum number. This range is derived from the algebraic theory of quantum mechanical angular momentum and the solutions to the Schrödinger equation in three dimensions. Understanding this concept is essential for comprehending atomic structure and electron configurations in quantum mechanics.
PREREQUISITESStudents and educators in physics or chemistry, particularly those focusing on quantum mechanics and atomic theory, will benefit from this discussion.
From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.Avanthica said: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 ?
Thank you so much sir for taking time to reply to my thread. Can you explain it in detail sirPeroK said:From the algebraic theory of quantum mechanical angular momentum, and solving the Schrödinger equation in three dimensions.
Are you studying physics or chemistry at university?Avanthica said: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
i am studying physics in an college affiliated to a univertisyPeroK said:Are you studying physics or chemistry at university?
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:Avanthica said:i am studying physics in an college affiliated to a univertisy