Table of content:-
1) Quantized Angular Momentum
2) Orbital Angular Momentum
3) Total Angular Momentum
4) Angular momentum
5) Angular momentum of a collection of particles
6) Angular momentum in the center of mass frame
7) Quantization of radius
Quantization of orbit radius
9) Quantization of velocity
10) Quantization of frequency
11) Quantization of angular frequency kinetic energy
12) Quantization of potential energy in hydrogen atom
13)Hydrogen atom
Quantized Angular Momentum:-
In the process of solving the Schrodinger equation for the hydrogen atom, it is found that the orbital angular momentum is quantized according to the relationship:
It is a characteristic of angular momenta in quantum mechanics that the magnitude of the angular momentum in terms of the orbital quantum number is of the form
and that the z-component of the angular momentum in terms of the magnetic quantum number takes the form
This general form applies to orbital angular momentum, spin angular momentum, and the total angular momentum for an atomic system. (…)