Which Formula Correctly Represents the Kinetic Orbital Momentum of an Electron?

C_Ovidiu
Messages
23
Reaction score
0
In some places I saw that the module of the kinetic orbital momentum of an electron in an atom is
a) L^2=l(l+1)h^/(4pi^2) ==> L =h/(2pi)sqrt(l*(l+1)) l=0,1,2,...n-1
b) L=n*h/(2pi)
n beeing the energy level of an electron .

Now , my opinion is that the first is true . But I saw some problems solved using only the second value . I'm really confused . Which one is it ?
Thank you !
 
Physics news on Phys.org
Well, the first equation comes from the angular momentum theory in quantum mechanics, while the second is nothing but one of Bohr's postulates in his 1913 theory of the hydrogen atom.

Do you see what the difference is really about ?
 
Last edited:
Tks .
There are lots of differences .
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

Similar threads

Back
Top