LS coupling and calculating the total angular momentum

Click For Summary
The discussion focuses on calculating total angular momentum (J) in many-electron atoms using LS coupling. Given L=2 (orbital angular momentum) and S=1 (spin angular momentum), the possible configurations for J can be derived using the quantum mechanical rule J=L+S, L+S-1, ..., |L-S|. This results in potential values of J being 3, 2, and 1. Participants seek clarification on how to apply this rule to determine specific configurations and their corresponding total angular momentum values. Understanding these calculations is essential for grasping the behavior of electrons in multi-electron systems.
cooper607
Messages
49
Reaction score
0
hi all, these days i m going through Arther Beiser's modern physics book where i read about the total angular momentum in many electron atoms..now i could understand the LS coupling and spin orbit effect how they combine to form total angular momentum but if i m given the magnitude of L=2 (orbital angular momentum ) and S=1 (spin angular momentum)

then how can i calculate the configurations they can have and also how can i calculate the J(total angular momentum ) for each configuration ...please help me anyone... i m referring from BESISER'S "PERSPECTIVE OF MODERN PHYSICS "
 
Physics news on Phys.org
The general rule for addition of angular momenta in quantum mechanics is, for ##J=L+S##,
$$
J = L+S, L+S-1, \ldots, \left| L - S \right|
$$
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
View full post »

Similar threads

Undergrad Expansion of position kets in terms of angular momentum
  • · Replies 5 ·
Replies
5
Views
987
Undergrad How to derive orbital angular momentum of spins in quantum mechanics?
  • · Replies 2 ·
Replies
2
Views
878
High School How to show that particle spin includes angular momentum?
  • · Replies 14 ·
Replies
14
Views
2K
Undergrad Angular Momentum Vector and Its Magnitude
  • · Replies 14 ·
Replies
14
Views
2K
High School Electron angular momentum, gyroscope?
  • · Replies 14 ·
Replies
14
Views
1K
Graduate Coleman: "Spin is a concept that applies only to particles with mass"
  • · Replies 11 ·
Replies
11
Views
1K
Undergrad Exchange symmetry of two particles on a sphere
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Do measurements modify angular momentum and energy?
  • · Replies 17 ·
Replies
17
Views
2K
Undergrad Addition of angular momenta
  • · Replies 1 ·
Replies
1
Views
897
Exchange symmetry when adding angular momentum and in LS coupling?
  • · Replies 3 ·
Replies
3
Views
3K