Total Angular Momentum J

In summary, total angular momentum J refers to the combination of intrinsic and orbital angular momentum of a particle or system, and is calculated by adding the spin and orbital angular momentum vectors. It is an important property in quantum mechanics as it is conserved and used to determine energy levels and interactions of particles. The quantum number l, related to the orbital angular momentum, is denoted by the letters s, p, d, f, etc. and each letter corresponds to a specific value of l. The total angular momentum J is related to l by the equation J = l + s, where s is the spin quantum number. Total angular momentum J cannot change unless an external torque or force is applied, making it a fundamental property in quantum mechanics.
  • #1
alwaysstuck
3
0
In an electron system (spin =1/2, l = 1) the total angular momentum will be J=S+L
 
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  • #2
Start with j=3/2, m=3/2, that is |1,+1/2>. How do you obtain other states ?
 
  • #3
Where did the j and m values you stated come from?
I have no idea
 
  • #5
ah, that helps a lot thanks :)
 

1. What is total angular momentum J?

Total angular momentum J refers to the combination of intrinsic (spin) and orbital angular momentum of a particle or system.

2. How is total angular momentum J calculated?

Total angular momentum J is calculated by adding the spin angular momentum and orbital angular momentum vectors using vector addition.

3. What is the importance of total angular momentum J in quantum mechanics?

Total angular momentum J is an important property in quantum mechanics as it is a conserved quantity, meaning it remains constant in a closed system. It is also used to determine the energy levels and interactions of particles.

4. How is total angular momentum J related to the quantum number l?

The quantum number l is related to the orbital angular momentum and is denoted by the letters s, p, d, f, etc. Each letter corresponds to a specific value of l (0, 1, 2, 3, etc.). The total angular momentum J is related to l by the equation J = l + s, where s is the spin quantum number.

5. Can total angular momentum J change?

No, total angular momentum J is a conserved quantity and cannot change unless an external torque or force is applied to the system. In quantum mechanics, total angular momentum J is a fundamental property that remains constant throughout a particle's lifetime.

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