Total Angular Momentum J

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In an electron system with spin 1/2 and orbital angular momentum l = 1, the total angular momentum J is calculated as J = S + L. The discussion starts with the state j = 3/2, m = 3/2, represented as |1, +1/2>. Participants inquire about deriving other states and the origin of the j and m values. A reference to quantum mechanics notes is provided, which clarifies the concepts. Overall, the conversation emphasizes understanding the total angular momentum in quantum systems.
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In an electron system (spin =1/2, l = 1) the total angular momentum will be J=S+L
 
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Start with j=3/2, m=3/2, that is |1,+1/2>. How do you obtain other states ?
 
Where did the j and m values you stated come from?
I have no idea
 
ah, that helps a lot thanks :)
 

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?
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