What do the Ms in ml and ms quantum numbers stand for?

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The discussion clarifies the meanings of the quantum numbers, specifically focusing on the symbols "m" and "s." The "m" in "ml" stands for magnetic, while "s" denotes spin. There's uncertainty about the "l," with suggestions that it may represent "momentum." Participants emphasize that these labels have historical significance rather than intrinsic meaning. Understanding these terms is essential for grasping quantum mechanics concepts.
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I first thought magnetic, but that only makes sense for ml, they're both projections though, does anyone know what they stand for?

Thanks!
 
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m stands for magnetic
s stands for spin
l stands for ?

Keep in mind that these are just labels of at most historical significance.
 
I think it must just be 'momentum' from searching a bit more.
 
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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