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Spectroscopic States

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List the spectroscopic states (energy levels in the usual notation (2S+1)^L, that can arise from:

one particle with S=1/2,L=3
one particle with S=2,L=1
two particles with s1=1/2,s2=1,L=4
two particles with s1=1,s2=1, L=3
two particles with s1=1/2,s2=1/2,L=2

Which of the two particles are excluded if the particles are identical?

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NOTE: PLEASE BE EXTREMELLY EXPLICIT AS TO HOW YOU FOUND THE RESULT FOR EACH PART. I HAVE NO IDEA HOW TO DO THIS AND NEED TO LEARN IT VERY WELL FOR MY FINAL, PLEASE BE EXPLICIT IN SHOWING HOW TO GET THE ANSWER. THANKS A LOT!!!

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