What is the total number of states?

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SUMMARY

The total number of quantum states for ρ- mesons in the 2p subshell is 9. The quantum numbers for the ρ- mesons are defined as follows: principal quantum number (n) = 2, azimuthal quantum number (l) = 1, and magnetic quantum number (ml) can take values of -1, 0, and 1. Each combination of these quantum numbers, along with the spin quantum number (s = 1) and its magnetic counterpart (ms = -1, 0, +1), results in a total of 9 valid sets of quantum numbers. The question specifically asks for the 2p states, excluding any 2s states.

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  • Basic grasp of spin and its implications in quantum mechanics
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Homework Statement



The ρ- meson has a charge of -e, a spin quantum number of 1, and a mass 1507 times that of the electron. The possible values for its spin magnetic quantum number are -1, 0, and 1. Imagine that the electrons in atoms were replaced by ρ- mesons. Select all of the following which are possible sets of quantum numbers (n, l, ml, s, ms) for ρ- mesons in the 2p subshell.

What is the total number of states?

Homework Equations



n = 2
l = 1
ml = -1, 0, 1

The Attempt at a Solution



2 1 1 1 -1
2 1 1 1 0
2 1 1 1 +1
2 1 0 1 -1
2 1 0 1 0
2 1 0 1 +1
2 1 -1 1 -1
2 1 -1 1 0
2 1 -1 1 +1

Total states = 9 (?)

Do I also count the 2s states or is this question asking for 2p only? I'm confused. Any help is greatly appreciated, thank you!
 
Last edited:
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Looks good. The question does specifically say 2p.
 

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