Representation of quantum numbers +1/2 and -1/2

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SUMMARY

The quantum numbers +1/2 and -1/2 represent the two quantum mechanical spin states of an electron, which lack classical analogues. These states indicate the magnetic moment of the electron pointing up (+1/2) and down (-1/2), respectively. The discussion clarifies that classical descriptions of rotation do not apply to electron spin, emphasizing its unique nature in quantum mechanics. The correct interpretation of these quantum numbers is option (B), as it accurately reflects the absence of classical equivalents.

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Homework Statement


The quantum numbers +1/2 and -1/2 for the electron spin represents?


Homework Equations


a) rotation of electron in clockwise and anticlockwise directions respectively
b) tow quantum mechanical spin states which have no classical analogue
c) Magnetic moment of electron pointing up and down respectively
d) Rotation of electron in anticlockwise and clockwise directions respectively


The Attempt at a Solution


Since the term "respectively" is used in the options a) and d), the option d) cancels out and even i think the option c cancels out also.

I am confused between the a) and b) one,
what does one mean by classical analogue?
 
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No Classical Analogue simply means that there is no equivalent phenomena which can describe the Spin Quantum number in Classical Physics - one which we usually study. It is a quantity dedicated to only atomic level in Modern Physics. Therefore, you can't say that the electron is spinning clockwise or anticlockwise like we say for objects.

So, the answer in my opinion is (B).
 

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