Question

Q.3: The spin states of two electron system can be written as $|1,1\rangle = |\uparrow_1,\uparrow_2\rangle$, $|1,0\rangle = (|\uparrow_1,\downarrow_2\rangle + |\downarrow_1,\uparrow_2\rangle)/\sqrt{2}$, $|1,-1\rangle = |\downarrow_1,\downarrow_2\rangle$, $|0,0\rangle = (|\uparrow_1,\downarrow_2\rangle - |\downarrow_1,\uparrow_2\rangle)/\sqrt{2}$. Workout at least 3 different spin states of a three electron system.

          Q.3: The spin states of two electron system can be written as
$|1,1\rangle = |\uparrow_1,\uparrow_2\rangle$,
$|1,0\rangle = (|\uparrow_1,\downarrow_2\rangle + |\downarrow_1,\uparrow_2\rangle)/\sqrt{2}$,
$|1,-1\rangle = |\downarrow_1,\downarrow_2\rangle$,
$|0,0\rangle = (|\uparrow_1,\downarrow_2\rangle - |\downarrow_1,\uparrow_2\rangle)/\sqrt{2}$.
Workout at least 3 different spin states of a three electron system.

Q.3: The spin states of two electron system can be written as
|1,1⟩ = |↑1,↑2⟩,
|1,0⟩ = (|↑1,↓2⟩ + |↓1,↑2⟩)/√(2),
|1,-1⟩ = |↓1,↓2⟩,
|0,0⟩ = (|↑1,↓2⟩ - |↓1,↑2⟩)/√(2).
Workout at least 3 different spin states of a three electron system.

Added by Robin K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Lucas Finney

Step 1

The total spin can range from the sum of the individual spins to the absolute difference between the sum and the difference of the individual spins. For three electrons, the possible values for the total spin are: - Total spin = 3/2 (when all three electrons Show more…

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Q.3: The spin states of two electron system can be written as |1,1=11,12), |1,0=[11,+2+|1,2]/2 |1,-1=1,2 |0,0=[111,2-1,2]/2. Workout at least 3 different spin states of a three electron system