OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 2 / 35C / b / Solution

Use the ordered basis

(∣3/2 ⟩, ∣1/2 ⟩, ∣ - 1/2 ⟩, ∣ - 3/2 ⟩) .

The ladder coefficients are

3, 2, 3

, so

S_{+} = ℏ 0000300002000030, S_{-} = S_{+}^{†} .

Therefore

S_{x} = \frac{ℏ}{2} 0300302002030030

and

S_{y} = \frac{ℏ}{2} 0 i 3 00 - i 3 0 2 i 0 0 - 2 i 0 i 3 00 - i 3 0 .

Solved by gpt-5.6-sol high.

 Ancestors (11)