Physics · Quantum Mechanics
Let &vec;σ = (σ 1 , σ 2 , σ 3 ), where σ 1 , σ 2 , σ 3 are the Pauli matrices. If &vec;a and &vec;b are two arbitrary constant vectors in three dimensions, the commutator [&vec;a · &vec;σ, &vec;b · &vec;σ] is equal to (where I is the identity matrix):
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1|&vec;a||&vec;b|I
- 2(&vec;a · &vec;b)I
- 32i(&vec;a × &vec;b) · &vec;σ✓
- 4(&vec;a · &vec;b)(σ 1 + σ 2 + σ 3 )
Correct answer
2i(&vec;a × &vec;b) · &vec;σ
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