Physics · Quantum Mechanics
मान लीजिए कि &vec;σ = (σ 1 , σ 2 , σ 3 ), जहाँ σ 1 , σ 2 , σ 3 पाउली आव्यूह (Pauli matrices) हैं। यदि &vec;a और &vec;b त्रि-आयामी समष्टि में दो स्वेच्छ अचर सदिश हैं, तो क्रमविनिमेयक (commutator) [&vec;a · &vec;σ, &vec;b · &vec;σ] किसके बराबर है? (जहाँ I तत्समक आव्यूह है):
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 )
सही उत्तर देखें
2i(&vec;a × &vec;b) · &vec;σ
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