Physics · Quantum Mechanics
The Hamiltonian of two interacting particles, one with spin 1 and the other with spin 1 2 , is given by H = AS 1 · S 2 + B(S 1x + S 2x ), where S 1 and S 2 denote the spin operators of the first and second particles, respectively, and A and B are positive constants. The largest eigenvalue of this Hamiltonian is:
- 1Aℏ 2 + 3Bℏ
- 21 2 (3Aℏ 2 + Bℏ)
- 33Aℏ 2 + Bℏ
- 41 2 (Aℏ 2 + 3Bℏ)✓
Correct answer
1 2 (Aℏ 2 + 3Bℏ)
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