Chemistry · Quantum Mechanics & Quantum Operators
For a Hermitian operator ä (Â), consider the following statements: I. Â has real eigenvalues. II. ⟨Â⟩, with respect to any arbitrary state, is always ≥ 0. III. ⟨Â2⟩, with respect to any arbitrary state, is always ≥ 0. IV. Â always commutes with another Hermitian operator. Which option represents the set of correct statements?
- 1I and III only✓
- 2I, II, III, IV
- 3I, II and III
- 4I only
Correct answer
I and III only
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