The identity operator in quantum field theory leaves quantum states unchanged.
Is it true that the identity operator in quantum field theory leaves quantum states unchanged?
The identity operator leaving states unchanged is a foundational mathematical property of quantum mechanics and quantum field theory by definition, requiring no citation.
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
The claim states a definitional mathematical property of the identity operator, which maps any quantum state to itself ($I|\psi\rangle = |\psi\rangle$). This is a trivial piece of common knowledge inherent to the axioms of linear algebra and quantum theory, making paper citations unnecessary.
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What does the evidence say?
The claim states a definitional mathematical property of the identity operator, which maps any quantum state to itself ($I|\psi\rangle = |\psi\rangle$). This is a trivial piece of common knowledge inherent to the axioms of linear algebra and quantum theory, making paper citations unnecessary.
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