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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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19

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Quantum operators

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19.1  Show that the commutator of two operators that correspond to two physical observables cannot itself correspond to another physical observable.

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Let the two operators be A and B, both of which must be Hermitian since they correspond to physical variables, and consider the Hermitian conjugate of their commutator:

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Thus, the ...

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