| 1. | This implies that infinitesimal transformations are transformed with a Hermitian operator.
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| 2. | Let us consider a Hermitian operator \ mathcal { O }.
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| 3. | So far, H is only an abstract Hermitian operator.
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| 4. | Hermitian operators then follow for infinitesimal transformations of a classical polarization state.
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| 5. | :Uncertainty principle aside, most wavefunctions are not eigenvectors of most Hermitian operators.
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| 6. | The real functions correspond to the Hermitian operators.
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| 7. | A further property of a Hermitian operator is that eigenfunctions corresponding to different eigenvalues are orthogonal.
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| 8. | Reciprocity is closely related to the concept of Hermitian operators from linear algebra, applied to electromagnetism.
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| 9. | The complex vector space and physical observables are identified with Hermitian operators that act on this Hilbert space.
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| 10. | Thus, energy conservation requires that infinitesimal transformations of a polarization state occur through the action of a Hermitian operator.
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