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What is a Hermitian operator?

Updated: 8/11/2023
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15y ago

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A Hermitian operator is any linear operator for which the following equality property holds: integral from minus infinity to infinity of (f(x)* A^g(x))dx=integral from minus infinity to infinity of (g(x)A*^f(x)*)dx, where A^ is the hermitian operator, * denotes the complex conjugate, and f(x) and g(x) are functions. The eigenvalues of hermitian operators are real and their eigenfunctions are orthonormal.

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14y ago

A Hermitian operator has real eigenvalues and is its own conjugate transpose. They always correspond to real observables.

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