Self-adjoint operator

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Self-adjoint operator. 1 connected concept: Hilbert space (related to).

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Community · Hilbert space

Summary

In mathematics, a self-adjoint operator on a complex vector space with inner product is a linear map that is its own adjoint.

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Connections1

Operators with real eigenvalues and orthogonal eigenvectors
Self-adjoint operators are the Hilbert space analogue of symmetric matrices, forming the basis for observables in quantum mechanics.
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Facts