自伴算子
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densely defined operator on a Hilbert space whose domain coincides with that of its adjoint and which equals its adjoint; symmetric operator whose adjoint's domain equals its own domain
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Article · 中文
在數學裏，作用於一個有限維的内积空間，一個自伴算子（self-adjoint operator）等於自己的伴隨算子；等價地說，在一组单位酉正交基下，表達自伴算子的矩陣是埃爾米特矩陣。埃爾米特矩陣等於自己的共軛轉置。根據有限維的譜定理，必定存在著一個正交歸一基，可以表達自伴算子為一個實值的對角矩陣。
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