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Self-adjoint operators are used in functional analysis and quantum mechanics. In quantum mechanics their importance lies in the Dirac–von Neumann formulation.

2020年6月27日 — 定義：Self-Adjoint Operator​​ 是一個內積空間，若 T ∈ L ( V ) 滿足： T ∗ = T. 則稱 為「自伴」(self-adjoint) 。 由此顯然可以發現「自伴 常態」。 ...

2021年3月5日 — The operator T∈L(V) defined by T(v)=[21+i1−i3]v is self-adjoint, and it can be checked (e.g., using the characteristic polynomial) that the ...

In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. a = a ∗ -displaystyle a=a^*}} -displaystyle ...

Self-adjoint operators are a special class of symmetric operators where by a symmetric operator A with a dense domain D in H we mean a linear operator A : D −→ ...

2020年6月4日 — An operator on a finite-dimensional inner product space is self-adjoint if and only if its eigenvalues are real and its eigenspaces are orthogonal and sum ( ...

2014年5月9日 — A is essentially self-adjoint if A is symmetric and its closure is self-adjoint (such an operator admits a unique self-adjoint extension, namely its closure).