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