Unitary Operators

An operator is Unitary if its inverse equal to its adjoints: U-1 = U+ or UU+ = U+U = I. In quantum mechanics, unitary operator is used for change of basis.

2018年4月24日 — For finite dimensional inner product spaces, every 1-1 operator is also an isomorphism. However, unitary operators are special isomorphisms ...

A unitary operator is a bounded linear operator U : H → H on a Hilbert space H that satisfies U*U = UU* = I, where U* is the adjoint of U, and I : H → H is the identity operator. The weaker condition U*U = I defines an isometry. The other condition, UU* =

2023年11月9日 — Unitary operators are the isomorphisms of Hilbert spaces since they preserve the basic structure of the space, e.g. the topology. The group of ...

A unitary operator preserves the ``lengths'' and ``angles'' between vectors, and it can be considered as a type of rotation operator in abstract vector space.

2019年9月29日 — A unitary operator (like a unitary matrix) is an operator that can change either the coordinates or the state itself. The requirement is that it ...

在泛函分析中，么正算符（英語：unitary operator，或稱酉算符）是定義在希爾伯特空間上的有界線性算符U : H → H，滿足如下規律：.

A unitary operator is a bounded linear operator U : H → H on a Hilbert space H that satisfies U*U = UU* = I, where U* is the adjoint of U, and I : H → H is the identity operator. The weaker condition U*U = I defines an isometry. The other condition, UU* =