unitaryoperator

Aunitaryoperatorpreservesthe``lengths''and``angles''betweenvectors,anditcanbeconsideredasatypeofrotationoperatorinabstractvectorspace.,AunitaryoperatorisaboundedlinearoperatorU:H→HonaHilbertspaceHsuchthatUissurjectiveandUstorestheinnerproductoftheHilbertspaceH.,IntheSchrödingerpicture,theunitaryoperatorsaretakentoactuponthesystem'squantumstate,whereasintheHeisenbergpicture,thetimedependenceis ...

Unitary Operators

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.

Unitary Operator: Most Up-to

A unitary operator is a bounded linear operator U : H → H on a Hilbert space H such that U is surjective and U stores the inner product of the Hilbert space H.

Unitarity (physics)

In the Schrödinger picture, the unitary operators are taken to act upon the system's quantum state, whereas in the Heisenberg picture, the time dependence is ...

Unitary matrix

In linear algebra, an invertible complex square matrix U is unitary if its matrix inverse U−1 equals its conjugate transpose U*, that is, if.

Unitary transformation (quantum mechanics)

It does this by relating changes in the state of the system to the energy in the system (given by an operator called the Hamiltonian). Therefore, once the ...

Mathematics

2023年4月8日 — In functional analysis, a unitary operator is a surjective bounded operator on a Hilbert space that preserves the inner product.

么正算符

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:.