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单词 Ket vector
释义

Ket vector

中文百科

狄拉克符号 Bra–ket notation

(重定向自Ket vector)

狄拉克符号狄拉克标记英语:Dirac notation)是量子力学中广泛应用于描述量子态的一套标准符号系统。在这套系统中,每一个量子态都被描述为希尔伯特空间中的态矢量,定义为右矢ket):|\psi\rangle;每一个右矢的共轭转置定义为其左矢bra):\langle\psi|

此标记法为狄拉克于1939年将「bracket」(括号)这个词拆开后所造的。在中国方面,一些旧有的教科书和文献中也将其译为“刁矢”和“刃矢”、或“彳矢”和“亍矢”,现已弃用。

英语百科

Bra–ket notation 狄拉克符号

(重定向自Ket vector)
3d real vector components and bases projection; similarities between vector calculus notation and Dirac notation. Projection is an important feature of the Dirac notation.
Discrete components Ak of a complex vector |A⟩ =  ∑k Ak|ek⟩, which belongs to a countably infinite-dimensional Hilbert space; there are countably infinitely many k values and basis vectors |ek⟩.Continuous components ψ(x) of a complex vector |ψ⟩ = ∫ dx ψ(x)|x⟩, which belongs to an uncountably infinite-dimensional Hilbert space; there are infinitely many x values and basis vectors |x⟩.Components of complex vectors plotted against index number; discrete k and continuous x. Two particular components out of infinitely many are highlighted.

In quantum mechanics, bra–ket notation is a standard notation for describing quantum states, composed of angle brackets and vertical bars. It can also be used to denote abstract vectors and linear functionals in mathematics. In such terms, the scalar product, or action of a linear functional on a vector in a complex vector space, is denoted by

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更新时间:2025/6/19 1:00:47