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词汇 Axial vector
分类 英语词汇 英语翻译词典
释义

Axial vector

中文百科

赝矢量 Pseudovector

(重定向自Axial vector)
一个载有电流的线圈(黑色)会产生磁场(蓝色)。若线圈的位置和电流都对应点线镜面反射,其产生的磁场不会是原磁场的镜面反射,会是原磁场反射后,再加以反向。线圈的位置和电流是矢量,但产生的磁场是赝矢量[1]
一部要远离的车,各轮子对一观察者产生的角动量为向右的,这部车产生的镜像,各轮子对同一观察者产生的角动量也是向右的
En la inversión del signo de dos vectores, su producto vectorial es invariante.
Der Drehimpuls L als Beispiel eines Pseudovektors - während Ortsvektor r und Impuls m·v bei Punktspiegelung ihre Richtung umkehren, bleibt die des Drehimpulses L=m·r×v unverändert.

赝矢量英语:Pseudovector)也称为伪矢量,指的是在瑕旋转下,除了随之反射外,还会再上下翻转的矢量(因为右手定则的关系)。矢量(极矢量)和赝矢量(轴矢量)都是广义上的矢量,在一般旋转下的特性相同。但更严格地说,矢量还要求在瑕旋转下,除了空间反衍外,不会再改变方向。

在三维空间中,赝矢量p可以表示为二个极矢量ab的外积:

以此方式计算的p是赝矢量,其中一个例子是有向平面的法矢量。有向平面可以用二个不平行的矢量ab来定义。矢量a × b垂直此平面(和平面垂直的矢量有二个,其方向恰好相反,可以用右手定则决定是哪一个),为一赝矢量。

英语百科

Pseudovector 赝矢量

(重定向自Axial vector)
A loop of wire (black), carrying a current I, creates a magnetic field B (blue). If the position and current of the wire are reflected across the plane indicated by the dotted line, the magnetic field it generates would not be reflected: Instead, it would be reflected and reversed. The position of the wire and its current are vectors, but the magnetic field B is a pseudovector.[1]
 Each wheel of a car driving away from an observer has an angular momentum pseudovector pointing left. The same is true for the mirror image of the car.
Under inversion the two vectors change sign, but their cross product is invariant [black are the two original vectors, grey are the inverted vectors, and red is their mutual cross product].
Der Drehimpuls L als Beispiel eines Pseudovektors - während Ortsvektor r und Impuls m·v bei Punktspiegelung ihre Richtung umkehren, bleibt die des Drehimpulses L=m·r×v unverändert.

In physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation, but in three dimensions gains an additional sign flip under an improper rotation such as a reflection. Geometrically it is the opposite, of equal magnitude but in the opposite direction, of its mirror image. This is as opposed to a true or polar vector, which on reflection matches its mirror image.

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