磁偶极矩[Magnetic Dipole Moment] - 达人(其实～我是卧底，来自外星)

2005/09/26 | 磁偶极矩[Magnetic Dipole Moment]
类别(Ω〖物理〗) | 评论(0) | 阅读(144) | 发表于 21:20: In cgs, the magnetic dipole moment caused by a current loop carrying current[u] I is given by
(1)

where c is the [u]speed of light, is a differential element of length, and A is the directed area enclosed by the current loop. In MKS,
(2)

For an electron with azimuthal quantum number l, the magnetic dipole moment is given classically by

(3)

where I is the "current" caused by the orbiting of the electron, A is the enclosed area, T is the "period" of the electron's orbit, r is the radius, is the charge on the electron, v is the speed of the electron, L is the angular momentum, is the mass of the electron, and is the Bohr magneton. Writing in the usual form,
(4)

where is the orbital gyromagnetic ratio and is h-bar.
The z-component of the electron orbital magnetic dipole moment is then
(5); 0