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磁偶极矩[Magnetic Dipole Moment] [2005-9-26]
iamet 发表在 Ω〖物理〗
| 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) |
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