This is the mathematical expression of the fact that Force is the gradient of Potential Energy.
A potential energy can be defined for any purely conservative force. Potential energy is a scalar and Force is a vector.
The force vector
When a magnet of dipole moment (
In the Stern-Gerlach Experiment the external magnetic field is directed parallel to
The approximately symbol is there because it is not practical to get an inhomogeneous magnetix field with purely
When silver atoms carrying a magnetic moment enters this inhomogeneous magnetic field, it will experience a force depending on the relative strengths and directions of its magnetic moment vector (