The Force due to Electromagnetic Fields

Before we study the interaction between the electrons in a molecule and classical electromagnetic fields, we should review briefly the relevant equations from classical electromagnetism. 

The force F of an electromagnetic field on a particle with charge q and called the Lorentz force and is given as mass m is 

These relations can be derived from Maxwell s equations in vacumn  

One possible solution to Eqs. (2.33) and (2.34) for the case of a static and homogeneous electric field and magnetic induction B are the potentials 

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