ISSN: 1813-0410

Author : Ahmed Ali, Abbas

The interaction of heigh frequency electromagnetic field with the electrons of atom using relativistic quantum mechanics.

Abbas Ahmed Ali

journal of kerbala university, Volume 9, Issue 4, Pages 158-174

when electromagnetic wave interact with electron of an atom the electron can be translat between two discrete levels The initial and final state belongs to discrete eigin values. But if the frequency of the incident wave is large enough to free the electron, the final state will be belongs to continuous spectrum.
There are two cases. If the frequency is very high in such a way that the free electron emit's from the atom have very high speed and can be compared with the velocity of light in this case we must use Dirac equation and we must find the cross-section of interaction of the electromagnetic wave with the electron and use Dirac-eq to find the final wave function of electron .i.e we must use relativistic quantum –mechanics to do that. In the case that the frequency of the electromagnetic wave is small we can use classical quantum mechanics where many scientist's did that and find result's agree with experiment's