Äquivalente Operatoren der Wechselwirkung zwischen Atomen und elektromagnetischem Feld

✍ Scribed by Dr. Heinz Steudel

• Publisher: John Wiley and Sons
• Year: 1972
• Tongue: English
• Weight: 533 KB
• Volume: 483
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.19724830109

✦ Synopsis

As well-known the dynamical interaction theory of molecules or atoms with the electromagnetic field may be based alternatively on one of two HAMILTONirtns, ' H or =R, where the vector potential appears in the interaction term of ' H while this of =His expressed in terms of the electric and the magnetic field strength coupled to atomic multipoles.

Using a calculus of transversal functional derivation with respect to a vector function we show that we can go from ' H to ITH by a comperatively simple canonical transformation which may be interpreted within the classical theory as well as within as the quantized theory.

The equivalence of both HAMILTONianS is lost if, a s customary in quantum optics, only a few atomic levels are taken into account. We give a plausible argument that in this case t,he multipole HAMILToNian ITH is more suitable.