- Autor(in)
- Referenz
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10 Steudel, H., Ann. Physik, Leipzig, 26 (1971) 219.
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- Seitenbereich
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0053 - 0063
- Zusammenfsg.
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As well-known the dynamical interaction theory of molecules or atoms with the electromagnetic field may be based alternatively on one of two H<small>AMILTON</small>ians, <sup>I</sup><I>H</I> or <sup>II</sup><I>H.</I> where the vector potential appears in the interaction term of <sup>I</sup><I>H</I> while this of <sup>II</sup><I>H</I> is expressed in terms of the electric and the magnetic field strength coupled to atomic multipoles.
The equivalence of both H<small>AMILTON</small>ians is lost if, as customary in quantum optics, only a few atomic levels are taken into account. We give a plausible argument that in this case the multipole H<small>AMILTON</small>ian <sup>II</sup><I>H</I> is more suitable.
Using a calculus of transversal functional derivation with respect to a vector function we show that we can go from <sup>I</sup><I>H</I> to <sup>II</sup><I>H</I> by a comperatively simple canonical transformation which may be interpreted within the classical theory as well as within as the quantized theory.
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