By W.-H Steeb

ISBN-10: 3411150610

ISBN-13: 9783411150618

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**Example text**

6 Atomic spectra and the Bohr hypotheses 25 (iv) From what we have said it follows that all frequencies of the emission spectrum are obtained by taking diﬀerences of the frequencies of the absorption spectrum: |νn −νm | = |(En −E1 )/h−(Em −E1 )/h| = |(En −Em )/h| = νn,m . 3) This property, which was already well known to spectroscopists prior to Bohr’s work, was known as the Ritz combination principle. 4) where n and m are integers, with m ﬁxed and R being the Rydberg constant. e. 5) of arbitrary pairs of elements of I.

By doing so, we might try to decrease the amount of momentum given to the electron arbitrarily. Of course, this argument is incorrect, since it does not take into account the fact that, once λ has been ﬁxed, the intensity cannot be decreased by an arbitrary amount, by virtue of the fundamental equation λp = h. Chapters 4 and 5 are devoted to the systematic development of wave mechanics. Further material on the foundations of quantum theory can be found in the work by Ter Haar (1967), van der Waerden (1968), Mehra and Rechenberg (1982a–f, 1987a,b).

In passing through the slits, light is diﬀracted. e. 6). Another device is the Fresnel biprism (Born and Wolf 1959): the monochromatic light emitted from S is incident on two coupled prisms P1 18 Experimental foundations of quantum theory A fringes S B L Fig. 6 Diﬀraction pattern from a double slit. and P2 ; light rays are deviated from P1 and P2 as if they were emitted from two (virtual) coherent sources S and S . 7). S′ P1 S P2 S′′ L Fig. 7 Diﬀraction from a biprism. 5 Interference experiments 19 S′ S + - S′′ L Fig.

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