Absorption, Zerstreuung und Dispersion in der Bohrschen Atomtheorie

Ladenburg, R.; Reiche, Fritz

doi:10.1007/bf01554355

Cited by 58 publications

(40 citation statements)

References 19 publications

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“…( 1) and ( 14)). For a proper equivalence between the A n and a n to Einstein's coefficient for spontaneous emission, a ki , Darwin's result agreed with Ladenburg's equation (Ladenburg 1923, Mehra 1982b). The ansatz of a probabilistic secondary wavelet was, however, quite different from Ladenburg.…”

Section: Darwin's 1922 Theory Of Optical Dispersionmentioning

confidence: 56%

“…The sum covers excitation to all states above i and represents an initial mathematical incarnation of the harmonic oscillator which would become so prolificand "virtual" -by 1924. In 1923, Ladenburg and Fritz Reiche published a more rigorous theoretical justification of their dispersion relation and presented several relevant applications; the results, they argued, were based on the fact that the dispersion electrons could be described by the behavior of "Ersatzoszillatoren," each representing the frequency of a specific atomic transition (Ladenburg, 1923). Ladenburg's theory contained statistical excitations of the atom in the sense of Einstein and was conceptually different from the statistical approaches that led the authors of the future BKS theory to non-conservation.…”

Section: Toward Non-conservationmentioning

confidence: 99%

“…Bohr (Bohr, 1923) has suggested that atoms must become sources of spherical wavelets when radiation strikes them. Ladenburg and Reiche (Ladenburg, 1921(Ladenburg, , 1923 have given formulas for dispersion based essentially on the idea of such spherical wavelets. Neither of these suggestions has, however, gone as far as Darwin's theory in setting up a mechanism for the interaction between waves and atoms.…”

Section: Influence On John C Slatermentioning

confidence: 99%

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Charles Galton Darwin’s 1922 quantum theory of optical dispersion

Johnson

2020

EPJ H

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The quantum theory of dispersion was an important conceptual advancement which led out of the crisis of the old quantum theory in the early 1920s and aided in the formulation of matrix mechanics in 1925. The theory of Charles Galton Darwin, often cited only for its reliance on the statistical conservation of energy, was a wave-based attempt to explain dispersion phenomena at a time between the theories of Ladenburg and Kramers. It contributed to future successes in quantum theory, such as the virtual oscillator, while revealing through its own shortcomings the limitations of the wave theory of light in the interaction of light and matter. After its publication, Darwin’s theory was widely discussed amongst his colleagues as the competing interpretation to Compton’s in X-ray scattering experiments. It also had a pronounced influence on John C. Slater, whose ideas formed the basis of the BKS theory.

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Section: Darwin's 1922 Theory Of Optical Dispersionmentioning

confidence: 56%

Section: Toward Non-conservationmentioning

confidence: 99%

Section: Influence On John C Slatermentioning

confidence: 99%

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Charles Galton Darwin’s 1922 quantum theory of optical dispersion

Johnson

2020

EPJ H

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“…As a matter of fact, in 1921 Reiche had just been appointed to Breslau and started to discuss again on quantum theory with Ladenburg. In 1923 both friends wrote a paper together, which was based on Ladenburg's 1921 contribution (Ladenburg and Reiche, 1923).…”

Section: Ladenburg's Approachmentioning

confidence: 99%

Rudolf Ladenburg and the first quantum interpretation of optical dispersion

Taltavull

2020

EPJ H

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In 1921, the experimental physicist Rudolf Ladenburg put forward the first quantum interpretation of optical dispersion. Theoretical physicists had tried to explain dispersion from the point of view of quantum theory ever since 1913, when Niels Bohr proposed his quantum model of atom. Yet, their theories proved unsuccessful. It was Ladenburg who gave a breakthrough step toward our quantum understanding of dispersion. In order to understand Ladenburg’s step, I analyze Ladenburg’s experimental work on dispersion prior to 1913, the reasons why the first theories of dispersion after 1913 were not satisfactory, and Ladenburg’s 1921 proposal. I argue that Ladenburg’s early experimental work on dispersion is indispensable to understand his 1921 paper. The specific kind of experiments he performed before 1913, the related interpretative problems, and the way he tried to solve them, led him reapproach the dispersion problem in 1921 in a way that was completely different from the way theoretical physicists had done it before.

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“…This paper is important in its own right and underscores the key achievement of Van Vleck's two-part paper. Both Van Vleck (1924b,c) and Ladenburg and Reiche (1923) discuss the relation between quantum and classical expressions for emission, absorption, and dispersion in view of Bohr's correspondence principle. Van Vleck's discussion is impeccable in all three cases; Ladenburg and Reiche made serious errors in the case of both dispersion and absorption.…”

Section: Structure Of Our Papermentioning

confidence: 99%

On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part two

Duncan

Janssen

2007

Arch. Hist. Exact Sci.

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Absorption, Zerstreuung und Dispersion in der Bohrschen Atomtheorie

Cited by 58 publications

References 19 publications

Charles Galton Darwin’s 1922 quantum theory of optical dispersion

Charles Galton Darwin’s 1922 quantum theory of optical dispersion

Rudolf Ladenburg and the first quantum interpretation of optical dispersion

On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part two

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