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Moulton F.R.
Periodic orbits
The carnegie institution of Washington. 1963. In-8. Relié. Bon état, Couv. convenable, Dos satisfaisant, Intérieur frais. 524 pages.. . . . Classification Dewey : 520-Astronomie et sciences connexes
Reference : R260270550
Etiquette sur coiffe en pied. Tampon bibliothèque. texte écrit en anglais.Exemplaire numéroté N°161. Classification Dewey : 520-Astronomie et sciences connexes
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2 book(s) with the same title
Periodic Orbits [Acta Mathematica] (+) Periodic orbits [Mathematische Annalen]. - [PERIODIC ORBITS]
Stockholm, Beijer, 1897 (+) Leipzig, B. G. Teubner, 1899. [Acta Mathematica] 4to. As extracted from ""Acta Mathematica, 21. Band]. No backstrip. Fine and clean. Pp. 99-242 + 4 plates. [Mathematische Annalen] 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Herausgegeben von A. Clebsch und C. Neumann. 51. Band. 4. Heft."" Entire issue offered. A fine and clean copy. [Darwin:] Pp. 523-583. [Entire issue: Pp. 481-607 + 4 plates.].
First printing of Darwin's famous paper (including the abridgement published two years later) which contained the first systematic search for periodic orbits and work on the three body problem. ""The paper, which had taken him three years to complete, contained the numerical calculations of periodic solutions of the restricted three body problem, together with a discussion of their stability. It provided not only extensive details of the numerical results but also a full description of the mathematical methods used to obtain them."" (Barrow-Green, Poincaré and the three body problem, P. 194). Darwin was introduced to the three body problem through the works of Poincare. Following his accession to the Plumian chair Darwin delved even more deeply into the problems of the origin and evolution of the solar system, making numerous investigations of the figures of equilibrium of rotating masses of fluid and, later, making extensive studies of periodic orbits in the restricted problem of three bodies, carried out with special reference to cases obtaining for the particular values of the mass ratio of the two finite bodies of 1:10 and 1:1048 (the latter approximating the mass ratio of Jupiter to that of the sun). (DSB)
"VAN VLECK, J.H. - TOWARDS QUANTUM MECHANICS, THE CORRESPONDENCE PRINCIPLE.
Reference : 47166
(1924)
The Absorption of Radiation by multiply periodic Orbits, and its relation to the Correspondence Principle and the Rayleigh-Jeans Law. Part I- (II). (I. Some Extensions of the Correspondence Principle. - II. Calculation of Absorption by multiply period...
Corning, N.Y., and Menasha, Wisc., The Physical Review, 1924. Royal8vo. Full buckram. Gilt lettering to spine. A stamp to top of titlepage and to front free endpaper. In: ""The Physical Review. A Journal of Experimental and theoretical Physics"", Vol. 24, Second Series. V,704 pp., textillustr. Van Vleck's papers: pp. 330-346 a. pp. 347-365. Internally clean and fine.
First appearance of Van Vleck's two importent papers in which he clarifies and extends the Principle of Correspondence.""Van Vleck made his greatest contribution to the old quantum theory in 1924, when he conceived his correspondence principle for absorption. He demonstrated that in the limit of high quantum numbers there would be a correspondence between absorption by classical, multiply periodic systems, and by their quantum analogues. His proof depended on interpreting net absorption in the quantum theory as the difference between gross absorption and stimulated emission of radiation (an interpretation prompted by a remark of Breit’s). Van Vleck was particularly pleased that his classical theory reproduced the quantum result without the need for stimulated emission, which he referred to as ""negative absorption."" (DSB).""Van Vleck’s theory of absorption by multiply periodic systems was consistent with the newly derived Kramers theory of dispersion, and it convinced Bohr that his correspondence principle applied not only to emission but also to absorption. Further, Van Vleck’s 1924 calculation made use of several of the ideas that Werner Heisenberg used in his matrix mechanics a year later. Van Vleck’s work, however, did not lead in the direction of matrix mechanics. His intent was to explain quantum phenomena (especially ""negative absorption"") in classical terms rather than to devise an internally consistent quantum theory."" (DSB).In 1977 he shared the Nobel Prize with Philip Anderson and N. F. Mott.Van der Waerden ""Sources of Quantum Mechanics"", pp. 203 ff.
