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Problems of quantum theory in the light of the theory of perturbations

Epstein, Paul S. (1922) Problems of quantum theory in the light of the theory of perturbations. Physical Review, 19 (6). pp. 578-608. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:EPSpr22

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Abstract

1. It is shown in the following paper that the physical purport of Delannay's method in the theory of perturbations consists in successive approximation of a given motion by means of a set of conditionally periodic motions. 2. It is further shown, that at every degree of approximation two possible cases must be taken into account. In the one the motion of the system is periodic with respect to a certain variable, in the other this variable performs a libration. 3. In both cases formulæ for carrying through the calculations are given, fit for the purposes of the theory of quanta. 4. A modification of Delaunay's method, due to Whittaker is applicable to one of the two cases only and is therefore incomplete. 5. Delaunay's method (in our modification) quite automatically yields at every degree of approximation the special coördinates, looked for in the theory of quanta.


Item Type:Article
Additional Information:©1922 The American Physical Society. Received September 1921. I should not like to conclude without expressing my sincere thanks to Mr. I. S. Bowen, who kindly looked through the manuscript of this paper, correcting and smoothing my English style.
Record Number:CaltechAUTHORS:EPSpr22
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:EPSpr22
Alternative URL:http://dx.doi.org/10.1103/PhysRev.19.578
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4283
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Aug 2006
Last Modified:26 Dec 2012 08:58

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