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Operator calculus and the solution of the equations of quantum dynamics

Eckart, Carl (1926) Operator calculus and the solution of the equations of quantum dynamics. Physical Review, 28 (4). pp. 711-726. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:ECKpr26b

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Abstract

A formal calculus is developed which includes the Born and Jordan matrix dynamics, and also the remarkable quantum condition of Schroedinger. A method for the calculation of the matrices which is in close analogy to the classical Hamilton-Jacobi method of solving dynamical problems is explained. These results have been obtained independently by E. Schroedinger [Ann. d. Physik. 79, 734 (1926)].


Item Type:Article
Additional Information:©1926 The American Physical Society. Received 7 June 1926. The author is glad to have this opportunity to acknowledge his indebtedness to Professor M. Born, whose excellent lectures at this Institute formed his introduction to this subject; to Professor P. S. Epstein, and to Doctor F. Zwicky, whose helpful discussion and criticism have contributed much to this paper; and to his colleagues in the Seminar on Theoretical Physics, who have reported on the various papers related to this subject as they appeared.
Record Number:CaltechAUTHORS:ECKpr26b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ECKpr26b
Alternative URL:http://dx.doi.org/10.1103/PhysRev.28.711
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5120
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:02 Oct 2006
Last Modified:26 Dec 2012 09:03

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