Eckart, Carl (1926) Operator calculus and the solution of the equations of quantum dynamics. Physical Review, 28 (4). pp. 711-726. ISSN 0031-899X. doi:10.1103/PhysRev.28.711. https://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 | ||||||
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| 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. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1103/PhysRev.28.711 | ||||||
| Record Number: | CaltechAUTHORS:ECKpr26b | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:ECKpr26b | ||||||
| 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: | 08 Nov 2021 20:22 |
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