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Published October 1, 1926 | public
Journal Article Open

Operator calculus and the solution of the equations of quantum dynamics

Eckart, Carl

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)].

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.

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August 21, 2023
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October 16, 2023