Operator Calculus and the Solution of the Equations of Quantum Dynamics
Physical ReviewPublished 1 October 1926
Carl Eckart
Citations128
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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)].
Keywords
Physics and Astronomy
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The purpose of this paper is to show, in a purely formal way, that the Schroedinger equation must be the basis for the Born, Jordan and Heisenberg matrix calculus.