The 1925 Born and Jordan paper "on quantum mechanics"

@article{Fedak2009The1B,
  title={The 1925 Born and Jordan paper "on quantum mechanics"},
  author={William A. Fedak and Jeffrey J. Prentis},
  journal={American Journal of Physics},
  year={2009},
  volume={77},
  pages={128-139}
}
The 1925 paper “On quantum mechanics” by M. Born and P. Jordan, and the sequel “On quantum mechanics II” by M. Born, W. Heisenberg, and P. Jordan, developed Heisenberg’s pioneering theory into the first complete formulation of quantum mechanics. The Born and Jordan paper is the subject of the present article. This paper introduced matrices to physicists. We discuss the original postulates of quantum mechanics, present the two-part discovery of the law of commutation, and clarify the origin of… Expand
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References

SHOWING 1-10 OF 21 REFERENCES
Understanding Heisenberg’s “magical” paper of July 1925: A new look at the calculational details
In July 1925 Heisenberg published a paper that ushered in the new era of quantum mechanics. This epoch-making paper is generally regarded as being difficult to follow, partly because Heisenberg… Expand
Energy conservation in quantum mechanics
In the classical mechanics of conservative systems, the position and momentum evolve deterministically such that the sum of the kinetic energy and potential energy remains constant in time. This… Expand
The fundamental equations of quantum mechanics
It is well known that the experimental facts of atomic physics necessitate a departure from the classical theory of electrodynamics in the description of atomic phenomena. This departure takes the… Expand
Quantum mechanics
Quantum mechanics (QM) is the modern physical theory of very small (microscopic) systems, typically atomic-sized or smaller. Along with Einstein's theory of relativity, QM represented a major… Expand
Quantum jumps and classical harmonics
We present an introduction to quantum mechanics based on the formal correspondence between the atomic properties of quantum jumps and the classical harmonics of the electron’s periodic motion. By… Expand
On the verge of Umdeutung in Minnesota: Van Vleck and the correspondence principle. Part one
In October 1924, The Physical Review, a relatively minor journal at the time, published a remarkable two-part paper by John H. Van Vleck, working in virtual isolation at the University of Minnesota.… Expand
Subtle Is the Lord: The Science and the Life of Albert Einstein
Since the death of Albert Einstein in 1955 there have been many books and articles written about the man and a number of attempts to "explain" relativity. In this new major work Abraham Pais, himself… Expand
Max Born and the quantum theory
The role of Max Born in the creation of the quantum theory is discussed. Some explanations as to why he received his Nobel Prize so late are offered.
Development of Concepts in the History of Quantum Theory
Editor’s note: The Editor heard Professor Heisenberg deliver the substance of this article as a lecture at Harvard University. We are grateful that permission has been granted to reprint this… Expand
II. A memoir on the theory of matrices
  • A. Cayley
  • Engineering
  • Philosophical Transactions of the Royal Society of London
  • 1858
The term matrix might be used in a more general sense, but in the present memoir I consider only square and rectangular matrices, and the term matrix used without qualification is to be understood as… Expand
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