The 1925 Born and Jordan paper "on quantum mechanics"

  title={The 1925 Born and Jordan paper "on quantum mechanics"},
  author={William A. Fedak and Jeffrey J. Prentis},
  journal={American Journal of Physics},
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
From Weyl to Born-Jordan quantization: The Schrödinger representation revisited
Abstract The ordering problem has been one of the long standing and much discussed questions in quantum mechanics from its very beginning. Nowadays, there is more or less a consensus among physicistsExpand
Born?Jordan quantization and the uncertainty principle
The Weyl correspondence and the related Wigner formalism lie at the core of traditional quantum mechanics. We discuss here an alternative quantization scheme, the idea of which goes back to Born andExpand
Preferred quantization rules: Born–Jordan versus Weyl. The pseudo-differential point of view
There has recently been evidence for replacing the usual Weyl quantization procedure by the older and much less known Born–Jordan rule. In this paper we discuss this quantization procedure in detailExpand
QBism: Quantum Theory as a Hero's Handbook
This paper represents an elaboration of the lectures delivered by one of us (CAF) during "Course 197 -- Foundations of Quantum Physics" at the International School of Physics "Enrico Fermi" inExpand
A response to the Mucino-Okon-Sudarsky's Assessment of Relational Quantum Mechanics
The problem of quantum physics is not that we have no way of making sense of it. The problem is that we have many ways of making sense of it. But each of these comes with a high conceptual price.Expand
Quantum (Non-commutative) Toric Geometry: Foundations
In this paper, we will introduce Quantum Toric Varieties which are (non-commutative) generalizations of ordinary toric varieties where all the tori of the classical theory are replaced by quantumExpand
Introducing Quantum Mechanics in High Schools: A Proposal Based on Heisenberg’s Umdeutung †
Teaching and learning QM at high school as well as the undergraduate level is a highly non-trivial task. Indeed, major changes are required in understanding the new physical reality, and studentsExpand
The equilibrium classical scatter spectrum of waves
Regardless of the unspecific notions of photons as light complexes, radiation bundles or wave packets, the radiation from a single state transition is at most a single continuous wave train thatExpand
On Quantization of a Slowly Rotating Kerr Black Hole in Teleparallel Gravity
In this article we calculate the total angular momentum for Kerr space-time for slow rotations in the context of teleparallel gravity. In order to analyze the role of such a quantity, we apply WeylExpand
The emancipation of chemistry
In his classic work The Mind and its Place in Nature published in 1925 at the height of the development of quantum mechanics but several years after the chemists Lewis and Langmuir had already laidExpand


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 HeisenbergExpand
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. ThisExpand
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 theExpand
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 majorExpand
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. ByExpand
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, himselfExpand
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 thisExpand
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 asExpand