Constructing Quantum Mechanics Volume Two: The Arch, 1923-1927

This is the second of two volumes on the genesis of quantum mechanics in the first quarter of the 20th century. It covers the period 1923-1927. After covering some of the difficulties the old quantum theory had run into by the early 1920s as well as the discovery of the exclusion principle and electron spin, it traces the emergence of two forms of the new quantum mechanics, matrix mechanics and wave mechanics, in the years 1923-27. It then shows how the new theory took care of some of the failures of the old theory and put its successes on a more solid basis. Finally, it shows how in 1927 the two forms of the new theory were unified, first through statistical transformation theory, then through the Hilbert space formalism. This volume provides a detailed analysis of the classic papers by Heisenberg, Born, Jordan, Dirac, De Broglie, Einstein, Schrödinger, von Neumann and other authors. Drawing on the correspondence of these and other physicists, their later reminiscences and the extensive secondary literature on the

Table of Contents:
8: Introduction to Volume 2 III. Transition to the New Quantum Theory 9: The Exclusion Principle and Electron Spin 10: Theory in the Old Quantum Theory 11: Umdeutung paper 12: Consolidation of Matrix Mechanics 13: Broglie's Matter Waves and Einstein's Quantum Theory of the Ideal Gas 14: and Wave Mechanics 15: and Failures of the Old Quantum Theory Revisited IV. The Formalism of Quantum Mechanics and Its Statistical Interpretation 16: Interpretation of Matrix and Wave Mechanics 17: Neumann's Hilbert Space Formalism 18: Arch and Scaffold Appendices C. The Mathematics of Quantum Mechanics

About the Author :
Michel Janssen studied physics and philosophy at the University of Amsterdam and history and philosophy of science at the University of Pittsburgh, where he earned his PhD in 1995. He was an editor at the Einstein Papers Project before joining the School of Physics and Astronomy at the University of Minnesota as a historian of science in 2000. He has also been a regular visitor at the Max Planck Institute for History of Science in Berlin. His research focuses on the genesis of relativity and quantum theory. Anthony Duncan received his PhD in theoretical elementary particle physics in 1975 from the Massachusetts Institute of Technology, under the supervision of Steven Weinberg. Following postdoctoral and junior faculty positions at the Institute for Advanced Study in Princeton and Columbia University in New York, he joined the faculty of the Department of Physics and Astronomy at the University of Pittsburgh in 1981 as Associate Professor of Physics. He has taught a wide range of courses, both at the undergraduate and graduate level, including courses on the history of modern physics. He is now (since 2015) Professor Emeritus of Physics at the University of Pittsburgh.

Review :
At the top of the scaffold, the arch! In Volume 1, Duncan and Janssen told the intricate story of the long struggles in the first twenty years of the emergence of quantum mechanics. Now, in The Arch, they give a definitive analysis of the climactic and brilliant mid-1920s, with the formulation of matrix and wave mechanics. It is an extraordinary achievement: all future work on this topic starts here. Duncan and Janssen have done something courageous and even audacious. They have surveyed the sprawling, multi-stranded, twenty-seven year saga of the birth and consolidation of modern quantum mechanics and produced a systematic description of the main conceptual advances, in historical context. I expect it will become a unique reference for interested scientists and historians. The book is rendered suitable for classroom use, albeit at the higher undergraduate or graduate levels.