Constructing Quantum Mechanics Volume Two: The Arch: 1903‒1927 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780198883913, 0198883919

Product details:

• ISBN-10: 0198883919
• ISBN-13: 9780198883913
• Author: Michel Janssen, Anthony Duncan
  

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 “quantum revolution”, this volume places these papers in the context of the discussions out of which modern quantum mechanics emerged. It argues that the genesis of modern quantum mechanics can be seen as the construction of an arch on a scaffold provided by the old quantum theory, discarded once the arch could support itself.

Table contents:

8 Introduction to Volume 2

Part III Transition to the New Quantum Theory

9 The Exclusion Principle and Electron Spin

10 Dispersion Theory in the Old Quantum Theory

11 Heisenberg’s Umdeutung Paper

12 The Consolidation of Matrix Mechanics: Born–Jordan, Dirac and the Three-Man-Paper

13 De Broglie’s Matter Waves and Einstein’s Quantum Theory of the Ideal Gas

14 Schrödinger and Wave Mechanics

15 Successes and Failures of the Old Quantum Theory Revisited

Part IV The Formalism of Quantum Mechanics and Its Statistical Interpretation

16 Statistical Interpretation of Matrix and Wave Mechanics

17 Von Neumann’s Hilbert Space Formalism

18 Conclusion: Arch and Scaffold

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