Capellmann The Development of Elementary Quantum Theory

1. Auflage 2017
ISBN: 978-3-319-61884-5
Verlag: Springer Nature Switzerland
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 98 Seiten

Reihe: SpringerBriefs in History of Science and Technology

This book traces the evolution of the ideas that eventually resulted in the elementary quantum theory in 1925/26. Further, it discusses the essential differences between the fundamental equations of Quantum Theory derived by Born and Jordan, logically comprising Quantum Mechanics and Quantum Optics, and the traditional view of the development of Quantum Mechanics. Drawing on original publications and letters written by the main protagonists of that time, it shows that Einstein's contributions from 1905 to 1924 laid the essential foundations for the development of Quantum Theory. Einstein introduced quantization of the radiation field; Born added quantized mechanical behavior. In addition, Born recognized that Quantum Mechanics necessarily required Quantum Optics; his radical concept of truly discontinuous and statistical quantum transitions ('quantum leaps') was directly based on Einstein's physical concepts.

Autoren/Hrsg.

Capellmann, Herbert

Inhaltsverzeichnis

1;Contents;6
2;Abstract;8
3;1 Introduction and Outline;9
4;2 The Fundamental Differences Between Classical and Quantum Physics;13
5;3 Planck'saut]Planck Quantum Hypothesis and Einstein'saut]Einstein Contributions to the Foundations of Quantum Theory;15
5.1;3.1 Einstein'saut]Einstein Quanta of Light;16
5.2;3.2 Einstein's Application of Quantization Concepts to the Properties of Matter;19
5.3;3.3 The Momentum and Energy Fluctuations of the Radiation Field;20
5.4;3.4 The Quantum Theory of Radiation;21
5.5;3.5 Boseaut]Bose Statistics, Indistinguishability of Particles, and Bose-Einstein Condensation;22
6;4 The ``Old Quantum Theory'';26
7;5 The Quantum Theory of Born, Heisenberg, and Jordan;30
7.1;5.1 aut]BornBorn's Discontinuous ``Quantenmechanik'';31
7.2;5.2 M. Bornaut]Born and P. Jordanaut]Jordan: ``Zur Quantentheorie Aperiodischer Vorgänge'';34
7.3;5.3 Werner Heisenbergaut]Heisenberg: ``Über Quantentheoretische Umdeutung Kinematischer und Mechanischer Beziehungen'';36
7.4;5.4 Maxaut]Born Born and Pascual Jordanaut]Jordan: ``Zur Quantenmechanik'';38
7.5;5.5 M. Born, W. Heisenbergaut]Heisenberg, P. Jordan: ``Zur Quantenmechanik II'';40
7.6;5.6 Pauli'saut]Pauli Solution of the Hydrogen Problem;42
7.7;5.7 Differences in Understandingaut]Born Between Born-Jordanaut]Jordan and Bohr-Heisenberg;42
7.8;5.8 Brief Summary of the New Quantum Theory;46
8;6 Continuous Representations of the New Quantum Laws;47
8.1;6.1 Kornel Lanczosaut]Lanczos: Field Theoretical Representations;47
8.2;6.2 Linear Hermitian Operators and ``Time Representation'';48
8.3;6.3 Wave Mechanics;49
8.4;6.4 De Broglie: Particles and Associated Phase-Waves;49
8.5;6.5 Schrödinger'saut]Schrödinger ``Position Representation'';50
8.6;6.6 Max Born: The Probabilistic Significance of Wave Functions;53
8.7;6.7 Brief Summary;55
9;7 The Consequences of the Basic Quantum Laws on Wave Phenomena and Quantum Uncertainties;56
9.1;7.1 The Solution to Einstein'saut]Einstein Problem: How to Connect Particle Properties and Wave Phenomena;56
9.2;7.2 Quantum Uncertainties;60
9.3;7.3 Bohr's Complementarity Principle and Dual Properties;63
10;8 Early Opposition to the Copenhagen Interpretation;65
10.1;8.1 Einstein's Understanding of Quantum Theory;67
11;9 Orthodox Portrayals of the Development of Quantum Mechanics, Comparison and Differences;74
12;10 Later Criticism of the Copenhagen Interpretation;80
13;General Conclusions;85
14;Appendix;88
15;Scattering Processes and the Basic Quantum Laws;88
16;Particle Properties and Diffraction Phenomena;89
17;Measuring the Quantum Mechanical Position Uncertainty;92
18;Remarks Concerning Field Quantization;93
19;Author Index;95
20;Subject Index;97