Ludwig / Ter Haar Wave Mechanics

Selected Reading in Physics
1. Auflage 2018
ISBN: 978-1-4831-4580-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 236 Seiten, Web PDF

Selected Readings in Physics: Wave Mechanics provides information pertinent to the fundamental aspects of wave mechanics. This book discusses the discovery of quantum mechanics. Organized into two parts encompassing five chapters and eight papers, this book begins with an overview of the essential parts of a theory, including a mathematical system, a domain of determinable facts, and a system of prescriptions correlating mathematical quantities and physical facts. This text then describes the classical model of electrons as mass points. Other chapters consider the connections between mathematically calculated quantities and physically measured quantities. This book discusses as well the relationship between the concepts of frequency and energy. The final paper deals with the theory of collision processes in which the transition probabilities are determined by the asymptomatic behavior of aperiodic solutions. This book is a valuable resource for physicists, scientists, and research workers.

Autoren/Hrsg.

Ludwig, Gunter

Ter Haar, D.

Inhaltsverzeichnis

1;Front Cover;1
2;Wave Mechanics;4
3;Copyright Page;5
4;Table of Contents;6
5;PART 1;8
5.1;CHAPTER I. Historical Development and Deductive Construction of a Theory;10
5.2;CHAPTER II. The Two Routes to Quantum Mechanics;15
5.2.1;1. The Particle Picture of Classical Mechanics;15
5.2.2;2. From Point Mechanics to Matrix Mechanics;24
5.2.3;3. From Point Mechanics to Wave Mechanics;32
5.3;CHAPTER III. Matrix Mechanics and Wave Mechanics as Representations of Mathematical Structures in Hilbert Space;39
5.4;CHAPTER IV. The Physical Interpretation of Quantum Mechanics;52
5.5;CHAPTER V. Temporal Development of the Physical Quantities;73
6;PART 2;78
6.1;PAPER 1. Investigations on Quantum Theory;80
6.1.1;Introduction;80
6.1.2;Chapter 1. The Phase Wave;81
6.1.3;Chapter 2. The Maupertuis and the Fermat Principles;87
6.1.4;Chapter 3. The Quantum-Theoretical Stability Conditions of Paths;98
6.2;PAPER 2. Quantization as an Eigenvalue Problem;101
6.3;PAPER 3. Quantization as an Eigenvalue Problem;113
6.3.1;1. The Hamiltonian Analogy between Mechanics and Optics;113
6.3.2;2. "Geometrical" and "Undulatory" Mechanics;121
6.3.3;3. Applications;130
6.4;PAPER 4. On the Relationship of the Heisenberg— Born—Jordan Quantum Mechanics to Mine;134
6.4.1;1. Introduction and Synopsis;134
6.4.2;2. The Assignment of an Operator and a Matrix to a Well-Arranged Function Symbol and the Confirmation of the Product Rule;137
6.4.3;3. Heisenberg's Quantum Condition and the Rules for Partial Differentiation;141
6.4.4;4. The Solution of Heisenberg's Equations of Motion;144
6.4.5;5. Comparison of the Two Theories. Glimpse at a Classical Relationship of the Intensity and Polarization of the Emitted Radiation;151
6.5;PAPER 5. Quantization as an Eigenvalue Problem;158
6.5.1;1. Elimination of the Energy Parameter from the Oscillation Equation. The True Wave Equation. Non-Conservative Systems;158
6.5.2;2. Extension of the Perturbation Theory to Perturbations explicitly containing the Time. Dispersion Theory;161
6.5.3;7. The Physical Significance of the Field Scalar;169
6.6;PAPER 6. The Interpretation of Kinematic and Mechanical Relationships according to the Quantum Theory;175
6.7;PAPER 7. Quantum Mechanics;190
6.7.1;Introduction;190
6.7.2;Chapter 1. Matrix Calculation;191
6.7.3;Chapter 2. Dynamics;197
6.8;PAPER 8. Quantum Mechanics of Collision Processes;213
6.8.1;Introduction;213
6.8.2;1. Definition of the Weights and Frequencies for Periodic Systems;215
6.8.3;2. Aperiodic Systems;217
6.8.4;5. Generalization to Three Degrees of Freedom. Inertial Motion;221
6.8.5;6. Elastic Collisions;222
6.8.6;7. Inelastic electron collisions;226
6.8.7;8. Physical Consequences;229
6.8.8;9. Closing Remarks;231
7;Index;234