Quantum Mechanics An Introduction
The text Quantum Mechanics - An Introduction has found many friends among physics students and researchers so that the need for a third edition has arisen. There was no need for a major revision of the text but I have taken the opportunity to make several amendments and improvements. A number of mis...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1994, 1994
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| Edition: | 3rd ed. 1994 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 7.5 Interpretation of â and â+
- 7.6 Biographical Notes
- 8. The Transition from Classical to Quantum Mechanics
- 8.1 Motion of the Mean Values
- 8.2 Ehrenfest’s Theorem
- 8.3 Constants of Motion, Laws of Conservation
- 8.4 Quantization in Curvilinear Coordinates
- 8.5 Biographical Notes
- 9. Charged Particles in Magnetic Fields
- 9.1 Coupling to the Electromagnetic Field
- 9.2 The Hydrogen Atom
- 9.3 Three-Dimensional Electron Densities
- 9.4 The Spectrum of Hydrogen Atoms
- 9.5 Currents in the Hydrogen Atom
- 9.6 The Magnetic Moment
- 9.7 Hydrogen-like Atoms
- 9.8 Biographical Notes
- 10. The Mathematical Foundations of Quantum Mechanics II
- 10.1 Representation Theory
- 10.2 Representation of Operators
- 10.3 The Eigenvalue Problem
- 10.4 Unitary Transformations
- 10.5 The S Matrix
- 10.6 The Schrödinger Equation in Matrix Form
- 10.7 The Schrödinger Representation
- 10.8 The Heisenberg Representation
- 10.9 The Interaction Representation
- 1. The Quantization of Physical Quantities
- 1.1 Light Quanta
- 1.2 The Photoelectric Effect
- 1.3 The Compton Effect
- 1.4 The Ritz Combination Principle
- 1.5 The Franck-Hertz Experiment
- 1.6 The Stern-Gerlach Experiment
- 1.7 Biographical Notes
- 2. The Radiation Laws
- 2.1 A Preview of the Radiation of Bodies
- 2.2 What is Cavity Radiation?
- 2.3 The Rayleigh-Jeans Radiation Law - The Electromagnetic Eigenmodes of a Cavity
- 2.4 Planck’s Radiation Law
- 2.5 Biographical Notes
- 3. Wave Aspects of Matter
- 3.1 De Broglie Waves
- 3.2 The Diffraction of Matter Waves
- 3.3 The Statistical Interpretation of Matter Waves
- 3.4 Mean (Expectation) Values in Quantum Mechanics
- 3.5 Three Quantum Mechanical Operators
- 3.6 The Superposition Principle in Quantum Mechanics
- 3.7 The Heisenberg Uncertainty Principle
- 3.8 Biographical Notes
- 4. Mathematical Foundations of Quantum Mechanics I
- 4.1 Properties of Operators
- 4.2 Combining Two Operators
- 10.10 Biographical Notes
- 11. Perturbation Theory
- 11.1 Stationary Perturbation Theory
- 11.2 Degeneracy
- 11.3 The Ritz Variational Method
- 11.4 Time-Dependent Perturbation Theory
- 11.5 Time-Independent Perturbation
- 11.6 Transitions Between Continuum States
- 11.7 Biographical Notes
- 12. Spin
- 12.1 Doublet Splitting
- 12.2 The Einstein-de Haas Experiment
- 12.3 The Mathematical Description of Spin
- 12.4 Wave Functions with Spin
- 12.5 The Pauli Equation
- 12.6 Biographical Notes
- 13. A Nonrelativistic Wave Equation with Spin
- 13.1 The Linearization of the Schrödinger Equation
- 13.2 Particles in an External Field and the Magnetic Moment .
- 14. Elementary Aspects of the Quantum-Mechanical Many-BodyProblem
- 14.1 The Conservation of the Total Momentum of a Particle System
- 14.2 Centre-of-Mass Motion of a System of Particles in Quantum Mechanics
- 14.3 Conservation of Total Angular Momentum in a Quantum-Mechanical Many-Particle System
- 17.10 Indelible Recording
- 17.11 The Splitting Universe
- 17.12 The Problem of Reality
- 14.4 Small Oscillations in a Many-Particle System
- 14.5 Biographical Notes
- 15. Identical Particles
- 15.1 The Pauli Principle
- 15.2 Exchange Degeneracy
- 15.3 The Slater Determinant
- 15.4 Biographical Notes
- 16. The Formal Framework of Quantum Mechanics
- 16.1 The Mathematical Foundation of Quantum Mechanics - Hilbert Space
- 16.2 Operators in Hilbert Space
- 16.3 Eigenvalues and Eigenvectors
- 16.4 Operators with Continuous or Discrete-Continuous (Mixed) Spectra
- 16.5 Operator Functions
- 16.6 Unitary Transformations
- 16.7 The Direct-Product Space
- 16.8 The Axioms of Quantum Mechanics
- 16.9 Free Particles
- 16.10 A Summary of Perturbation Theory
- 17. Conceptual and Philosophical Problems of Quantum Mechanics
- 17.1 Determinism
- 17.2 Locality
- 17.3 Hidden-Variable Theories
- 17.4 Bell’s Theorem
- 17.5 Measurement Theory
- 17.6 Schrödinger’s Cat
- 17.7 Subjective Theories
- 17.8 Classical Measurements
- 17.9 The Copenhagen Interpretation
- 4.3 Bra and Ket Notation
- 4.4 Eigenvalues and Eigenfunctions
- 4.5 Measurability of Different Observables at Equal Times ...
- 4.6 Position and Momentum Operators
- 4.7 Heisenberg’s Uncertainty Relations for Arbitrary Observables
- 4.8 Angular-Momentum Operators
- 4.9 Kinetic Energy
- 4.10 Total Energy
- 4.11 Biographical Notes
- 5. Mathematical Supplement
- 5.1 Eigendifferentials and the Normalization of Eigenfunctions for Continuous Spectra
- 5.2 Expansion into Eigenfunctions
- 6. The Schrödinger Equation
- 6.1 The Conservation of Particle Number in Quantum Mechanics
- 6.2 Stationary States
- 6.3 Properties of Stationary States
- 6.4 Biographical Notes
- 7. The Harmonic Oscillator
- 7.1 The Solution of the Oscillator Equation
- 7.2 The Description of the Harmonic Oscillator by Creation and Annihilation Operators
- 7.3Properties of the Operators â and â+
- 7.4 Representation of the Oscillator Hamiltonian in Terms of â and â+