This fourth edition contains a few additional figures. Otherwise only typographical er rors have been removed. The final chapter on Fundamentals of the Quantum Theory of Chemical Bonding is continued in an extended way in the textbook Molecular Physics and Elements of Quantum Chemistry by the same authors. This book contains, in particular, a profound presentation of group theory as applied to atoms and molecules. Furthermore, the in teraction between atoms and molecules and light is treated in detail. We thank again Springer-Verlag, in particular Dr. H.1. Kblsch and Mr. C.-D. Bachem for their…mehr
This fourth edition contains a few additional figures. Otherwise only typographical er rors have been removed. The final chapter on Fundamentals of the Quantum Theory of Chemical Bonding is continued in an extended way in the textbook Molecular Physics and Elements of Quantum Chemistry by the same authors. This book contains, in particular, a profound presentation of group theory as applied to atoms and molecules. Furthermore, the in teraction between atoms and molecules and light is treated in detail. We thank again Springer-Verlag, in particular Dr. H.1. Kblsch and Mr. C.-D. Bachem for their excellent cooperation as always, and Prof. W. D. Brewer for his con tinuous support in translating our German text. Stuttgart, February 1994 H. Haken H. C. Wolf Preface to the Third Edition The second edition of this book again enjoyed a very positive reception from both uni versity teachers and students. In this edition we have removed all of the typographical errors that came to our attention. In order to keep the book as current as possible, new developments in the direct observation of individual atoms in electromagnetic traps (Paul traps) and of atoms in molecules on solid surfaces using the scanning tunnel microscope have been added to this edition.
Hermann Haken is Professor of the Institute for Theoretical Physics at the University of Stuttgart. He is known as the founder of synergetics. His research has been in nonlinear optics (in particular laser physics), solid state physics, statistical physics, and group theory. After the implementation of the first laser in 1960, Professor Haken developed his institute to an international center for laser theory. The interpretation of the laser principles as self organization of non equilibrium systems paved the way to the development of synergetics, of which Haken is recognized as the founder. Hermann Haken has been visiting professor or guest scientist in England, France, Japan, USA, Russia, and China. He is the author of some 23 textbooks and monographs that cover an impressive number of topics from laser physics to synergetics, and editor of a book series in synergetics. For his pathbreaking work and his influence on academic research, he has been awarded many-times. Among others, he is member of the Order "Pour le merite" and received the Max Planck Medal in 1990.
1. Introduction.- 1.1 Classical Physics and Quantum Mechanics.- 1.2 Short Historical Review.- 2. The Mass and Size of the Atom.- 2.1 What is an Atom?.- 2.2 Determination of the Mass.- 2.3 Methods for Determining Avogadro's Number.- 2.3.1 Electrolysis.- 2.3.2 The Gas Constant and Boltzmann's Constant.- 2.3.3 X-Ray Diffraction in Crystals.- 2.3.4 Determination Using Radioactive Decay.- 2.4 Determination of the Size of the Atom.- 2.4.1 Application of the Kinetic Theory of Gases.- 2.4.2 The Interaction Cross Section.- 2.4.3 Experimental Determination of Interaction Cross Sections.- 2.4.4 Determining the Atomic Size from the Covolume.- 2.4.5 Atomic Sizes from X-Ray Diffraction Measurements on Crystals.- 2.4.6 Can Individual Atoms Be Seen?.- Problems.- 3. Isotopes.- 3.1 The Periodic System of the Elements.- 3.2 Mass Spectroscopy.- 3.2.1 Parabola Method.- 3.2.2 Improved Mass Spectrometers.- 3.2.3 Results of Mass Spectrometry.- 3.2.4 Modern Applications of the Mass Spectrometer.- 3.2.5 Isotope Separation.- Problems.- 4. The Nucleus of the Atom.- 4.1 Passage of Electrons Through Matter.- 4.2 Passage of Alpha Particles Through Matter (Rutherford Scattering).- 4.2.1 Some Properties of Alpha Particles.- 4.2.2 Scattering of Alpha Particles by a Foil.- 4.2.3 Derivation of the Rutherford Scattering Formula.- 4.2.4 Experimental Results.- 4.2.5 What is Meant by Nuclear Radius?.- Problems.- 5. The Photon.- 5.1 Wave Character of Light.- 5.2 Thermal Radiation.- 5.2.1 Spectral Distribution of Black Body Radiation.- 5.2.2 Planck's Radiation Formula.- 5.2.3 Einstein's Derivation of Planck's Formula.- 5.3 The Photoelectric Effect.- 5.4 The Compton Effect.- 5.4.1 Experiments.- 5.4.2 Derivation of the Compton Shift.- Problems.- 6. The Electron.- 6.1 Production of Free Electrons.- 6.2 Size of the Electron.- 6.3 The Charge of the Electron.- 6.4 The Specific Charge e/m of the Electron.- 6.5 Wave Character of Electrons and Other Particles.- 6.6 Interferometry with Atoms.- Problems.- 7. Some Basic Properties of Matter Waves.- 7.1 Wave Packets.- 7.2 Probabilistic Interpretation.- 7.3 The Heisenberg Uncertainty Relation.- 7.4 The Energy-Time Uncertainty Relation.- 7.5 Some Consequences of the Uncertainty Relations for Bound States.- Problems.- 8. Bohr's Model of the Hydrogen Atom.- 8.1 Basic Principles of Spectroscopy.- 8.2 The Optical Spectrum of the Hydrogen Atom.- 8.3 Bohr's Postulates.- 8.4 Some Quantitative Conclusions.- 8.5 Motion of the Nucleus.- 8.6 Spectra of Hydrogen-like Atoms.- 8.7 Myionic Atoms.- 8.8 Excitation of Quantum Jumps by Collisions.- 8.9 Sommerfeld's Extension of the Bohr Model and the Experimental Justification of a Second Quantum Number.- 8.10 Lifting of Orbital Degeneracy by the Relativistic Mass Change.- 8.11 Limits of the Bohr-Sommerfeld Theory. The Correspondence Principle.- 8.12 Rydberg Atoms.- Problems.- 9. The Mathematical Framework of Quantum Theory.- 9.1 The Particle in a Box.- 9.2 The Schrodinger Equation.- 9.3 The Conceptual Basis of Quantum Theory.- 9.3.1 Observations, Values of Measurements and Operators.- 9.3.2 Momentum Measurement and Momentum Probability.- 9.3.3 Average Values and Expectation Values.- 9.3.4 Operators and Expectation Values.- 9.3.5 Equations for Determining the Wavefunction.- 9.3.6 Simultaneous Observability and Commutation Relations.- 9.4 The Quantum Mechanical Oscillator.- Problems.- 10. Quantum Mechanics of the Hydrogen Atom.- 10.1 Motion in a Central Field.- 10.2 Angular Momentum Eigenfunctions.- 10.3 The Radial Wavefunctions in a Central Field .- 10.4 The Radial Wavefunctions of Hydrogen.- Problems.- 11. Lifting of the Orbital Degeneracy in the Spectra of Alkali Atoms.- 11.1 Shell Structure.- 11.2 Screening.- 11.3 The Term Diagram.- 11.4 Inner Shells.- Problems.- 12. Orbital and Spin Magnetism. Fine Structure.- 12.1 Introduction and Overview.- 12.2 Magnetic Moment of the Orbital Motion.- 12.3 Precession and Orientation in a Magnetic Field.- 12.4 Spin and Magnetic Moment of the Electron.- 12.5 D
The Mass and Size of the Atom.- Isotopes.- The Nucleus of the Atom.- The Photon.- The Electron.- Some Basic Properties of Matter Waves.- Bohr's Model of the Hydrogen Atom.- The Mathematical Framework of Quantum Theory.- Quantum Mechanics of the Hydrogen Atom.- Lifting of the Orbital Degeneracy in the Spectra of Alkali Atoms.- Orbital and Spin Magnetism. Fine Structure.- Atoms in a Magnetic Field: Experiments and Their Semiclassical Description.- Atoms in a Magnetic Field: Quantum Mechanical Treatment.- Atoms in an Electric Field.- General Laws of Optical Transitions.- Many-Electron Atoms.- X-Ray Spectra, lnternal Shells.- Structure of the Periodic System. Ground States of the Elements.- Nuclear Spin, Hyperfine Structure.- The Laser.- Modern Methods of Optical Spectroscopy.- Progress in Quantum Physics: A Deeper Understanding and New Applications.- Fundamentals of the Quantum Theory of Chemical Bonding.
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