The Physics of Atoms and Quanta: Introduction to Experiments and Theory

by ; ;
Edition: 7th
Format: Hardcover
Pub. Date: 2005-11-30
Publisher(s): Springer Verlag
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Summary

The Physics of Atoms and Quanta is a thorough introduction to experiments and theory in this field. Every classical and modern aspect is included and discussed in detail. The new edition is completely revised, new sections on atoms in strong electric fields and high magnetic fields complete the comprehensive coverage of all topics related to atoms and quanta. All new developments, such as new experiments on quantum entanglement, the quantum computer, quantum information, the Einstein-Podolsky-Rosen paradoxon, Bell's inequality, Schr??dinger's cat, decoherence, Bose-Einstein-Condensation and the atom laser are discussed. Over 170 problems and their solutions help deepen the insight in this subject area and make this book a real study text. The more advanced book by the same authors entitled Molecular Physics and Elements of Quantum Chemistry coplements this unique textbook.

Table of Contents

List of the Most Important Symbols Used
xix
Introduction
1(4)
Classical Physics and Quantum Mechanics
1(1)
Short Historical Review
1(4)
The Mass and Size of the Atom
5(22)
What is an Atom?
5(1)
Determination of the Mass
5(2)
Methods for Determining Avogadro's Number
7(3)
Electrolysis
7(1)
The Gas Constant and Boltzmann's Constant
7(1)
X-Ray Diffraction in Crystals
8(1)
Determination Using Radioactive Decay
9(1)
Determination of the Size of the Atom
10(17)
Application of the Kinetic Theory of Gases
10(1)
The Interaction Cross Section
11(3)
Experimental Determination of Interaction Cross Sections
14(1)
Determining the Atomic Size from the Covolume
15(1)
Atomic Sizes from X-Ray Diffraction Measurements on Crystals
15(5)
Can Individual Atoms Be Seen?
20(5)
Problems
25(2)
Isotopes
27(10)
The Periodic System of the Elements
27(2)
Mass Spectroscopy
29(8)
Parabola Method
29(3)
Improved Mass Spectrometers
32(1)
Results of Mass Spectrometry
33(1)
Modern Applications of the Mass Spectrometer
34(1)
Isotope Separation
35(1)
Problems
36(1)
The Nucleus of the Atom
37(12)
Passage of Electrons Through Matter
37(2)
Passage of Alpha Particles Through Matter (Rutherford Scattering)
39(10)
Some Properties of Alpha Particles
39(1)
Scattering of Alpha Particles by a Foil
39(2)
Derivation of the Rutherford Scattering Formula
41(5)
Experimental Results
46(1)
What is Meant by Nuclear Radius?
47(1)
Problems
48(1)
The Photon
49(20)
Wave Character of Light
49(2)
Thermal Radiation
51(7)
Spectral Distribution of Black Body Radiation
51(2)
Planck's Radiation Formula
53(1)
Einstein's Derivation of Planck's Formula
54(4)
The Photoelectric Effect
58(2)
The Compton Effect
60(9)
Experiments
60(2)
Derivation of the Compton Shift
62(2)
Problems
64(5)
The Electron
69(12)
Production of Free Electrons
69(1)
Size of the Electron
69(1)
The Charge of the Electron
70(1)
The Specific Charge e/m of the Electron
71(3)
Wave Character of Electrons and Other Particles
74(4)
Interferometry with Atoms
78(3)
Problems
79(2)
Some Basic Properties of Matter Waves
81(14)
Wave Packets
81(4)
Probabilistic Interpretation
85(2)
The Heisenberg Uncertainty Relation
87(2)
The Energy-Time Uncertainty Relation
89(1)
Some Consequences of the Uncertainty Relations for Bound States
90(5)
Problems
93(2)
Bohr's Model of the Hydrogen Atom
95(30)
Basic Principles of Spectroscopy
95(2)
The Optical Spectrum of the Hydrogen Atom
97(3)
Bohr's Postulates
100(4)
Some Quantitative Conclusions
104(1)
Motion of the Nucleus
105(2)
Spectra of Hydrogen-like Atoms
107(2)
Muonic Atoms
109(3)
Excitation of Quantum Jumps by Collisions
112(2)
Sommerfeld's Extension of the Bohr Model and the Experimental Justification of a Second Quantum Number
114(2)
Lifting of Orbital Degeneracy by the Relativistic Mass Change
116(1)
Limits of the Bohr-Sommerfeld Theory. The Correspondence Principle
117(1)
Rydberg Atoms
117(3)
Exotic Atoms: Positronium, Muonium, and Antihydrogen
120(5)
Problems
122(3)
The Mathematical Framework of Quantum Theory
125(28)
The Particle in a Box
125(4)
The Schrodinger Equation
129(2)
The Conceptual Basis of Quantum Theory
131(11)
Observations, Values of Measurements and Operators
131(1)
Momentum Measurement and Momentum Probability
132(1)
Average Values and Expectation Values
133(3)
Operators and Expectation Values
136(1)
Equations for Determining the Wavefunction
137(2)
Simultaneous Observability and Commutation Relations
139(3)
The Quantum Mechanical Oscillator
142(11)
Problems
148(5)
Quantum Mechanics of the Hydrogen Atom
153(18)
Motion in a Central Field
153(2)
Angular Momentum Eigenfunctions
155(6)
The Radial Wavefunctions in a Central Field*
161(2)
The Radial Wavefunctions of Hydrogen
163(8)
Problems
169(2)
Lifting of the Orbital Degeneracy in the Spectra of Alkali Atoms
171(10)
Shell Structure
171(2)
Screening
173(1)
The Term Diagram
174(5)
Inner Shells
179(2)
Problems
179(2)
Orbital and Spin Magnetism. Fine Structure
181(24)
Introduction and Overview
181(1)
Magnetic Moment of the Orbital Motion
182(2)
Precession and Orientation in a Magnetic Field
184(2)
Spin and Magnetic Moment of the Electron
186(2)
Determination of the Gyromagnetic Ratio by the Einstein-de Haas Method
188(1)
Detection of Directional Quantisation by Stern and Gerlach
189(2)
Fine Structure and Spin-Orbit Coupling: Overview
191(1)
Calculation of Spin-Orbit Splitting in the Bohr Model
192(4)
Level Scheme of the Alkali Atoms
196(1)
Fine Structure in the Hydrogen Atom
197(1)
The Lamb Shift
198(7)
Problems
202(3)
Atoms in a Magnetic Field: Experiments and Their Semiclassical Description
205(18)
Directional Quantisation in a Magnetic Field
205(1)
Electron Spin Resonance
205(3)
The Zeeman Effect
208(9)
Experiments
208(2)
Explanation of the Zeeman Effect from the Standpoint of Classical Electron Theory
210(2)
Description of the Ordinary Zeeman Effect by the Vector Model
212(2)
The Anomalous Zeeman Effect
214(1)
Magnetic Moments with Spin-Orbit Coupling
215(2)
The Paschen-Back Effect
217(1)
Double Resonance and Optical Pumping
218(5)
Problems
220(3)
Atoms in a Magnetic Field: Quantum Mechanical Treatment
223(38)
Quantum Theory of the Ordinary Zeeman Effect
223(2)
Quantum Theoretical Treatment of the Electron and Proton Spins
225(7)
Spin as Angular Momentum
225(1)
Spin Operators, Spin Matrices and Spin Wavefunctions
226(2)
The Schrodinger Equation of a Spin in a Magnetic Field
228(2)
Description of Spin Precession by Expectation Values
230(2)
Quantum Mechanical Treatment of the Anomalous Zeeman Effect with Spin-Orbit Coupling*
232(4)
Quantum Theory of a Spin in Mutually Perpendicular Magnetic Fields, One Constant and One Time Dependent
236(5)
The Bloch Equations
241(2)
The Relativistic Theory of the Electron. The Dirac Equation
243(6)
The Hydrogen Atom in Strong Magnetic Fields*
249(12)
Rydberg Atoms in Strong Fields
250(1)
What is Chaos? A Reminder of Classical Mechanics
251(3)
Quantum Chaos
254(2)
The Hydrogen Atom in Strong Magnetic Fields and in Low Quantum States
256(3)
Problems
259(2)
Atoms in an Electric Field
261(34)
Observations of the Stark Effect
261(2)
Quantum Theory of the Linear and Quadratic Stark Effects
263(7)
The Hamiltonian
263(1)
The Quadratic Stark Effect. Perturbation Theory Without Degeneracy*
264(3)
The Linear Stark Effect. Perturbation Theory in the Presence of Degeneracy*
267(3)
The Interaction of a Two-Level Atom with a Coherent Radiation Field
270(3)
Spin and Photon Echoes
273(3)
A Glance at Quantum Electrodynamics*
276(12)
Field Quantization
276(5)
Mass Renormalization and Lamb Shift
281(7)
Atoms in Strong Electric Fields*
288(7)
Problems
292(3)
General Laws of Optical Transitions
295(16)
Symmetries and Selection Rules
295(11)
Optical Matrix Elements
295(1)
Examples of the Symmetry Behaviour of Wavefunctions
295(5)
Selection Rules
300(3)
Selection Rules and Multiple Radiation*
303(3)
Linewidths and Lineshapes
306(5)
Many-Electron Atoms
311(12)
The Spectrum of the Helium Atom
311(2)
Electron Repulsion and the Pauli Principle
313(1)
Angular Momentum Coupling
314(6)
Coupling Mechanism
314(1)
LS Coupling (Russell-Saunders Coupling)
314(4)
jj Coupling
318(2)
Magnetic Moments of Many-Electron Atoms
320(1)
Multiple Excitations
321(2)
Problems
321(2)
X-Ray Spectra, Internal Shells
323(14)
Introductory Remarks
323(1)
X-Radiation from Outer Shells
323(1)
X-Ray Bremsstrahlung Spectra
324(2)
Emission Line Spectra: Characteristic Radiation
326(2)
Fine Structure of the X-Ray Spectra
328(2)
Absorption Spectra
330(2)
The Auger Effect
332(2)
Photoelectron Spectroscopy (XPS), ESCA
334(3)
Problems
336(1)
Structure of the Periodic System. Ground States of the Elements
337(24)
Periodic System and Shell Structure
337(7)
From the Electron Configuration to the Atomic Term Scheme. Atomic Ground States
344(3)
Excited States of Atoms and Possible Electronic Configurations. Complete Term Schemes
347(2)
The Many-Electron Problem. Hartree-Fock Method*
349(12)
The Two-Electron Problem
349(5)
Many Electrons Without Mutual Interactions
354(1)
Coulomb Interaction of Electrons. Hartree and Hartree-Fock Methods
355(3)
Problems
358(3)
Nuclear Spin, Hyperfine Structure
361(26)
Influence of the Atomic Nucleus on Atomic Spectra
361(1)
Spins and Magnetic Moments of Atomic Nuclei
362(2)
The Hyperfine Interaction
364(4)
Hyperfine Structure in the Ground State of the Hydrogen Atom, the Sodium Atom, and the Hydrogen-like Ion 83Bi82+
368(2)
Hyperfine Structure in an External Magnetic Field, Electron Spin Resonance
370(5)
Direct Measurements of Nuclear Spins and Magnetic Moments, Nuclear Magnetic Resonance
375(3)
Applications of Nuclear Magnetic Resonance
378(5)
The Nuclear Electric Quadrupole Moment
383(4)
Problems
385(2)
The Laser
387(12)
Some Basic Concepts for the Laser
387(3)
Rate Equations and Lasing Conditions
390(3)
Amplitude and Phase of Laser Light
393(6)
Problems
396(3)
Modern Methods of Optical Spectroscopy
399(18)
Classical Methods
399(1)
Quantum Beats
400(2)
Doppler-free Saturation Spectroscopy
402(2)
Doppler-free Two-Photon Absorption
404(2)
Level-Crossing Spectroscopy and the Hanle Effect
406(2)
Laser Cooling of Atoms
408(5)
Nondestructive Single-Photon Detection -- An Example of Atomic Physics in a Resonant Cavity
413(4)
Problems
415(2)
Progress in Quantum Physics: A Deeper Understanding and New Applications
417(22)
Introduction
417(1)
The Superposition Principle, Interference, Probability and Probability Amplitudes
417(2)
Schrodinger's Cat
419(1)
Decoherence
419(1)
Entanglement
420(1)
The Einstein-Podolsky-Rosen (EPR) Paradox
421(1)
Bell's Inequalities and the Hidden-Variable Hypothesis
422(3)
Experiments to Test Bell's Inequalities
425(1)
Quantum Computers
426(6)
Historical Remarks
426(1)
Review of Digital Computers
427(1)
Basic Concepts of the Quantum Computer
428(2)
Decoherence and Error Correction
430(2)
A Comparison Between the Quantum Computer and the Digital Computer
432(1)
Quantum Information Theory
432(1)
The Bose-Einstein Condensation
432(4)
Review of Statistical Mechanics
432(1)
The Experimental Discovery
433(2)
The Quantum Theory of the Bose-Einstein Condensation
435(1)
The Atom Laser
436(3)
Problems
437(2)
Fundamentals of the Quantum Theory of Chemical Bonding
439(30)
Introductory Remarks
439(1)
The Hydrogen-Molecule Ion H2
439(6)
The Tunnel Effect
445(2)
The Hydrogen Molecule H2
447(7)
Covalent-Ionic Resonance
454(1)
The Hund-Mulliken-Bloch Theory of Bonding in Hydrogen
455(1)
Hybridisation
456(2)
The π Electrons of Benzene, C6H6
458(3)
Problems
460(1)
Appendix
The Dirac Delta Function and the Normalisation of the Wavefunction of a Free Particle in Unbounded Space
461(4)
Some Properties of the Hamiltonian Operator, Its Eigenfunctions and its Eigenvalues
465(1)
Derivation of Heisenberg's Uncertainty Relation
466(3)
Solutions to the Problems 469(30)
Bibliography of Supplementary and Specialised Literature 499(8)
Subject Index 507

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