Preface.1 Nonstationary Perturbations.
1.1 Transition Probability.
1.2 Perturbative Solution.
1.3 Formal Series.
1.4 Adiabatic Perturbations.
1.5 Adiabatic Perturbation Theory.
1.6 Nonadiabatic Transitions.
1.7 Geometric Phase.
1.8 Sudden Perturbations.
1.9 Shake-Off Processes.
2 Periodic Perturbations.
2.1 Golden Rule.
2.2 Beyond the First Order.
2.3 Degenerate States.
2.4 Quasienergy.
2.5 Final States in the Continuum.
2.6 Rotating Wave Approximation.
2.7 Interaction with the Quantized Field.
2.8 Dressed States.
2.9 Super-Radiance.
3 Scattering of Fast Charged Particles.
3.1 Scattering and Cross Section.
3.2 Rutherford Scattering.
3.3 Static Form-Factor.
3.4 Screening.
3.5 Atomic Excitation and Ionization.
3.6 Energy Losses.
3.7 Coulomb Excitation.
4 Photons.
4.1 Introduction: Classical and Quantum Field.
4.2 Hamiltonian Description of the Radiation Field.
4.3 Quantization of the Radiation Field.
4.4 Photon Wave Function.
4.5 Vector Spherical Harmonics.
4.6 Casimir Effect.
4.7 Euler–Maclaurin Summation Formula.
4.8 Lamb Shift.
4.9 Interaction of Radiation with Matter.
5 Photoabsorption and Photoemission.
5.1 Einstein Coefficients; Masers and Lasers.
5.2 Photoabsorption.
5.3 Long Wavelength Limit.
5.4 Higher Multipole Transitions.
5.5 Stimulated and Spontaneous Radiation.
5.6 Dipole Radiation.
5.7 Selection Rules and Examples.
5.8 Photoelectric Effect.
6 Dispersion and the Scattering of Light.
6.1 Macroscopic Description.
6.2 Linear Response.
6.3 Causality.
6.4 Dielectric Function.
6.5 Dispersion Properties.
6.6 Quantum Damping.
6.7 Dispersion Relations.
6.8 Description of Scattering.
6.9 Scattering Cross Section.
6.10 Coherent Scattering.
6.11 Resonance Fluorescence.
6.12 Scattering off Many Centers.
7 Basics of Quantum Scattering.
7.1 Scattering and Observables.
7.2 Classical Scattering and Cross Section.
7.3 Scattering Matrix.
7.4 Transition Rate.
7.5 Born Approximation.
7.6 Continuity Equation.
7.7 Elastic Scattering.
7.8 Unitarity and Optical Theorem.
7.9 Green Function.
7.10 Born Series.
7.11 Validity of the Born Approximation.
7.12 Scattering at High Energies.
8 Method of Partial Waves.
8.1 Partial Wave Analysis.
8.2 Elastic and Inelastic Cross Sections.
8.3 Elastic Phase Shifts.
8.4 Analyticity.
8.5 Scattering at Low Energies: Examples.
8.6 Phases and Their Energy Behavior.
8.7 Scattering Length.
8.8 Resonance Scattering at Low Energies.
8.9 Effective Radius.
8.10 Scattering with Spin–Orbit Interaction.
8.11 Polarization and Azimuthal Asymmetry.
9 More on Scattering.
9.1 Classical and Non-classical Scattering.
9.2 Semiclassical Amplitude.
9.3 Semiclassical Phases.
9.4 Relation to the Eikonal Approximation.
9.5 Diffraction Scattering.
9.6 Diffraction from a Black Sphere.
9.7 Optical Model.
9.8 Multiple Scattering in the Medium.
9.9 Coherent Scattering in Crystals.
10 Reactions, Decays and Resonances.
10.1 Reaction Channels.
10.2 Scattering Matrix for Many-Channel Reactions.
10.3 Detailed Balance.
10.4 Cross Sections for Slow Particles.
10.5 Thresholds and Unitarity.
10.6 Isolated Resonance; Exponential and Non-exponential Decay.
10.7 Quantum Zeno Effect.
10.8 Resonance Cross Section.
10.9 Unitarity and Super-Radiance.
10.10 Angular Momentum and Parity.
10.11 Narrow Resonance as a Compound System.
10.12 Interference of Resonance and Potential Scattering.
11 Towards Relativistic Quantum Mechanics.
11.1 Limitations of the Approach.
11.2 Relativistic Units.
11.3 Lorentz Transformation.
11.4 Energy and Momentum.
11.5 Tensors and Notations.
11.6 Klein–Gordon Equation.
11.7 Current Conservation.
11.8 Particles and Antiparticles.
11.9 Electromagnetic Field.
11.10 Minimal Electromagnetic Coupling.
11.11 Photoabsorption at Higher Energies.
11.12 Nuclear Photoeffect.
11.13 Estimates of Processes in QED.
12 Dirac Equation: Formalism.
12.1 Introducing the Dirac Equation.
12.2 Covariant Form and Algebra.
12.3 Current.
12.4 Charge Conjugation.
12.5 Relativistic Transformations.
12.6 Spin Operator.
12.7 Bilinear Covariants.
13 Dirac Equation: Solutions.
13.1 Free Motion.
13.2 Dirac Sea.
13.3 Explicit Solutions.
13.4 Complete Set of Solutions.
13.5 Pauli Equation.
13.6 Second Order Effects.
13.7 Central Field.
13.8 Coulomb Field.
13.9 Static Uniform Magnetic Field.
14 Discrete Symmetries, Neutrino and Kaons.
14.1 Parity Transformation for a Dirac Particle.
14.2 Time-Reversal Transformation.
14.3 CPT Transformation.
14.4 Massless Particles.
14.5 Neutrinos in the Massless Limit.
14.6 Parity Non-conservation Revisited.
14.7 Neutrino Oscillations.
14.8 Majorana Neutrinos.
14.9 Strangeness.
14.10 Neutral Kaons and CP-parity.
14.11 Neutral Kaons and Quantum Regeneration.
15 Identical Particles.
15.1 Indistinguishable Particles.
15.2 Permutational Symmetry.
15.3 Bosons and Fermions.
15.4 Wave Functions of Noninteracting Particles.
15.5 Two-Nucleon States.
15.6 Scattering of Identical Particles.
15.7 Intensity Interferometry.
16 Isospin.
16.1 Introducing Isospin.
16.2 Isospin Invariance.
16.3 Isospin of Many-Body Systems.
16.4 Isospin and Space–Spin Symmetry.
16.5 A Glimpse of a More General Picture.
16.6 Relations between Cross Sections.
17 Secondary Quantization.
17.1 Occupation Number Representation.
17.2 Introduction to Secondary Quantization.
17.3 Bose-Statistics.
17.4 Fermi-Statistics.
17.5 Algebraic Relations.
17.6 One-Body Operators.
17.7 Two-Body Operators.
17.8 Interparticle Interaction in the Plane–Wave Basis.
17.9 Interparticle Interaction in a Finite System.
18 Atomic and Nuclear Configurations.
18.1 Independent Particle Approximation.
18.2 Adding Rotational Invariance.
18.3 Many-Particle Configurations.
18.4 Exchange Interaction.
18.5 Two-Electron System.
18.6 Helium Atom: Optical Spectrum.
18.7 Hund’s Rules.
18.8 Particle–Hole Symmetry.
18.9 Shell Structure.
19 Fermions.
19.1 Ideal Fermi-Gas.
19.2 Spin Paramagnetism.
19.3 Orbital Diamagnetism.
19.4 IntroducingMean Field.
19.5 Statistical Model.
19.6 Screening in the Electron Gas.
19.7 Hartree–Fock Approximation.
19.8 Spatially Uniform System.
19.9 Coulomb Gas.
19.10 Density Functional Theory.
20 Collective Excitations.
20.1 Linear Chain.
20.2 Phonons.
20.3 Phonon Modes.
20.4 Spin Waves.
20.5 Particle–Hole Excitations.
20.6 Density Fluctuations.
20.7 Random Phase Approximation.
20.8 Electron–Phonon Interaction.
21 Bosons.
21.1 Bose–Einstein Condensation.
21.2 Condensate as a Reservoir; Chemical Potential.
21.3 Weakly Non-ideal Gas.
21.4 Phonons.
21.5 Superfluidity.
21.6 Canonical Transformation.
21.7 Phonons as Density Waves.
21.8 Local Density Approximation.
21.9 Non-uniform Gas.
22 Fermion Pairing and Superconductivity.
22.1 Pairing.
22.2 Pairs and Seniority.
22.3 Multipole Moments in the Seniority Scheme.
22.4 Degenerate Model and Quasispin.
22.5 Canonical Transformation.
22.6 BCS Theory and Trial Wave Function.
22.7 Energy Minimization.
22.8 Energy Gap.
22.9 Excitation Spectrum.
22.10 Condensation Energy.
22.11 Transition Amplitudes.
23 Density Matrix.
23.1 Mixed States and Density Matrix.
23.2 Properties of the Density Matrix.
23.3 Thermal Equilibrium.
23.4 Polarization Density Matrix.
23.5 Application of Scattering.
23.6 Ensemble Entropy.
23.7 Evolution of the Density Matrix.
23.8 Linear Response Revisited.
23.9 Electric Conductivity.
24 Quantum Chaos.
24.1 Classical and Quantum Chaos.
24.2 Local Spectral Statistics: Poisson Distribution.
24.3 Gaussian Orthogonal Ensemble.
24.4 Level Spacing Distribution.
24.5 GOE and Information.
24.6 Universality Classes.
24.7 Semicircle Law.
24.8 Chaotic Eigenfunctions.
24.9 Complexity and Information Entropy.
24.10 Porter–Thomas and Related Distributions.
25 Quantum Entanglement.
25.1 Entanglement.
25.2 Teleportation.
25.3 Mathematics of Entanglement.
25.4 Quantum Bell Inequalities.
25.5 EPR(B) Paradox and Hidden Variables.
25.6 Experimental Tests.
25.7 Decoherence and Measurement Paradox.
References.
Further Reading.
Index.