InhaltsangabePREFACE INTRODUCTION Some Historical Remarks The Experimental Methods The Solid as a Many Body Survey over the Spectral Region of a Solid THE PROBES, THEIR ORIGIN AND PROPERTIES Origin Properties Magnetic Field of the Probing Particles INTERACTION OF THE PROBES WITH THE CONSTITUENTS OF MATTER The Nuclear Interaction of Neutrons Interaction of X-Rays with Atomic Constituents Magnetic Interaction Corollar SCATTERING ON (BULK-)SAMPLES Introduction The Sample as a Thermodynamic System The Scattering Experiment Properties of the Scattering and Correlation Function General Form of Spin-Dependent Cross-Sections Summary and Conclusions GENERAL THEORETICAL FRAMEWORK Time Development of the Density Operator Generalized Suspectibility Dielectric Response Function and Sum Rules APPENDIX A: PRINCIPLES OF SCATTERING THEORY Potential Scattering (Supporting Section 3.1.1) Two Particle Scattering (Supporting Section 3.1.2) Abstract Scattering Theory (Supporting Section 3.2) TimeDependent Perturbation Scattering of Light on Atoms Polarization and its Analysis APPENDIX B: FORM FACTORS APPENDIX C: REMINDER ON STATISTICAL MECHANICS The Statistical Operator P The Equation of Motion Entropy Thermal Equilibrium - The Canonical Distribution Thermodynamics APPENDIX D: THE MAGNETIC MATRIX-ELEMENTS The Trammell Expansion The Matrix Elements Conclusion APPENDIX E: THE PRINCIPLE OF A MSR-EXPERIMENT APPENDIX F: REFLECTION SYMMETRY AND TIME-REVERSAL INVARIANCE Invariance Under Space Inversion Q Invariance Under Time Reversal APPENDIX G: PHONON COUPLING TO HEAT BATH

InhaltsangabePREFACE INTRODUCTION Some Historical Remarks The Experimental Methods The Solid as a Many Body Survey over the Spectral Region of a Solid THE PROBES, THEIR ORIGIN AND PROPERTIES Origin Properties Magnetic Field of the Probing Particles INTERACTION OF THE PROBES WITH THE CONSTITUENTS OF MATTER The Nuclear Interaction of Neutrons Interaction of X-Rays with Atomic Constituents Magnetic Interaction Corollar SCATTERING ON (BULK-)SAMPLES Introduction The Sample as a Thermodynamic System The Scattering Experiment Properties of the Scattering and Correlation Function General Form of Spin-Dependent Cross-Sections Summary and Conclusions GENERAL THEORETICAL FRAMEWORK Time Development of the Density Operator Generalized Suspectibility Dielectric Response Function and Sum Rules APPENDIX A: PRINCIPLES OF SCATTERING THEORY Potential Scattering (Supporting Section 3.1.1) Two Particle Scattering (Supporting Section 3.1.2) Abstract Scattering Theory (Supporting Section 3.2) TimeDependent Perturbation Scattering of Light on Atoms Polarization and its Analysis APPENDIX B: FORM FACTORS APPENDIX C: REMINDER ON STATISTICAL MECHANICS The Statistical Operator P The Equation of Motion Entropy Thermal Equilibrium - The Canonical Distribution Thermodynamics APPENDIX D: THE MAGNETIC MATRIX-ELEMENTS The Trammell Expansion The Matrix Elements Conclusion APPENDIX E: THE PRINCIPLE OF A MSR-EXPERIMENT APPENDIX F: REFLECTION SYMMETRY AND TIME-REVERSAL INVARIANCE Invariance Under Space Inversion Q Invariance Under Time Reversal APPENDIX G: PHONON COUPLING TO HEAT BATH

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1. INTRODUCTION Some Historical Remarks The Experimental Methods The Solid as a Many Body System Survey over the Spectral Region of a Solid 2. THE PROBES, THEIR ORIGIN AND PROPERTIES Origin: The Photon, the Electron, the Muon, the Neutron Properties: Electrons, Muons, Neutrons, Photons Magnetic Field of the Probing Particles 3. INTERACTION OF THE PROBES WITH THE CONSTITUENTS OF MATTER The Nuclear Interaction of Neutrons: Interaction with Free Nuclei, Bound Scattering Length, Spin and Isospin Considerations Interaction of X-Rays with Atomic Constituents: Interaction of a Point Charge with an Electromagnetic Field, Scattering of Light at Atomic Constituents, Photoemission Magnetic Interaction: Neutrons and Muons as Probes, X-Rays as Probes Corollar: Neutrons, X-rays, Magnetic Interaction 4. SCATTERING ON (BULK-)SAMPLES Introduction The Sample as a Thermodynamic System: Hamiltonian, Partitioning into Subsystems, Interaction of the Probe with the Subsystem The Scattering Experiment: Differential Cross-Section and the Dynamical Scattering Function, Coherent and Incoherent Scattering, Correlation Functions, Elastic and Inclusive Scattering, Inelastic Scattering Properties of the Scattering- and Correlation-Function: Mass- and Charge-Densities as Observables, Electronic Currents and Magnetization as Observables General Form of Spin-Dependent Cross Sections: Introduction, Neutrons, X-rays (non-resonant), Cross-Sections, Spectroscopy Summary and Conclusions 5. GENERAL THEORETICAL FRAMEWORK Time Development of the Density Operator: Scattering Function and Cross Section, Wangsness-Bloch Equations ? Relaxation Times (an Application for mu-SR) Generalized Suspectibility: Electromagnetic Field in a Medium, Green?s Function, Retarded Kernel ? Response Function, Fluctuation ? Dissipation, Kramers-Kronig Relations The Dielectric Response Function and Sum Rules: Sum Rule of Thomas-Reiche-Kuhn (TRK), Random Phase Approximation, Optical Sum Rules Appendix A: Principles of Scattering Theory Appendix B: Form Factors Appendix C: Reminder on Statistical Mechanics Appendix D: The Magnetic Matrix-Elements Appendix E: The Principle of a mu-SR-Experiment Appendix F: Reflection Symmetry and Time-Reversal Invariance Appendix G: Collective Excitations