Quantum Physics of Light and Matter (eBook)

Associate Professor of Condensed Matter Physics at the Department of Physics and Astronomy “Galileo Galilei” of the University of Padova, member of the Scientific Committee of Area 2 (Physical Sciences) of the University of Padova, and president of the B.Sc. in Optics and Optometrics of the University of Padova.His fields of research are condensed matter theory and statistical physics, in particular nonlinear phenomena and macroscopic quantum effects (like superfluidity and superconductivity) in ultra cold atomic gases and other many-body systems. He has written more than 130 scientific papers in international journals with more than 2500 citations.

The Origins of Modern Physics.- Special Relativity.- Quantum Mechanics.- Axioms of Quantum Mechanics.- Quantum Information.- Quantum Statistical Mechanics.- Microcanonical Ensemble.- Canonical ensemble.- Grand canonical ensemble Solved Problems.- Second Quantization of Light Electromagnetic Waves.- First Quantization of Light Electromagnetic Potentials and Coulomb Gauge.- Second Quantization of Light.- Fock vs Coherent States for the Light Field.- Linear and Angular Momentum of the Radiation Field.- Zero-Point Energy and the Casimir Effect.- Quantum Radiation Field at Finite Temperature.- Phase Operators.- Solved Problems.- Electromagnetic Transitions.- Classical Electrodynamics.- Quantum Electrodynamics in the Dipole Approximation.- Spontaneous Emission Absorption.- Stimulated Emission.- Einstein Coefficients.- Rate equations for two-level and three-level systems.- Selection Rules.- Life-Time and Natural Line-Width.- Collisional Broadening Doppler Broadening.- Minimal Coupling and Center of Mass.- Solved Problems.- The Spin of the Electron.- The Dirac Equation.- The Pauli Equation and the Spin.- Dirac equation with a central potential Relativistic Hydrogen Atom and Fine splitting.- Relativistic Corrections to the Schrodinger Hamiltonian Solved Problems.- Energy Splitting and Shift due to External Fields.- Stark Effect Zeeman Effect.- Normal Zeeman Effect.- Anomalous Zeeman Effect.- Solved Problems Many-Body Systems.- Identical Quantum Particles.- Non-Interacting Identical Particles.- Uniform Gas of Non-Interacting Fermions.- Atomic Shell Structure and the Periodic Table of the Elements.- Interacting Identical Particles.- Variational Principle.- Hartree for Bosons.- Hartree-Fock for Fermions.- Mean-Field Approximation.- Density Functional Theory.- Molecules and the Born-Oppenheimer Approximation.- Solved Problems.- Second Quantization of Matter.- Schrodinger Field.- Second Quantization of the Schrodinger Field.- Bosonic and Fermionic Matter Field Connection between First and Second.- Quantization Fock vs Coherent states for the Bosonic Matter Field.- Quantum Matter Field at Finite Temperature.- Matter-Radiation Interaction Cavity quantum electrodynamics Bosons in a double-well potential Solved Problems Appendix A Dirac Delta Function.- Appendix B Fourier Transform.- Appendix C Laplace Transform.- Bibliography.