Luca Salasnich

Quantum Physics of Light and Matter (eBook, PDF)

Photons, Atoms, and Strongly Correlated Systems

• Format: PDF

Produktbeschreibung

This compact but exhaustive textbook, now in its significantly revised and expanded second edition, provides an essential introduction to the field quantization of light and matter with applications to atomic physics and strongly correlated systems. Following an initial review of the origins of special relativity and quantum mechanics, individual chapters are devoted to the second quantization of the electromagnetic field and the consequences of light field quantization for the description of electromagnetic transitions. The spin of the electron is then analyzed, with particular attention to its derivation from the Dirac equation. Subsequent topics include the effects of external electric and magnetic fields on the atomic spectra and the properties of systems composed of many interacting identical particles. The book also provides a detailed explanation of the second quantization of the non-relativistic matter field, i.e., the Schrödinger field, which offers a powerful tool for the investigation of many-body problems, and of atomic quantum optics and entanglement. Finally, two new chapters introduce the finite-temperature functional integration of bosonic and fermionic fields for the study of macroscopic quantum phenomena: superfluidity and superconductivity. Several solved problems are included at the end of each chapter, helping readers put into practice all that they have learned.

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Produktdetails

• Verlag: Springer-Verlag GmbH
• Seitenzahl: 244
• Erscheinungstermin: 24. Februar 2017
• Englisch
• ISBN-13: 9783319529981
• Artikelnr.: 53035490

Autorenporträt

Luca Salasnich is an Associate Professor of Condensed Matter Physics at the Department of Physics and Astronomy "Galileo Galilei", University of Padova, Italy. He was previously a research scientist with the Italian National Research Council (CNR). Dr. Salasnich was awarded an MSc in Physics by the University of Padova in 1991, and his PhD in Theoretical Physics by the University of Florence in 1995. 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. At the University of Padova, Dr. Salasnich is a member of the Scientific Committee of Area 2 (Physical Sciences) and President of the Teaching Council for the BSc in Optics and Optometrics. He has written more than 130 scientific papers for international journals, with over 2500 citations.

Inhaltsangabe

1 The Origins of Modern Physics.- 2 Second Quantization of Light.- 3 Electromagnetic Transitions.- 4 The Spin of the Electron.- 5 Energy Splitting and Shift due to External Fields.- 6 Many-Body Systems.- 7 Second Quantization of Matter.- 8 Functional Integration for the Bosonic Field.- 9 Functional Integration for the Fermionic Field.- Appendix A Dirac Delta Function.- Appendix B Fourier Transform.- Appendix C Laplace Transform.- Bibliography.

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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.