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cohen tannoudji c quantum mechanics 3 volume set 2ed 2020

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Textbook in PDF format Volume 1: Basic Concepts, Tools, and Applications Volume 2: Angular Momentum, Spin, and Approximation Methods Volume 3: Fermions, Bosons, Photons, Correlations, and Entanglement Quantum mechanics is a branch of physics whose importance has continually increased over the last decades. It is essential for understanding the structure and dynamics of microscopic objects such as atoms, molecules and their interactions with electromagnetic radiation. It is also the basis for understanding the functioning of numerous new systems with countless practical applications. This includes lasers (in communications, medicine, milling, etc.), atomic clocks (essential in particular for the GPS), transistors (communications, computers), magnetic resonance imaging, energy production (solar panels, nuclear reactors), etc. Quantum mechanics also permits understanding surprising physical properties such as superfluidity or supraconductivity. There is currently a great interest in entangled quantum states whose non-intuitive properties of nonlocality and nonseparability permit conceiving remarkable applications in the emerging field of quantum information. Our civilization is increasingly impacted by technological applications based on quantum concepts. This why a particular effort should be made in the teaching of quantum mechanics, which is the object of these three volumes. Volume I presents a general introduction of the subject, followed by a second chapter describing the basic mathematical tools used in quantum mechanics. While this chapter can appear long and dense, the teaching experience of the authors has shown that such a presentation is the most efficient. In the third chapter the postulates are announced and illustrated in many of the complements. We then go on to certain important applications of quantum mechanics, such as the harmonic oscillator, which lead to numerous applications (molecular vibrations, phonons, etc.). Many of these are the object of specific complements. Volume II pursues this development, while expanding its scope at a slightly higher level. It treats collision theory, spin, addition of angular momenta, and both timedependent and time-independent perturbation theory. It also presents a first approach to the study of identical particles. In this volume as in the previous one, each theoretical concept is immediately illustrated by diverse applications presented in the complements. Both volumes I and II have benefited from several recent corrections, but there have also been additions. Chapter XIII now contains two sections §§ D and E that treat random perturbations, and a complement concerning relaxation has been added. Volume III extends the two volumes at a slightly higher level. It is based on the use of the creation and annihilation operator formalism (second quantization), which is commonly used in quantum field theory. We start with a study of systems of identical particles, fermions or bosons. The properties of ideal gases in thermal equilibrium are presented. For fermions, the Hartree-Fock method is developed in detail. It is the base of many studies in chemistry, atomic physics and solid state physics, etc. For bosons, the Gross-Pitaevskii equation and the Bogolubov theory are discussed. An original presentation that treats the pairing effect of both fermions and bosons permits obtaining the BCS (Bardeen-Cooper-Schrieffer) and Bogolubov theories in a unified framework. The second part of volume III treats quantum electrodynamics, its general introduction, the study of interactions between atoms and photons, and various applications (spontaneous emission, multiphoton transitions, optical pumping, etc.). The dressed atom method is presented and illustrated for concrete cases. A final chapter discusses the notion of quantum entanglement and certain fundamental aspects of quantum mechanics, in particular the Bell inequalities and their violations. Table of contents: Volume I Waves and particles. Introduction to the basic ideas of quantum mechanics The mathematical tools of quantum mechanics The postulates of quantum mechanics Applications of the postulates to simple cases: spin 1/2 and two-level systems The one-dimensional harmonic oscillator General properties of angular momentum in quantum mechanics Particle in a central potential, hydrogen atom Table of contents: Volume II An elementary approach to the quantum theory of scattering by a potential Electron spin Addition of angular momenta Stationary perturbation theory An application of perturbation theory: the fine and hyperfine structure of the hydrogen atom Approximation methods for time-dependent problems Systems of identical particles Appendices Fourier series and Fourier transforms The Dirac -“function” Lagrangian and Hamiltonian in classical mechanics Table of contents: Volume III Creation and annihilation operators for identical particles Field operator Paired states of identical particles Review of classical electrodynamics Quantization of electromagnetic radiation Absorption, emission and scattering of photons by atoms Quantum entanglement, measurements, bell’s inequalities Appendices Feynman path integral Lagrange multipliers Brief review of Quantum Statistical Mechanics Wigner transform

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cohen tannoudji c quantum mechanics 3 volume set 2ed 2020

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