"Version: 20190101"--Title page verso."This is a revised and enlarged edition of the monograph previously published by Springer in 1996 under the slightly shorter title Supersymmetric methods in quantum and statistical physics"--Page xi.Includes bibliographical references.1. Introduction -- 2. Supersymmetric quantum mechanics -- 2.1. Definition of SUSY quantum mechanics -- 2.2. Properties of N …
"Version: 20210201"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Goals of the lecture notes -- 1.2. Classical electrodynamics and its symmetries -- 1.3. Field quantization -- 1.4. The need for discreteness in quantum computing -- 1.5. Symmetries and predictive models2. Classical field theory -- 2.1. Classical action, equations of motion and symmetries -- 2.2. Tr…
"Version: 20200901"--Title page verso.Includes bibliographical references.Preface : why you should read this book -- 1. Quantum theory -- 1.1. Basic notions -- 1.2. Non-relativistic quantum theory -- 1.3. Exploiting quantum theory embedded in classical gravity -- 1.4. Special relativity -- 1.5. Dirac relativistic spinor theory -- 1.6. von Neumann algebras -- 1.7. A higher level of abstraction :…
"Version: 20240101"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Discovery of quantum optics -- 2.1. Optics timeline : from corpuscles and waves to photons -- 2.2. Classical, semi-classical or quantum? -- 2.3. From radio frequency electromagnetic fields controlling quantum systems to quantum optics and back3. What is quantum in quantum optics? -- 3.1. Einstein's i…
"Version: 20200501"--Title page verso.Includes bibliographical references.part I. Quantum logic. 1. Quantum logic -- 1.1. Overview -- 1.2. Motivations towards quantum computing -- 1.3. The relationship between reversible and quantum logic -- 1.4. Quantum computers -- 1.5. The working principles of quantum computers -- 1.6. The evolution of quantum computers -- 1.7. Why pursue quantum computing?…
"Version: 20200701"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Classical nature of light -- 2.1. Electromagnetic waves -- 2.2. Polarization -- 2.3. Experimental explorations3. Quantum nature of light -- 3.1. Quantum mechanical states -- 3.2. Qubits -- 3.3. Transforming quantum states -- 3.4. Measuring quantum states -- 3.5. Composite systems and entangled states…
"Version: 20230901"--Title page verso.Includes bibliographical references.1. Fundamentals of quantum mechanics and scattering theory -- 1.1. Quantum mechanics -- 1.2. Non-relativistic scattering theory2. Modern scattering theory -- 2.1. Elastic scattering from finite size effects -- 2.2. Bound states -- 2.3. Resonances3. Effective field theory of interactions and renormalization -- 3.1. Low-ene…
"Version: 20251001"--Title page verso.Includes bibliographical references.1. Short-distance universality -- 1.1. Two-body physics at short distances -- 1.2. A matter of scales : atoms and nuclei -- 1.3. Weak short-range universality -- 1.4. Strong short-range universality : Tan's relations -- 1.5. Tan's relations in one spatial dimension2. Bose-Fermi mapping and strongly interacting one-dimensi…
"Version: 20221201"--Title page verso.Includes bibliographical references.1. Gauge theories -- 1.1. Introduction to quantum electrodynamics -- 1.2. Abelian gauge invariance -- 1.3. Perturbative calculations at tree level in QED -- 1.4. Renormalization of QED -- 1.5. Compact Lie groups -- 1.6. Non-Abelian gauge theories -- 1.7. The Faddeev-Popov ansatz and gauge fixing for non-Abelian gauge theo…
"Version: 20170102"--Title page verso.Includes bibliographical references.Preface -- part I. Fundamentals -- 1. The classical state -- 2. Origins of quantum mechanics -- 3. The wave-like behavior of electrons -- 4. The quantum state -- 5. Dynamics of the quantum state -- 6. Energy and uncertainty -- 7. Operators and observationspart II. Exact solutions -- 8. Rectangular potentials -- 9. The har…