"Version: 20151101"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.Preface -- 1. The Lorentz group and its representations -- 1.1. Generators of the Lorentz group -- 1.2. Two-by-two representation of the Lorentz group -- 1.3. Representations based on harmonic oscillators2. Wigner's little groups for intern…
"Version: 202303"--Title page verso.Includes bibliographical references.part I. The fundamentals. 1. Linear programming -- 1.1. The basics -- 1.2. Geometric interpretation -- 1.3. Duality -- 1.4. Slack variables -- 1.5. Weak and strong duality -- 1.6. Concluding remarks -- 1.7. Advanced topics -- 1.8. Further reading2. Semidefinite programming -- 2.1. Primal semidefinite programs -- 2.2. Dualit…
"Version: 20210207"--Title page verso.Includes bibliographical references and index.1. Introduction -- 1.1. Introduction -- 1.2. Essentials of quantum mechanics -- 1.3. Ward's succinct perspectives -- 1.4. The philosophy and the physics of quantum entanglement -- 1.5. Quantum entanglement as a discipline -- 1.6. Quantum entanglement engineering and applications -- 1.7. Intent2. Dirac's notation…
"Version: 20220701"--Title page verso.Includes bibliographical references.1. Two-level quantum systems -- 1.1. Vectors and matrices -- 1.2. Foundation of quantum mechanics -- 1.3. Quantum state vectors -- 1.4. Non-cloning principle for qbit -- 1.5. Quantum entanglement -- 1.6. Another example of qbit2. Universal gates -- 2.1. Classical universal gates -- 2.2. Alternative universal gates -- 2.3.…
"Version: 20251101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. History of Bose-Einstein condensates -- 1.2. Bose-Einstein condensation : an experimental and theoretical perspective -- 1.3. Mean field description and Gross-Pitaevskii equation -- 1.4. Fermionic condensates -- 1.5. Beyond mean-field description -- 1.6. Outline2. Analytical methods -- 2.1 Inverse …
"Version: 202112"--Title page verso.Includes bibliographical references and index.1. Theoretical aspects -- 1.1. The Jaynes-Cummings model -- 1.2. Jaynes-Cummings dynamics -- 1.3. Driven and open Jaynes-Cummings physics -- 1.4. Beyond the rotating wave approximation : the quantum Rabi model -- 1.5. Extended Jaynes-Cummings models -- 1.6. Extended Jaynes-Cummings models turned into single partic…
"Version: 20200801"--Title page verso.Includes bibliographical references.1. Preliminaries -- 1.1. Functionals and classical mechanics -- 1.2. The operator formulation of quantum mechanics -- 1.3. Operator identities -- 1.4. Grassmann variables -- 1.5. Gaussian integrals -- 1.6. Poisson resummation2. The quantum mechanical path integral -- 2.1. The infinitesimal transition element -- 2.2. The b…
"Version: 20210301"--Title page verso.Includes bibliographical references.1. Introduction to molecular-scale electronics -- 1.1. Background -- 1.2. The theoretical challenges addressed by this book -- 1.3. De Broglie wave patterns -- 1.4. The Landauer formula -- 1.5. Resonant transport -- 1.6. Thermoelectricity -- 1.7. Off-resonance transport -- 1.8. Intuitive picture of Green's functions -- 1.…
"Version: 20210201"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Two flavors of hydrogen atoms : a possible explanation of dark matter -- 2.1. The mystery and its resolution through a fundamental discovery -- 2.2. An alternative kind of hydrogen atom as a possible explanation of the latest puzzling observation of the 21 cm radio line from the early Universe -- 2.3…
"Version: 20231101"--Title page verso.Includes bibliographical references.part I. Introduction. 1. Introduction -- 1.1. Particles in classical transport -- 1.2. The quantum mechanical view of particles -- 1.3. Electronic devices as complex systems -- 1.4. Probability and particles -- 1.5. Various approaches for semiconductor devices -- 1.6. An outline of this book -- Appendix A. On quantization…