Invited Articles -- Progress in Quantum Algorithms -- NMR Quantum Information Processing -- Quantum Computing with Trapped Ion Hyperfine Qubits -- Ion Trap Quantum Computing with Ca+ Ions -- Quantum Information Processing in Cavity-QED -- Quantum Information Processing with Trapped Neutral Atoms -- The Road to a Silicon Quantum Computer -- Controlling Spin Qubits in Quantum Dots -- Spin-based Q…
Introduction -- Feynman Integrals: Basic Definitions and Tools -- Evaluating by Alpha and Feynman Parameters -- Evaluating by Mellin-Barnes Representation -- IBP and Reduction to Master Integrals -- Reduction to Master Integrals by Baikov's method -- Evaluation by Differential Equations -- Appendix A. Tables -- Appendix B. Some Special Functions -- Appendix C. Summation Formulae -- Appendix D. …
The Four-Dimensional Spacetime -- The Evolution Formalism -- Free Evolution -- First Order Hyperbolic Systems -- Boundary Conditions -- Black Hole Simulations -- References -- Index.Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a m…
Clustering in Globally Coupled Maps -- Snychronisation in CML -- Dynamics of Frenkel-Kontorova Chains -- Attractors and Bifurcations in CML -- Dynamics of Genetic Regulation Networks -- Phase Transitions in CML -- Introduction to CML -- Topological Properties of Chaotic CML -- TBA -- Monotonic Dynamics of Extended Systems -- Neural Networks: Integro-Differential Models -- Equilibrium States for…
The Appetizers -- Linear ODEs of Physics -- Applications of Series -- Vectors and Matrices -- The Entrees -- Linear PDEs of Physics -- Complex Variables -- Integral Transforms -- Calculus of Variations -- The Desserts -- NLODEs & PDEs of Physics -- Numerical Methods.Over two hundred novel and innovative computer algebra worksheets or "recipes" will enable readers in engineering, physics, and ma…
Elements of Probability Theory -- Elements of Statistical Theory -- Applied Linear Regression -- Profile Analysis -- Discriminant Analysis -- Statistical Software -- Annotated Plasma Physical Datasets.Classical Methods of Statistics is a blend of theory and practical statistical methods written for graduate students and researchers interested in applications to plasma physics and its experiment…
Spherical Symmetry -- Coulomb Problem -- Particles with Spin -- Qubits -- Composite Systems -- Quantum Information Theory -- Relativistic Systems in One Dimension -- The Dirac Equation.Advanced Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. It is a self-contained textbook that combines selected topics …
Linear Partial Differential Equations -- Nonlinear Model Equations and Variational Principles -- First-Order, Quasi-Linear Equations and Method of Characteristics -- First-Order Nonlinear Equations and Their Applications -- Conservation Laws and Shock Waves -- Kinematic Waves and Real-World Nonlinear Problems -- Nonlinear Dispersive Waves and Whitham’s Equations -- Nonlinear Diffusion-Reactio…