Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Pr…
Units and Vectors -- Kinematics -- Newton’s Laws -- Work and Energy -- Impulse, Momentum and Collisions -- System of Particles -- Rotation of Rigid Bodies -- Rolling and Static Equilibrium -- Central Force Motion -- Oscillatory Motion.Open AccessThis open access textbook takes the reader step-by-step through the concepts of mechanics in a clear and detailed manner. Mechanics is considered to …
Wave Processes at Interfaces -- Numerics for Magnetoplasmadynamic Propulsion -- Hexagonal Kinetic Models and the Numerical Simulation of Kinetic Boundary Layers -- High-resolution Simulation of Detonations with Detailed Chemistry -- Numerical Linear Stability Analysis for Compressible Fluids -- Simulation of Solar Radiative Magneto-Convection -- Riemann Problem for the Euler Equation with Non-C…
Fresnel’s (Dragging) Coefficient as a Challenge to 19th Century Optics of Moving Bodies -- Poincaré’s Relativistic Theory of Gravitation -- Standing on the Shoulders of a Dwarf: General Relativity—A Triumph of Einstein and Grossmann’s Erroneous Entwurf Theory -- Before the Riemann Tensor: The Emergence of Einstein’s Double Strategy -- A Conjecture on Einstein, the Independent Reality…
The intriguing mechanism of spontaneous symmetry breaking is a powerful innovative idea at the basis of most of the recent developments in theoretical physics, from statistical mechanics to many-body theory to elementary particles theory; for infinitely extended systems a symmetric Hamiltonian can account for non symmetric behaviours, giving rise to non symmetric realizations of a physical syst…
The Earth's Climate and its Response to Solar Variability: The Climate System -- Atmospheric Dynamics, Modes of Variability and Climate Modelling -- Climate Records -- Radiative Processes in the Atmosphere -- The Greenhouse Effect and Radiative Forcing of Climate Change -- Clouds -- Atmospheric Photochemistry -- Response of Climate to Variations in Solar Irradiance -- The Earth's Electric Field…
Local Starbursts as Benchmarks for Galaxy Evolution -- Local Starbursts in a Cosmological Context -- Starbursts in the Evolving Universe: A Local Perspective -- Are There Local Analogs of Lyman Break Galaxies? -- The Disk Wolf-Rayet Population of the Nuclear Starburst Galaxy M83 -- Laser Illuminates Compact Galaxies -- First Spectroscopic Results from the Spitzer Infrared Nearby Galaxies Survey…
The Stability of Matter: From Atoms to Stars -- Lower bound to the energy of complex atoms -- Improved Lower Bound on the Indirect Coulomb Energy -- Letter to the Editor -- Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle -- Atomic and Molecular Negative Ions -- Bound on the maximum negative ionization of atoms and molecules -- Approximate Neutrality of Large…
Introduction -- Flare Stars in a Quiescent State: General Characteristics of Flare Stars -- Photospheres -- Chromospheres and Transition Regions -- Coronae and Stellar Winds -- Heating Mechanisms for Stellar Atmospheres -- Flares: General Description of Stellar Flares -- Temporal Characteristics of Flares -- Flare Energy -- Dynamics and Radiation Mechanisms of Flares -- Models of Stellar Flares…
Adaptive Optics Instrumentation, Data Acquisition and Reduction Strategies -- The Sun and (Exo-)Planets -- Star Formation and Brown Dwarfs -- Evolved Stars -- Galactic Center and AGN -- Galaxies and Cosmology.The field of Adaptive Optics (AO) for astronomy has matured in recent years, and diffraction-limited image resolution in the near-infrared is now routinely achieved by ground-based 8 to 10…