Fundamentals of Anisotropic Elasticity and Analytical Methodologies -- Anisotropic Materials -- Plane Deformation Analysis -- Solution Methodologies -- Foundations of Anisotropic Beam Analysis -- Beams of General Anisotropy -- Homogeneous, Uncoupled Monoclinic Beams -- Non-Homogeneous Plane and Beam Analysis -- Solid Coupled Monoclinic Beams -- Thin-Walled Coupled Monoclinic Beams -- Program De…
Introduction and Overview (E. Bick, F.D. Steffen) -- Topological Concepts in Gauge Theories (F. Lenz) -- Aspects of BRST Quantization (J.W. van Holten) -- Chiral Anomalies and Toplogy (J. Zinn-Justin) -- Supersymmetric Solitons and Topology (M. Shifman) -- Forces From Connes`Geometry (T. Schücker).Application of the concepts and methods of topology and geometry have led to a deeper understandi…
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…
Statistical Methods -- Uniform and Correlated Mass Density Fields -- The Power Spectrum and the Classification of Stationary Stochastic Fields -- Fractals -- Multifractals and Mass Distributions -- Applications to Cosmology -- Fluctuations in Standard Cosmological Models: A Real Space View -- Discrete Representation of Fluctuations in Cosmological Models -- Galaxy Surveys: An Introduction to Th…
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…
The Role of Mathematics in Physical Sciences — Interdisciplinary and Philosophical Aspects -- Mathematics and Physics: Reflecting on the Historical Role of Mathematics -- Oliver Heaviside’s “Dinner” -- Quantum Physics and Mathematical Debates Concerning the Problem of the Ontological Priority between Continuous Quantity and Discrete Quantity -- John von Neumann on Mathematical and Axiom…
On the Impossibility of Detecting Uniform Motion -- Exploring the Internal Logic of Galileo’s Principle of Relativity -- Relativity in Euclidean Space and in Spacetime -- Relativity and the Dimensionality of the World: Spacetime Is Real -- Quantum Mechanics and the Nature of Spacetime -- The Nature of Spacetime and Validity of Scientific Theories -- Propagation of Light in Non-Inertial Refere…
25 Years of Quantum Hall Effect (QHE) A Personal View on the Discovery, Physics and Applications of this Quantum Effect -- Physics in a Strong Magnetic Field -- The Quantum Hall Effect as an Electrical Resistance Standard -- to the Fractional Quantum Hall Effect -- Tunneling Experiments in the Fractional Quantum Hall Effect Regime.
Noncommutative Geometry -- Poisson Geometry and Deformation Quantization -- Applications in Physics -- Topological Quantum Field Theory.This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challeng…
Results in Relativistic Quantum Mechanics -- The Construction of Fields -- Canonical Quantization -- Commutators and Propagators -- Interactions and the S-matrix -- The Electromagnetic Field -- Examples of Scattering Processes -- Functional Integral Representations -- Renormalization -- Gauge Theories -- Symmetry -- Spontaneous symmetry breaking -- Anomalies I -- Elements of differential geomet…