Mathematical physics

Quantum mechanics undergraduate courses mostly focus on systems with known analytical solutions; the finite well, simple Harmonic, and spherical potentials.

This book presents a self-contained derivation of van der Waals and Casimir type dispersion forces, covering the interactions between two atoms but also between microscopic, mesoscopic, and macroscopic objects of various shapes and materials.

This book is a guide to numerical methods for solving fluid dynamics problems.

This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations V, which was held at the University of Minho, Braga, Portugal, from the 28th to 30th November 2016.

This textbook teaches the essential background and skills for understanding and quantifying uncertainties in a computational simulation, and for predicting the behavior of a system under those uncertainties.

This special issue collects selected contributions (excluding general lectures) of a Symposium on "e;Micro to MACRO Mathematical Modelling in Soil Mechanics"e;, which took place at the University of Reggio Calabria, Italy, from May 29th to June 1st, 2018.

This book addresses the current status, challenges and future directions of data-driven materials discovery and design.

Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts.

The book presents the winners of the Abel Prize in mathematics for the period 2013-17: Pierre Deligne (2013); Yakov G.

This book develops the theory of electromagnetic (EM) precursors to seaquakes (i.

This book presents a new approach to learning the dynamics of particles and rigid bodies at an intermediate to advanced level.

This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects.

This book is devoted to the physical and mathematical modeling of the formation of complexes of protein molecules.

This book presents the author's personal historical perspective and conceptual analysis on symmetry and geometry.

This book employs computer simulations of 'artificial' Universes to investigate the properties of two popular alternatives to the standard candidates for dark matter (DM) and dark energy (DE).

Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers.

This by now classic text provides an excellent introduction to and survey of the still-expanding field of quantum chaos.

Topological surgery is a mathematical technique used for creating new manifolds out of known ones.

This book contains a collection of original research articles and review articles that describe novel mathematical modeling techniques and the application of those techniques to models of cell motility in a variety of contexts.

This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.

This book employs computer simulations of 'artificial' Universes to investigate the properties of two popular alternatives to the standard candidates for dark matter (DM) and dark energy (DE).

This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics.

Unifying Themes in Complex Systems is a well-established series of carefully edited conference proceedings that serve to document and archive the progress made regarding cross-fertilization in this field.

Computational fluid-structure interaction and flow simulation are challenging research areas that bring solution and analysis to many classes of problems in science, engineering, and technology.

Quantum machine learning investigates how quantum computers can be used for data-driven prediction and decision making.

This monograph discusses the essential principles of the evaporationprocess by looking at it at the molecular and atomic level.

This monograph deals with theoretical aspects and numerical simulations of the interaction of electromagnetic fields with nonlinear materials.

This book constitutes the thoroughly refereed proceedings of the Clausthal-Gottingen International Workshop on Simulation Science, held in Gottingen, Germany, in April 2017.

This book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity.

This book addresses several aspects of the integrable structure of the AdS/CFT correspondence.

This book provides a comprehensive overview of modern computer-based techniques for analyzing the structure, properties and dynamics of biomolecules and biomolecular processes.

Empirical laws are rare in economics.

This book presents a three-dimensional model of the complete unicycle-unicyclist system.

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus.

This Brief presents in a self-contained, non-technical and illustrative fashion the state-of-the-art results and techniques for the dynamics of extremal black holes.

This book investigates the common nature of granular and active systems, which is rooted in their intrinsic out-of-equilibrium behavior, with the aim of finding minimal models able to reproduce and predict the complex collective behavior observed in experiments and simulations.

This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes - which can be e.

Starting from a broad overview of heat transport based on the Boltzmann Transport Equation, this book presents a comprehensive analysis of heat transport in bulk and nanomaterials based on a kinetic-collective model (KCM).