Mathematical physics

This book provides a systematic study of spectral and scattering theory  for many-body Schrodinger operators at two-cluster thresholds.

This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest.

This book is an elaboration of lecture notes for the graduate course on General Rela- tivity given by the author at Boston University in the spring semester of 1972.

Symmetry is a key ingredient in many mathematical, physical, and biological theories.

Neural networks represent a powerful data processing technique that has reached maturity and broad application.

Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level.

The major goal of this book is to present the implementation of some damage models with finite elements.

This book, provides a general introduction to the ideas and methods of statistical mechanics with the principal aim of meeting the needs of Master's students in chemical, mechanical, and materials science engineering.

This book is intended to engage the students in the elegance of electrodynamics and special relativity, whilst giving them the tools to begin graduate study.

The expanded 3rd edition of this established textbook offers an updated overview and review of the computational physics techniques used in materials modelling over different length and time scales.

Self-contained introductory textbook suitable for a variety of one- or two-semester courses.

This monograph is devoted to an entirely new branch of nonlinear physics - solitary intrinsic states, or autosolitons, which form in a broad class of physical, chemical and biological dissipative systems.

In this volume a theory for models of transport in the presence of a free boundary is developed.

This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following relations:* Time and physics* Time, philosophy and psychology* Time, mathematics and information theoryIt is a unique contribution by philosophers and scientists who are active in mathematics, physics, biology, engineering, information theory and psychology.

This book presents a unified view of the response of materials as a result of femtosecond laser excitation, introducing a general theory that captures both ultrashort-time non-thermal and long-time thermal phenomena.

Perturbation theory and in particular normal form theory has shown strong growth during the last decades.

Molecular Theory of Solvation presents the recent progress in the statistical mechanics of molecular liquids applied to the most intriguing problems in chemistry today, including chemical reactions, conformational stability of biomolecules, ion hydration, and electrode-solution interface.

ThisvolumecelebratestheeightiethbirthdayofJosephB.

This book constitutes the post-conference proceedings of the First International Conference on Advanced Computational Applications of Geometric Algebra, ICACGA 2022, held in Denver, CO, USA, during October 2-5, 2022.

The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

This book provides a completely revised and expanded version of the previous classic edition 'General Relativity and Relativistic Astrophysics'.

This book lays out a new, general theory of light propagation and imaging through Earth's turbulent atmosphere.

A great deal of the success of science has rested on its specific methods.

The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted.

This monograph forms an interdisciplinary study in atomic, molecular, and quantum information (QI) science.

This monograph explores classical electrodynamics from a geometrical perspective with a clear visual presentation throughout.

A fundamental step towards gaining a deeper understanding of our world is to increase the resolution of the investigative instruments we use; i.

This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations.

This book presents computer simulations using molecular dynamics techniques in statistical physics, with a focus on macromolecular systems.

Many times all of us could hear from mass media that an asteroid approached and swept past the Earth.

This is the first book to systematically consider the modern aspects of chaotic dynamics of magnetic field lines and charged particles in magnetically confined fusion plasmas.

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics.

This book presents a basic introduction to quantum mechanics.

Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.

Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti?

Describes advanced algorithms for students in computational physics, quantum mechanics, atomic and molecular physics, and condensed matter theory.

This book presents established and new approaches to perform calculations of electrostatic interactions at the nanoscale, with particular focus on molecular biology applications.

It is close enough to the end of the century to make a guess as to what the Encyclopedia Britannica article on the history of mathematics will report in 2582: "e;We have said that the dominating theme of the Nineteenth Century was the development and application of the theory of functions of one variable.

The aim of this journal (www.

This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17-20, 2022.

This collection of selected papers presented at the 11th International Conference on Scientific Computing in Electrical Engineering (SCEE), held in St.

This book develops a unified mathematical framework for treating a wide variety of diffusion-related periodic phenomena.

Einstein's theory of general relativity is one of the pillars of modern physics and it is our standard framework for describing gravitational fields and the spacetime structure.

In spite of the impressive predictive power and strong mathematical structure of quantum mechanics, the theory has always suffered from important conceptual problems.