The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles,…
The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles,…
This self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 149 figures. 8 t…
"The Rapid Evaluation of Potential Fields in Particle Systems presents a group of algorithms for the computation of the potential and force fields in large-scale systems of particles that are likely to revolutionize a whole class of computer applications in science and engineeri…
Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- List of Figures -- List of Tables -- Preface -- 1: Introduction -- 1.1 Background -- 1.2 Born-Oppenheimer approximation -- 1.3 Approximate methods -- 1.3.1 Variational method: Linear variation principle …
Probability, information and physics -- Dynamics of particles -- Perturbation theory -- Scattering theory -- Green functions method in mathematical physics -- Symmetry and invariance -- The angular momentum and spin -- Equilibrium statistical thermodynamics -- Dynamics and stati…
This paper is devoted to scattering theory for multiparticle systems. The main result is a proof of the completeness of the scattering eigenfunctions for systems of an arbitrary but fixed number of particles.
