This volume is devoted to applications of algebraic methods in integral systems, solid state physics and in the theory of phase transitions. The contributions reflect the latest achievements in the fields concerned.
The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed. The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras.
19th International Conference on Recent Progress in Many-Body Theories (MBT19) Jong E. Han 1 , Ki-Seok Kim 2 1 Department of Physics, University at Buffalo SUNY, Buffalo NY 14260, USA 2 Department of Physics, Pohang University of Science and Technology, Pohang, Korea E-mail: jonghan@buffalo.edu The 19th International Conference on Recent Progress in Many-Body Theories (MBT19) was held at the Asia Pacific Center for Theoretical Physics (APCTP) on June 25-30, 2017. The conference continued the approximately biennial series initiated in Trieste in 1978 and was devoted to new developments in the field of many-body theories, with an added focus on electron transport and nanostructures. The conference series encourages the exchange of ideas between physicists working in such diverse areas as nuclear and condensed matter physics, quantum chemistry, lattice Hamiltonians or quantum fluids. This volume includes the proceedings of the conference. Many-body theories are an integral part in different fields of theoretical physics such as condensed matter, nuclear matter that share common methodology often leading to unifying concepts. Phase transitions and macroscopic quantum effects such as magnetism, Bose-Einstein condensation, superfluidity or superconductivity have been investigated within ultra-cold gases, finite systems or various nanomaterials. Traditional equilibrium theories are now expanded to strong-field and ultrafast dynamics of condensed matter systems. The conference series on Recent Progress in Many-Body Theories (RPMBT) is devoted to foster interaction and cross-fertilization between different fields and also to discuss future lines of research. Conference photograph is available in this pdf.