Microscopic Approaches To Quantum Liquids In Confined Geometries

This volume assembles review articles that present the status of frontline research in this field in a manner that makes the material accessible to the educated, but non-specialist, reader. The articles focus on the many-body aspects of the theory of quantum liquids in confined geometry. Research is in the very satisfactory situation where several accurate approaches are available that allow one to describe these systems in a quantitative manner without modelling uncertainty and uncontrolled assumptions. For example, dynamic situations of direct experimental relevance can be modelled with high accuracy.

Quantum liquids in confined geometries exhibit a large variety of new and interesting phenomena. For example, the internal structure of the liquid becomes more pronounced than in bulk liquids when the motion of the particles is restricted by an external matrix. Also, free quantum liquid droplets enable the study of the interaction of atoms and molecules with an external field without complications arising from interactions with container walls.This volume assembles review articles that present the status of frontline research in this field in a manner that makes the material accessible to the educated, but non-specialist, reader. The articles focus on the many-body aspects of the theory of quantum liquids in confined geometry. Research is in the very satisfactory situation where several accurate approaches are available that allow one to describe these systems in a quantitative manner without modelling uncertainty and uncontrolled assumptions. For example, dynamic situations of direct experimental relevance can be modelled with high accuracy.The theoretical approaches discussed are simulation methods, those semi-analytic many-body techniques that have proved to be successful in the field, and phenomenological density functional theories. Each of these methods has strengths and weaknesses, and it is hoped that this collection of comprehensive review articles in one volume will provide sufficient material for the reader to intelligently assess the theoretical problems, and the physical predictions of the individual theories.The collection is supplemented by several articles that highlight specific experimental issues (such as neutron or atom scattering, thermodynamics, phase transitions and magnetic properties), discuss the present directions of experimental research, and formulate questions and challenges for future theoretical work.

This book is devoted to the description of Bosonic and Fermionic systems: metallic clusters; quantum dots, wires, rings and molecules; trapped Fermi and Bose atoms; liquid drops of Helium; electron gas in different dimensions and geometries with and without magnetic fields.Extensively updated with 200 extra pages, the new edition of this successful book includes the field's cutting-edge areas: spin-orbit coupling in heterostructures and spintronics; the conductivity problem: conductivity of quantum wires, magnetoconductivity of nanostructures, spin-Hall conductivity; atomic Fermi gases in traps; non-collinear local spin density approximation calculations; and Brueckner-Hartree-Fock in finite size systems.

This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume.

This series on condensed matter theories provides a forum for advanced theoretical research in quantum many-body theory. The contributions are highly interdisciplinary, emphasizing common concerns among theorists who apply many-particle methods in such diverse areas as solid-state, low-temperature, statistical, nuclear, particle, and biological physics, as well as in quantum field theory, quantum information and the theory of complex systems. Each individual contribution is preceded by an extended introduction to the topic treated. Useful details not normally presented in journal articles can be found in this volume. Sample Chapter(s). Part A: Fermi Liquids: Pressure Comparison Between the Spherical Cellular Model and the Thomas-Fermi Model (290 KB). Contents: Condensation of Helium in Wedges (E S Hernindez et al.); Pairing in Asymmetrical Fermi Systems (K F Quader & R Liao); Quantum Boltzmann Liquids (K A Gernoth et al.); Fractionally Charged Excitations on Frustrated Lattices (E Runge et al.); On the de HaasOCoVan Alphen Oscillation in 2D (S Fujita & D L Morabito); The Concept of Correlated Density and Its Application (K Morawetz et al.); Pairing of Strongly Correlated Nucleons (W H Dickhoff); KohnOCoSham Calculations Combined with an Average Pair-Density Functional Theory (P Gori-Giorgi & A Savin); Maxent Approach to Qubits (C M Sarris et al.); Ergodic Condition and Magnetic Models (M H Lee); and other papers. Readership: Physicists, chemists and applied mathematicians interested in advanced theories of condensed matter and their applications."

In July 2000 a conference was held to honour the 65th birthdays of four of the leading international figures in the field of quantum many-body theory. The joint research careers of John Clark, Alpo Kallio, Manfred Ristig and Sergio Rosati total some 150 years, and this festschrift celebrated their achievements. These cover a remarkably wide spectrum. The topics in this book reflect that diversity, ranging from formal aspects to real systems, including nuclear and subnuclear systems, quantum fluids and solids, quantum spin systems and strongly correlated electron systems. The book collects more than 30 invited contributions from eminent scientists, chosen both from among the participants at the conference and from colleagues who were unable to attend but nevertheless wished to contribute. To match the high standing of the honourees, the articles are of an exceptionally high quality. Together they provide a vivid overview of current work across the spectrum of quantum many-body theory.

In July 2000 a conference was held to honour the 65th birthdays of four of the leading international figures in the field of quantum many-body theory. The joint research careers of John Clark, Alpo Kallio, Manfred Ristig and Sergio Rosati total some 150 years, and this festschrift celebrated their achievements. These cover a remarkably wide spectrum. The topics in this book reflect that diversity, ranging from formal aspects to real systems, including nuclear and subnuclear systems, quantum fluids and solids, quantum spin systems and strongly correlated electron systems. The book collects more than 30 invited contributions from eminent scientists, chosen both from among the participants at the conference and from colleagues who were unable to attend but nevertheless wished to contribute. To match the high standing of the honourees, the articles are of an exceptionally high quality. Together they provide a vivid overview of current work across the spectrum of quantum many-body theory.

This unique volume reviews more than fifty years of theoretical and experimental developments of the concept that properties of atomic nuclei up to a great extent are defined by the pair correlations of nuclear constituents — protons and neutrons. Such correlations in condensed matter are responsible for quantum phenomena on a macroscopic level — superfluidity and superconductivity. After introducing Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity of metals, it became clear that atomic nuclei have properties of superfluid drops, and practically all features of nuclei strongly depend on the pair correlations. Presenting a comprehensive overview of the progress of nuclear science, the contributions from leading physicists around the world, cover the whole spectrum of studies in nuclear physics and physics of other small systems. With the most updated information written in an accessible way, the volume will serve as an irreplaceable source of references covering many years of development and insight into several new problems at the frontiers of science. It will be useful not only for physicists working in nuclear and condensed matter physics, astrophysicists, chemists and historians of science, but will also help students understand the current status and perspectives for the future.

Quantum many-body theory has greatly expanded its scope and depth over the past few years, treating more deeply long-standing issues like phase transitions and strongly-correlated systems, and simultaneously expanding into new areas such as cold atom physics and quantum information. This collection of contributions highlights recent advances in all these areas by leaders in their respective fields. Also included are some historic perspectives by L P Gor'kov and S T Belyaev, Feenberg Medal Recipients at this conference, and Nobel Laureate P W Anderson gives his unique outlook on the future of physics.The volume covers the key topics in many-body theory, tied together through advances in theoretical tools and computational techniques, and a unifying theme of fundamental approaches to quantum many-body physics.

Quantum many-body theory as a discipline in its own right dates largely from the 1950's. It has developed since then to its current position as one of the cornerstones of modern theoretical physics. The field remains vibrant and active, vigorous and exciting. Its most powerful techniques are truly universal. They are constantly expanding to find new fields of application, while advances continue to be made in the more traditional areas.