Quantum Theory of Large Systems of Non-Relativistic Matter
by J. Froehlich, U.M. Studer, E. Thiran
Publisher: arXiv 1995
Number of pages: 145
Contents: The Pauli Equation and its Symmetries; Gauge Invariance in Non-Relativistic Quantum Many-Particle Systems; Some Key Effects Related to the U(1)xSU(2) Gauge Invariance of Non-Relativistic Quantum Mechanics; Scaling Limit of the Effective Action of Fermi Systems, and Classification of States of Non-Relativistic Matter; Scaling Limit of the Effective Action of a Two -Dimensional, Incompressible Quantum Fluid; etc.
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by Andrei Postnikov - Universite de Lorraine
Contents: Thomas-Fermi method; Hartree-Fock formalism; Total energy as functional of electron density; Practical implementation of DFT and HF calculation schemes; Response properties in ab initio schemes; Order-N methods; Lattice dynamics.
by Kieron Burke, et al. - University of California, Irvine
DFT is not just another way of solving the Schroedinger equation. Density functional theory is a completely different, rigorous way of approaching any interacting problem, by mapping it exactly to a much easier-to-solve non-interacting problem.
by Chetan Nayak - University of California
Contents: Basic Formalism; Goldstone Modes and Spontaneous Symmetry Breaking; Critical Fluctuations and Phase Transitions; Symmetry-Breaking In Fermion Systems; Gauge Fields and Fractionalization; Localized and Extended Excitations in Dirty Systems.
by Carlo F. Barenghi, Nick G. Parker - Springer
This book introduces the theoretical description of quantum fluids. The focus is on gaseous atomic Bose-Einstein condensates and, to a minor extent, superfluid helium, but the underlying concepts are relevant to other forms of quantum fluids.