Modern Many-particle Physics: Atomic Gases, Quantum Dots And Quantum Fluids
An important part of this book is devoted to the description of homogenous systems, such as electron gas in different dimensions, the quantum well in an intense magnetic field, liquid helium and nuclear matter. However, the most relevant part is dedicated to the study of finite systems: metallic clusters, quantum dots, the condensate of cold and diluted atoms in magnetic traps, helium drops and nuclei. The book focuses on methods of getting good numerical approximations to energies and linear response based on approximations to first-principles Hamiltonians. These methods are illustrated and applied to Bose and Fermi systems at zero and finite temperature.Modern Many-Particle Physics is directed towards students who have taken a conventional course in quantum mechanics and possess a basic understanding of condensed matter phenomena.
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angular momentum approximation atoms Bosons calculation chemical potential computed condensate confinement potential correlation energy corresponding Coulomb Dalfovo defined density functional theory density response derived dynamic effective interaction electron gas energy per particle equation example exchange-correlation excitations experimental expression f-sum rule Fermi gas Fermi surface Fermions finite temperature free response function frequency g matrix given ground Hamiltonian Hartree Hartree–Fock homogeneous system hydrodynamic integral isospin jellium kinetic energy Landau levels Lett limit linear response linear response function Lipparini LSDA magnetic field matrix elements metal clusters mode Monte Carlo non-interacting nuclei obtain occupation numbers one-body operator Phys plasmon quadrupole quantum dots quasiparticle respectively RPAE Section Serra single-particle energies single-particle wavefunctions Slater determinant ſº solution spectrum static Stringari sum rule symmetry TDLSDA term transverse two-body values velocity vext wavefunction zero