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. Readership: Graduate students in condensedmatter, nuclear and semiconductor physics, as well as nuclear, quantum and theoretical chemistry.
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approximation assume atoms Bosons calculation channel Chapter clusters collective component computed confinement consider constant contribution correlation corresponding defined density depends derived described determinant discussed distribution dynamic effective electron gas energy equation et al exact example exchange excitations experimental expression external fact factor Fermi Fermions field Finally finite frequency function given ground Hamiltonian homogeneous important integral interaction kinetic Landau leads Lett levels limit linear Lipparini magnetic field mass matrix elements mean metal method mode momentum Monte Carlo normalized Note obtain occupied operator oscillations parameter particle Phys physical possible potential produced properties quantum quantum dots relation reported respectively response function separable shows single-particle solution solved space spin starting static structure sum rule surface Table takes temperature term theory units values variational wave wavefunction yields zero