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Showing 1 to 20 of 28 for “"Many-body problem"”.
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Bosonization and the many-body problem
… thesis the method of bosonization of fermionic many-body systems in any number of dimensions is developed. After an introduction to the problem in chapter 1 and to the method of bosonization in chapter 2 (with its application to the non-interacting problem) the Fermi liquid behavior of …
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Computational Approaches to the Nuclear Many-Body Problem
<p>The nuclear many-body problem is conceptualized in an infinite-dimensional Hilbert space, but computationally solved in a finite one. Thus, the predictive power of microscopic calculations relies on the truncated representation of the infinite-dimensional space as well as leveraging advanced …
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Diagrammatic theories for the vibrational many-body problem
Anharmonic vibrational many-body methods are developed for and applied to small molecules and extended systems in a bound potential energy surface (PES). Diagrammatically size-consistent and basis-set-free vibrational coupled-cluster (XVCC) theory for both zero-point energies and transition …
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Functional integration applied to the nuclear many body-problem
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Physics, 1982.
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Coupled-cluster methods for open-shell molecular and other many-fermion systems
Thesis (Ph. D.)--Michigan State University. Dept. of Chemistry, 2010
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Theoretical study of interacting low dimensional electron systems
… addresses the question of a strongly interacting many-body problem: the Hubbard model on one- and two-dimensional lattices. The technique employed is the small-cluster method wherein the full many-body Hamiltonian for finite clusters with periodic boundary conditions (PBC's) is solved exactly. We …
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Holographic superconductor with multiple competing condensates
… novel approach to modeling strongly interacting many-body systems. By reorganizing the quantum many-body problem into an equivalent problem in classical gravity, holography makes it relatively easy, for example, to study linear response and compute transport coefficients. These techniques have …
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cell motility and machine learning
… method on sperm classification and quantum many body problem. In sperm classification, we could get around 70\% accuracy with balanced good and poor example. In quantum many body problem, we proposed a deep neural network to calculate the ground-state energies and it shows excellent …
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Dynamical path integral calculations for condensed phase processes
… Thus a typical computation of an interesting many-body problem quickly becomes prohibitive. In this work, we try to circumvent this exponential scaling by treating a few degrees of freedom explicitly (i.e. the system) while integrating out the rest of the degrees of freedom (i.e. the bath). …
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A systematic computational study of cavity and waveguide quantum electrodynamics
… classical dyadic Green's function, the quantum many body problem of multiple atoms interacting with an arbitrary lossless electromagnetic environment is reduced to a computationally manageable size. The resulting semi-analytical formulation solves the atomic dynamics using dressed states of the …
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First-Principles Study of Metal-Ceramic Interfaces
Submitted by Meng Tao (mengtao2@illinois.edu) on 2012-11-14T18:24:49Z No. of bitstreams: 1 Siegel_Donald.pdf: 7511521 bytes, checksum: 6f8fb323833d73f093cfa2ec9669d742 (MD5)
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Bogoliubov Excitations of Inhomogeneous Bose-Einstein Condensates
… potentials. In the Bogoliubov approach, the many-body problem is split into the Gross-Pitaevskii condensate (mean-field) and the Bogoliubov excitations, which are bosonic quasiparticles. The disorder potential causes an imprint in the condensate, which makes the Hamiltonian for the Bogoliubov …
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Data-Driven Methods for Low-Energy Nuclear Theory
… describes computational methods for numerical problem solvingwhich have been developed by the field of data science; these are at the intersection of computer science,mathematics, and statistics. When applied to a domain science like nuclear physics, especially with the goalof deepening …
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Study of Ultracold Fermi Gases in the BCS-BEC Crossover: Quantum Monte Carlo Methods, Hydrodynamics and Local Density Approximation.
… great control on the relevant parameters of the problem and the relative simplicity of the minimal theory which is able to correctly describe the system. Building upon this solid background, ultracold gases provided an ideal laboratory for testing more refined theories and also for addressing …
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Case Studies in Many-Body Physics
<p>The many-body problem refers to any physical problem made of more than two interacting particles. With increasing number of particles in a system, their coupling and entanglement becomes more complex, and there is no general analytic solution even for a three-body classical or quantum systems. …
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