Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/134439
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dc.titleSEMICLASSICAL PARTICLE DENSITIES FOR MANY-FERMION SYSTEMS
dc.contributor.authorCHAU THANH TRI
dc.date.accessioned2016-12-31T18:01:33Z
dc.date.available2016-12-31T18:01:33Z
dc.date.issued2016-08-18
dc.identifier.citationCHAU THANH TRI (2016-08-18). SEMICLASSICAL PARTICLE DENSITIES FOR MANY-FERMION SYSTEMS. ScholarBank@NUS Repository.
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/134439
dc.description.abstractThe present thesis fits within a self-consistent density-functional scheme for finding the particle density for interacting many-fermion systems by developing a consistent method for finding the semiclassical density in any dimension from the effective potential beyond the Thomas-Fermi density. This is motivated by the dazzling performance of the semiclassical density for 1D potentials with two turning points derived by [Ribeiro et al., PRL 114, 050401 (2015)], which unfortunately cannot be generalized to higher dimensions as it requires the wave function to be patched. We propose a method for finding the density from the quantum propagator, approximated in two ways: via the Suzuki-Trotter decomposition of the time-evolution operator or the van Vleck-Gutzwiller propagator. We recover from the latter among other things the leading term of Ribeiro et al.’s density. The densities obtained from the former approximation require no patching and hence apply to anisotropic potentials in higher dimensions.
dc.language.isoen
dc.subjectquantum gases, density functional theory, semiclassical fermion densities, ultra-cold atoms, semiclassical physics, Thomas-Fermi
dc.typeThesis
dc.contributor.departmentPHYSICS
dc.contributor.supervisorENGLERT, BERTHOLD-GEORG
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF SCIENCE
dc.identifier.isiutNOT_IN_WOS
Appears in Collections:Master's Theses (Open)

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