{ "id": "1307.4369", "version": "v1", "published": "2013-07-15T14:44:27.000Z", "updated": "2013-07-15T14:44:27.000Z", "title": "Density-Functional theory, finite-temperature classical maps, and their implications for foundational studies of quantum systems", "authors": [ "M. W. C. Dharma-wardana" ], "comment": "one figure, http://iopscience.iop.org/1742-6596/442/1/012030", "journal": "Journal of Physics (IOP) J. Phys.: Conf. Ser. vol. 442 012030 (2013)", "doi": "10.1088/1742-6596/442/1/012030", "categories": [ "quant-ph", "physics.class-ph" ], "abstract": "The advent of the Hohenberg-Kohn theorem in 1964, its extension to finite-T, Kohn-Sham theory, and relativistic extensions provide the well-established formalism of density-functional theory (DFT). This theory enables the calculation of all static properties of quantum systems {\\it without} the need for an n-body wavefunction \\psi. DFT uses the one-body density distribution instead of \\psi. The more recent time-dependent formulations of DFT attempt to describe the time evolution of quantum systems without using the time-dependent wavefunction. Although DFT has become the standard tool of condensed-matter computational quantum mechanics, its foundational implications have remained largely unexplored. While all systems require quantum mechanics (QM) at T=0, the pair-distribution functions (PDFs) of such quantum systems have been accurately mapped into classical models at effective finite-T, and using suitable non-local quantum potentials (e.g., to mimic Pauli exclusion effects). These approaches shed light on the quantum \\to hybrid \\to classical models, and provide a new way of looking at the existence of non- local correlations without appealing to Bell's theorem. They also provide insights regarding Bohmian mechanics. Furthermore, macroscopic systems even at 1 Kelvin have de Broglie wavelengths in the micro-femtometer range, thereby eliminating macroscopic cat states, and avoiding the need for {\\it ad hoc} decoherence models.", "revisions": [ { "version": "v1", "updated": "2013-07-15T14:44:27.000Z" } ], "analyses": { "keywords": [ "quantum systems", "finite-temperature classical maps", "density-functional theory", "foundational studies", "implications" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics Conference Series", "year": 2013, "month": "Jun", "volume": 442, "number": 1, "pages": "012030" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JPhCS.442a2030D" } } }