Téléchargement | - Voir le manuscrit accepté : Density-functional theory, finite-temperature classical maps, and their implications for foundational studies of quantum systems (PDF, 630 Kio)
|
---|
DOI | Trouver le DOI : https://doi.org/10.1088/1742-6596/442/1/012030 |
---|
Auteur | Rechercher : Dharma-Wardana, M. W. C.1 |
---|
Affiliation | - Conseil national de recherches du Canada. Technologies de sécurité et de rupture
|
---|
Format | Texte, Article |
---|
Conférence | 6th International Workshop on Decoherence, Information, Complexity and Entropy: Spacetime - Matter - Quantum Mechanics - From the Planck Scale to Emergent Phenomena, DICE 2012, September 17-21, 2012, Castiglioncello, Tuscany, Italy |
---|
Sujet | De Broglie wavelength; Decoherence models; Density distributions; Hohenberg-Kohn theorem; Local correlations; Macroscopic systems; Pair distribution functions; Pauli exclusion effects; Density functional theory; Quantum electronics; Quantum optics |
---|
Résumé | 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 without the need for an n-body wavefunction ψ. DFT uses the one-body density distribution instead of ψ. 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 → hybrid → 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 ad hoc decoherence models. |
---|
Date de publication | 2013 |
---|
Dans | |
---|
Langue | anglais |
---|
Publications évaluées par des pairs | Oui |
---|
Numéro NPARC | 21270514 |
---|
Exporter la notice | Exporter en format RIS |
---|
Signaler une correction | Signaler une correction (s'ouvre dans un nouvel onglet) |
---|
Identificateur de l’enregistrement | c3c20ad8-2112-41a6-9095-41bee10f006a |
---|
Enregistrement créé | 2014-02-14 |
---|
Enregistrement modifié | 2020-06-04 |
---|