Academic literature on the topic 'RPA [Approximation phase aléatoire]'

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Journal articles on the topic "RPA [Approximation phase aléatoire]"

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FETTER, A. L., C. B. HANNA, and R. B. LAUGHLIN. "ANYONS AND SUPERCONDUCTIVITY: RANDOM PHASE APPROXIMATION." International Journal of Modern Physics B 05, no. 16n17 (1991): 2751–90. http://dx.doi.org/10.1142/s0217979291001097.

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The two-dimensional ideal gas of particles obeying ν fractional statistics is recast as an interacting Fermi gas with long-range gauge potentials. A self-consistent dielectric description of the random phase approximation (RPA) provides a concise expression for the linear response of the fractional statistics gas to an external electromagnetic field. The RPA, believed to be correct for the present case of long-range interactions, yields two central results that are classic features of superconductivity: (1) a sharp undamped collective mode with a linear dispersion relation at long wavelengths:
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KHVESHCHENKO, D. V., and IAN I. KOGAN. "ANYON SUPERCONDUCTIVITY BEYOND THE RANDOM PHASE APPROXIMATION." International Journal of Modern Physics B 05, no. 14 (1991): 2355–83. http://dx.doi.org/10.1142/s0217979291000924.

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We carry out a revision of the mechanism of anyon superconductivity found in the Random Phase Approximation. It is shown that the Debye screening of a statistical Coulomb-like interaction produced by contributions beyond the RPA destroys the abovementioned mechanism. The linear mode appeared in the particle-hole channel within the RPA is identified with a finite damping zero-sound. As an alternative mechanism an attraction of anyons which could lead to a formation of boson composites is observed. A finite temperature phase transition, hydrodynamics and electrodynamics of anyon system are descr
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DUKELSKY, J., and P. SCHUCK. "VARIATIONAL RANDOM PHASE APPROXIMATION FOR THE ANHARMONIC OSCILLATOR." Modern Physics Letters A 06, no. 26 (1991): 2429–35. http://dx.doi.org/10.1142/s0217732391002852.

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The recently derived Variational Random Phase Approximation is examined using the anharmonoic oscillator model. Special attention is paid to the ground state RPA wave function and the convergence of the proposed truncation scheme to obtain the diagonal density matrix.
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Terasaki, J., A. Smetana, F. Šimkovic, and M. I. Krivoruchenko. "Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation." International Journal of Modern Physics E 26, no. 10 (2017): 1750062. http://dx.doi.org/10.1142/s0218301317500628.

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It is shown that the random-phase approximation (RPA) method with its nonlinear higher generalization, which was previously considered as approximation except for a very limited case, reproduces the exact solutions of the Lipkin model. The nonlinear higher RPA is based on an equation nonlinear on eigenvectors and includes many particle-many hole components in the creation operator of the excited states. We demonstrate the exact character of solutions analytically for the particle number [Formula: see text] and, numerically, for [Formula: see text]. This finding indicates that the nonlinear hig
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Zhang, Min-Ye, Zhi-Hao Cui, and Hong Jiang. "Relative stability of FeS2polymorphs with the random phase approximation approach." Journal of Materials Chemistry A 6, no. 15 (2018): 6606–16. http://dx.doi.org/10.1039/c8ta00759d.

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JOHNSON, CALVIN W., and IONEL STETCU. "SHORTCUTS TO NUCLEAR STRUCTURE: LESSONS IN HARTREE–FOCK, RPA, AND THE NO-CORE SHELL MODEL." International Journal of Modern Physics E 14, no. 01 (2005): 57–65. http://dx.doi.org/10.1142/s0218301305002771.

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While the no-core shell model is a state-of-the-art microscopic approach to low-energy nuclear structure, its intense computational requirements lead us to consider time-honored approximations such as the Hartree–Fock (HF) approximation and the random phase approximation (RPA). We review RPA and point out some common misunderstandings, then apply HF + RPA to the no-core shell model. Here the main issue is appropriate treatment of contamination by spurious center-of-mass motion.
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Taqi, Ali H., R. A. Radhi, and Adil M. Hussein. "Low excitations of 16O using generalized density matrix random phase approximation GDRPA." International Journal of Modern Physics E 23, no. 08 (2014): 1450038. http://dx.doi.org/10.1142/s0218301314500384.

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The random phase approximation (RPA) equations based on the generalized density matrix (GDM), the so-called GDRPA are reformulated in a more compact matrix form, which renders the method especially suitable for realistic nuclear structure calculations. The GDRPA Hamiltonian is expressed in terms of the one-body particle–particle (pp) and hole–hole (hh) density matrices, and the nuclear force contributes not only in the particle–hole (ph) channel, as in normal ph-RPA, but also in the pp and hh channels. The Hamiltonian is diagonalized iteratively starting from initial guess values and the itera
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Fan, J. D., and Y. M. Malozovsky. "Electron correlation effects beyond the random phase approximation." International Journal of Modern Physics B 30, no. 13 (2016): 1642006. http://dx.doi.org/10.1142/s0217979216420066.

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The methods that have been used to deal with a many-particle system can be basically sorted into three types: Hamiltonian, field theory and phenomenological method. The first two methods are more popular. Traditionally, the Hamiltonian method has been widely adopted in the conventional electronic theory for metals, alloys and semiconductors. Basically, the mean-field approximation (MFA) that has been working well for a weakly coupled system like a metal is employed to simplify a Hamiltonian corresponding to a particular electron system. However, for a strongly coupled many-particle system like
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MARIANO, A. "THE NUMBER SELF-CONSISTENT RENORMALIZED RANDOM PHASE APPROXIMATION." International Journal of Modern Physics B 20, no. 30n31 (2006): 5334–37. http://dx.doi.org/10.1142/s0217979206036442.

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RPA and its quasiparticle generalization (QRPA) have been widely used to study electromagnetic transitions and beta decays in medium and heavy nuclei, being the pn-QRPA charge exchange mode extensively employed in the description of single and double beta decays in vibrational nuclei. However develops a collapse, i.e. it presents imaginary eigen-values for strengths beyond a critical value of the force. Extensions called renormalized QRPA (RQRPA) do not develop any collapse going beyond the simplest quasiboson approximation, however they present several drawbacks which will be analyzed.
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AVDEENKOV, A. V., D. S. KOSOV, and A. I. VDOVIN. "RENORMALIZED RPA AT FINITE TEMPERATURE." Modern Physics Letters A 11, no. 10 (1996): 853–59. http://dx.doi.org/10.1142/s0217732396000850.

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A method taking account of a deviation of state occupation numbers from the thermal RPA prescriptions is elaborated to study collective excitations in hot nuclei. This thermal renormalized random phase approximation (TRRPA) is from Ken-Ji Hara and D.J. Rowe. In developing the TRRPA, a formalism of the thermofield dynamics (TFD) is used. Some numerical results are given for the SU(2) model.
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Dissertations / Theses on the topic "RPA [Approximation phase aléatoire]"

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Perez, Florent. "Plasmons dans un potentiel unidimensionnel : étude par spectroscopie Raman de fils quantiques gravés." Paris 6, 1998. http://www.theses.fr/1998PA066724.

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Rabhi, Aziz. "Approximation des phases aléatoires self-consistante dans l'étude de la superfluidité des systèmes fermioniques." Phd thesis, Université Claude Bernard - Lyon I, 2002. http://tel.archives-ouvertes.fr/tel-00003303.

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L'approximation de la phase aléatoire auto-cohérente (SCRPA) est une méthode qui permet d'inclure dans la théorie de champ moyen des corrélations dans l'état fondamental et les états excités. Elle constitue alors une méthode de type champ moyen pour les fluctuations quantiques. Elle a l'avantage de ne pas violer le principe de Pauli, contrairement à la RPA standard. qui, elle, est basée sur l'approximation dite de quasi-bosons. De plus, la SCRPA peut être formulée à partir d'un principe variationnel.<br> Nous présentons la méthode SCRPA pour la description de la superfluidité dans les systèmes
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Hansen, Hubert. "Méthodes non-perturbatives en théorie quantique des champs : au-delà du champ moyen, l'approximation de la phase aléatoire." Phd thesis, Université Claude Bernard - Lyon I, 2002. http://tel.archives-ouvertes.fr/tel-00003814.

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L'étude de problèmes de physique hadronique dans le cadre de la théorie des champs nécessite l'emploi de méthodes non-perturbatives, les approches perturbatives ne pouvant s'appliquer pour QCD à basse énergie. L'équivalence formelle existant entre la théorie des champs et le problème à N corps nous a conduit à adapter des techniques non-perturbatives usuelles de la théorie du problème à N corps, comme l'approximation de champ moyen (ou approximation gaussienne) et l'approximation de la phase aléatoire (RPA).<br> En se plaçant au-delà du champ moyen où seules sont prises en compte les corrélati
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Mussard, Bastien. "Modélisation quantochimiques des forces de dispersion de London par la méthode des phases aléatoires (RPA) : développements méthodologiques." Thesis, Université de Lorraine, 2013. http://www.theses.fr/2013LORR0292/document.

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Dans cette thèse sont montrés des développements de l'approximation de la phase aléatoire (RPA) dans le contexte de théories à séparation de portée. On présente des travaux sur le formalisme de la RPA en général, et en particulier sur le formalisme "matrice diélectrique" qui est exploré de manière systématique. On montre un résumé d'un travail sur les équations RPA dans le contexte d'orbitales localisées, notamment des développements des orbitales virtuelles localisées que sont les "orbitales oscillantes projetées" (POO). Un programme a été écrit pour calculer des fonctions telles que le trou
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Claudot, Julien. "Développements et applications de méthodes pour la description de l’énergie de corrélation dans les molécules et les solides." Thesis, Université de Lorraine, 2018. http://www.theses.fr/2018LORR0073/document.

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Les fonctionnelles de la densité couramment utilisées ont rencontrées un succès spectaculaire dans la modélisation des systèmes physiques, chimiques, et biologiques. Toutefois, elles se sont avérées inadaptées pour décrire certaines situations, comme par exemple les forces de dispersion de London ou les phénomènes de corrélation forte. Dans le cadre de cette thèse, nous nous sommes intéressés à des développements récents de la formulation de l’énergie de corrélation exprimée à partir du théorème de fluctuation-dissipation et connexion adiabatique, visant à pallier ces problèmes. En particulier
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Sengupta, Niladri. "Going beyond the Random Phase Approximation: A systematic assessment of structural phase transitions and interlayer binding energies." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/513054.

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Physics<br>Ph.D.<br>The Random Phase Approximation and beyond Random Phase Approximation methods based on Adiabatic Connection Fluctuation Dissipation Theorem (ACFD) are tested for structural phase transitions of different groups of materials, including metal to metal, metal to semiconductor, semiconductor to semiconductor transitions. Also the performance assessment of semilocal density functionals with or without empirical long range dispersion corrections has been explored for the same cases. We have investigated the structural phase transitions of three broad group of materials, semi- cond
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Barillier-Pertuisel, Xavier. "Études de systèmes bosoniques et de mélanges boson-fermion à l'aide de l'Approximation des Phases Aléatoires." Paris 11, 2008. http://www.theses.fr/2008PA112371.

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La RPA, historiquement développée pour des fermions, est testée sur un système bosonique modèle, l'oscillateur anharmonique, pour vérifier sa pertinence sur des systèmes bosoniques non triviaux. Elle est ainsi appliquée au modèle de Richardson où des atomes bosoniques placés dans un piège peuvent former des états liés (molécules diatomiques). La RPA est ensuite appliquée à un mélange de boson fermion placé sur réseau optique unidimensionnel modélisé par un système de Bose-Fermi Hubbard. Selon l'intensité de l'interaction boson fermion, apparaît ou disparaît une discontinuité du nombre d'occupa
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Moghrabi, Kassem. "Beyond-mean-field corrections and effective interactions in the nuclear many-body problem." Phd thesis, Paris 11, 2013. http://tel.archives-ouvertes.fr/tel-00908607.

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Mean-field approaches successfully reproduce nuclear bulk properties like masses and radii within the Energy Density Functional (EDF) framework. However, complex correlations are missing in mean-field models and several observables related to single-particle and collective nuclear properties cannot be predicted accurately. The necessity to provide a precise description of the available data as well as reliable predictions in the exotic regions of the nuclear chart motivates the use of more sophisticated beyond-mean-field models. Correlations and higher-order corrections (beyond the leading mea
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Jemai, Mohsen. "Approximation des phases aleatoires self-consistante. Applications a des systemes de fermions fortement correles." Phd thesis, Université Paris Sud - Paris XI, 2004. http://tel.archives-ouvertes.fr/tel-00006530.

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Dans cette thèse nous avons appliqué la RPA auto-consistante (SCRPA) au modéle de Hubbard avec un petit nombre de sites (une chaîne à 2, 4, 6, ... sites). La SCRPA avait précédemment donné de très bon résultats dans d'autres modèles comme le modèle d'appariement de Richardson. Il était donc intéressant de voir quel genre de résultats la méthode allait produire pour un modèle plus complexe comme le modèle de Hubbard. A notre grande satisfaction le cas à 2 sites et deux électrons (demi-remplissage) est résolu exactement par la SCRPA. Ceci peut sembler un peu trivial mais le fait est que d'autres
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Vast, Nathalie. "Etude ab initio des propriétés physiques des matériaux." Habilitation à diriger des recherches, Université Pierre et Marie Curie - Paris VI, 2009. http://tel.archives-ouvertes.fr/tel-00440923.

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Mon activité de recherche fondamentale dans le groupe de théorie du Laboratoire des Solides Irradiés concerne l'étude des propriétés des matériaux d'intérêt pour le CEA, dans les domaines du nucléaire ou de la nanoélectronique. Elle a pour objectif d'atteindre une description théorique -sans paramètre ajustable- des processus contrôlant l'excitation électronique, ainsi que la relaxation -ou désexcitation- électronique, et couvre: - Les propriétés de la matière hors excitation - l'état fondamental; - Les propriétés de l'état excité, abordées sous l'angle de la spectroscopie pour les électrons d
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Books on the topic "RPA [Approximation phase aléatoire]"

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Horing, Norman J. Morgenstern. Random Phase Approximation Plasma Phenomenology, Semiclassical and Hydrodynamic Models; Electrodynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0010.

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Chapter 10 reviews both homogeneous and inhomogeneous quantum plasma dielectric response phenomenology starting with the RPA polarizability ring diagram in terms of thermal Green’s functions, also energy eigenfunctions. The homogeneous dynamic, non-local inverse dielectric screening functions (K) are exhibited for 3D, 2D, and 1D, encompassing the non-local plasmon spectra and static shielding (e.g. Friedel oscillations and Debye-Thomas-Fermi shielding). The role of a quantizing magnetic field in K is reviewed. Analytically simpler models are described: the semiclassical and classical limits an
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Morawetz, Klaus. Approximations for the Selfenergy. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0010.

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The systematic expansion of the selfenergy is presented with the help of the closure relation of chapter 7. Besides Hartree–Fock leading to meanfield kinetic equations, the random phase approximation (RPA) is shown to result into the Lennard–Balescu kinetic equation, and the ladder approximation into the Beth–Uehling–Uhlenbeck kinetic equation. The deficiencies of the ladder approximation are explored compared to the exact T-matrix by missing maximally crossed diagrams. The T-matrix provides the Bethe–Salpeter equation for the two-particle correlation functions. Vertex corrections to the RPA a
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Horing, Norman J. Morgenstern. Non-Equilibrium Green’s Functions: Variational Relations and Approximations for Particle Interactions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0009.

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Chapter 09 Nonequilibrium Green’s functions (NEGF), including coupled-correlated (C) single- and multi-particle Green’s functions, are defined as averages weighted with the time-development operator U(t0+τ,t0). Linear conductivity is exhibited as a two-particle equilibrium Green’s function (Kubo-type formulation). Admitting particle sources (S:η,η+) and non-conservation of number, the non-equilibrium multi-particle Green’s functions are constructed with numbers of creation and annihilation operators that may differ, and they may be derived as variational derivatives with respect to sources η,η
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Book chapters on the topic "RPA [Approximation phase aléatoire]"

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Fai, Lukong Cornelius. "Random Phase Approximation (RPA)." In Quantum Field Theory. CRC Press, 2019. http://dx.doi.org/10.1201/9780429196942-7.

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Schirmer, Jochen. "Random-Phase Approximation (RPA)." In Lecture Notes in Chemistry. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93602-4_15.

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"Random Phase Approximation (RPA)." In Greensche Funktionen in Festkörper- und Vielteilchenphysik. Wiley-VCH Verlag GmbH & Co. KGaA, 2005. http://dx.doi.org/10.1002/3527603387.ch7.

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Boothroyd, Andrew T. "Magnetic Excitations." In Principles of Neutron Scattering from Condensed Matter. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.003.0008.

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In this chapter, the neutron inelastic scattering spectrum is calculated for a variety of magnetic systems. A number of isolated magnetic systems are considered, including single-ion crystal field and intermultiplet excitations, and magnetic clusters. Linear spin-wave theory, a method for calculating the collective spin dynamics in magnetically ordered systems, is outlined and applied to ferromagnets and antiferromagnets both with and without anisptropy. The Random Phase Approximation (RPA) method for the generalized susceptibility is presented and applied to calculate the spectrum of crystal field excitons in praseodymium. The nature of the spin excitations in itinerant magnets is described, and the generalized susceptibility is calculated in the RPA for itinerant electrons with echange correlations. General features of the spin dynamical response in quantum magnets are described, and illustrated by the magnetic spectra of quantum spin chains.
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Conference papers on the topic "RPA [Approximation phase aléatoire]"

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Fiddy, Michael A., Hossein Alisafaee, and Raphael Tsu. "Designing low index metamaterials and the random phase approximation (RPA)." In 2014 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2014. http://dx.doi.org/10.1109/iceaa.2014.6903859.

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