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The relation of the Wigner function with the fair probability distribution called tomographic distribution or quantum tomogram associated with the quantum state is reviewed. The connection of the tomographic picture of quantum mechanics…

Quantum Physics · Physics 2015-06-19 Margarita A. Man'ko , Vladimir I. Man'ko

The relativistic mean field approach (RMF) is well known for describing accurately binding energies and nucleon distributions in atomic nuclei throughout the nuclear chart. The random phase approximation (RPA) built on top of the RMF is…

Nuclear Theory · Physics 2008-11-26 Nguyen Van Giai , Haozhao Liang , Jie Meng

Linearizing the appropriate kinetic equation we derive general response functions including selfconsistent mean fields or density functionals and collisional dissipative contributions. The latter ones are considered in relaxation time…

Nuclear Theory · Physics 2008-12-18 Klaus Morawetz , Uwe Fuhrmann

Lately we have been tackling the problem of describing nuclear collective excitations starting from correlated realistic nucleon-nucleon (NN) interactions. The latter are constructed within the Unitary Correlation Operator Method (UCOM),…

Nuclear Theory · Physics 2007-09-21 P. Papakonstantinou , R. Roth

We apply the renormalized singles with correlation (RSc) Green's function in the $GW$ approximation to calculate accurate quasiparticle (QP) energies and orbitals. The RSc Green's function includes all orders of singles contributions from…

Chemical Physics · Physics 2022-10-19 Jiachen Li , Weitao Yang

A generalized RPA formalism is presented which treats pp and ph correlations on an equal footing. The effect of these correlations on the single-particle Green function is discussed and it is demonstrated that a self-consistent treatment of…

Nuclear Theory · Physics 2009-10-28 E. Heinz , H. M"uther , H. A. Mavromatis

We generalize normal mode expansion of Green's tensor $\bar{\bar{G}}(\bf{r},\bf{r}')$ to lossy resonators in open systems, resolving a longstanding open challenge. We obtain a simple yet robust formulation, whereby radiation of energy to…

Optics · Physics 2019-04-10 Parry Y. Chen , David J. Bergman , Yonatan Sivan

Multidimensional spectroscopy unveils the interplay of nuclear and electronic dynamics, which characterizes the ultrafast dynamics of various molecular and solid-state systems. In a class of models widely used for the simulation of such…

Quantum Physics · Physics 2023-08-28 Frank Ernesto Quintela Rodriguez , Filippo Troiani

In order to account for competition and interplay of localized and itinerant magnetic behaviour in correlated many body systems with complex spectra the various types of spin-fermion models have been considered in the context of the…

Strongly Correlated Electrons · Physics 2009-11-07 A. L. Kuzemsky

Within the $\sigma-\omega$ model of coupled nucleon-meson systems, a generalized relativistic Lenard--Balescu--equation is presented resulting from a relativistic random phase approximation (RRPA). This provides a systematic derivation of…

Nuclear Theory · Physics 2007-05-23 Klaus Morawetz , Dietrich Kremp

We consider here a model previously introduced to describe the collective behavior of an ensemble of cold atoms interacting with a coherent electromagnetic field. The atomic motion along the self-generated spatially-periodic force field can…

Optics · Physics 2009-11-13 J. Javaloyes , M. Perrin , A. Politi

We study the RPA equations in their most general form by taking the matrix elements appearing in the RPA equations as random. This yields either a unitarily or an orthogonally invariant random-matrix model which is not of the Cartan type.…

Nuclear Theory · Physics 2009-08-05 X. Barillier-Pertuisel , O. Bohigas , H. A. Weidenmueller

The entanglement and coherence of the wobbling mode are studied in the framework of the particle plus triaxial rotor model for the one-quasiparticle nucleus $^{135}$Pr and the two-quasiparticles nucleus $^{130}$Ba. The focus lies on the…

Nuclear Theory · Physics 2024-10-14 Q. B. Chen , S. Frauendorf

Intense terahertz-frequency pulses induce coherent rotational dynamics and orientation of polar molecular ensembles. Exact numerical methods for rotational dynamics are computationally not feasible for the vast majority of molecular rotors…

Quantum Physics · Physics 2015-10-14 Shimshon Kallush , Sharly Fleischer

Mixing single and triple fermions an exact killing operator of the Coupled Cluster Doubles (CCD) wave function with good symmetry was found in \cite{Tohy13}. Using these operators with the equation of motion (EOM) method the so-called…

Nuclear Theory · Physics 2020-10-26 Mohsen Jemaï , Peter Schuck

Systems composed of interacting self-propelled particles (SPPs) display different forms of order-disorder phase transitions relevant to collective motion. In this paper we propose a generalization of the Vicsek model characterized by an…

Adaptation and Self-Organizing Systems · Physics 2021-04-14 Pau Clusella , Romualdo Pastor-Satorras

We present a theoretical and numerical study of the correlation between electrons and the fermionic $^{13}$C and $^{19}$F nuclei. We use the random-phase approximation (RPA) as a valuable tool in obtaining these correlation energies. A…

Chemical Physics · Physics 2026-04-29 Janina Vohdin , Christof Holzer

Near-field radiative heat transfer (NFRHT) between irregularly shaped dielectric particles made of SiO2 and morphology characterized by Gaussian random spheres is studied. Particles are modeled using the discrete system Green's function…

Applied Physics · Physics 2023-01-16 Lindsay P. Walter , Eric J. Tervo , Mathieu Francoeur

Modeling non-stationary processes, where statistical properties vary across the input domain, is a critical challenge in machine learning; yet most scalable methods rely on a simplifying assumption of stationarity. This forces a difficult…

Machine Learning · Computer Science 2026-02-03 Sawan Kumar , Souvik Chakraborty

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps