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Theoretical predictions need quantified uncertainties for a meaningful comparison to experimental results. This is an idea which presently permeates the field of theoretical nuclear physics. In light of the recent progress in estimating…

Nuclear Theory · Physics 2017-03-15 B. D. Carlsson

Quantum particles and classical particles are described in a common setting of classical statistical physics. The property of a particle being "classical" or "quantum" ceases to be a basic conceptual difference. The dynamics differs,…

Quantum Physics · Physics 2015-05-13 C. Wetterich

We derive an equation for the current of particles in energy space; particles are subject to a mean field effective potential that may represent quantum effects. From the assumption that non-interacting particles imply a free diffusion…

Statistical Mechanics · Physics 2017-01-04 Miguel Hoyuelos , Pablo Sisterna

Over the past two decades, the rapid surge in data-intensive computational techniques for statistical modeling may have had the effect of diminishing the use of applied mathematics in causal scientific inquiry. In this paper, co-authored by…

History and Philosophy of Physics · Physics 2026-05-13 Marzieh Asgari-Targhi , Amene Asgari-Targhi , Mahboubeh Asgari-Targhi , Edward J. , Hall

For a system to qualify as a quantum fluid, quantum-statistical effects should operate in addition to quantum-mechanical ones. Here, we address the hitherto unexplored dynamical condition for the quantum-statistical effects to be…

Quantum Physics · Physics 2023-03-21 Alessio Zaccone , Kostya Trachenko

In the framework of the Gibbs statistical theory, the question of the size of the particles forming the statistical system is investigated. This task is relevant for a wide variety of applications. The distribution for particle sizes and…

Statistical Mechanics · Physics 2017-11-23 V. V. Ryazanov

One of the most severe limitations in particle accelerators and beam transport are non-linear effects. Techniques to study and possibly suppress some of these detrimental effects exist, the most popular are based on particle tracking and…

Accelerator Physics · Physics 2020-06-17 Werner Herr

The possibilities of unlike particle correlations for a study of the space-time asymmetries in particle production, including the sequence of particle emission, are demonstrated.

Nuclear Theory · Physics 2007-05-23 R. Lednicky

We present recent BABAR results on searches for dark photons, long-lived scalar particles and new pi0-like particles.

High Energy Physics - Experiment · Physics 2019-08-13 Gerald Eigen

The statistical physics approach to the number partioning problem, a classical NP-hard problem, is both simple and rewarding. Very basic notions and methods from statistical mechanics are enough to obtain analytical results for the phase…

Condensed Matter · Physics 2007-05-23 Stephan Mertens

The growing need for a better understanding of nonlinear processes in plasma physics has in the last decades stimulated the development of new and more advanced data analysis techniques. This review lists some of the basic properties one…

comp-gas · Physics 2008-02-03 T. Dudok de Wit

Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of…

Quantum Physics · Physics 2009-11-07 Y. Omar , N. Paunkovic , S. Bose , V. Vedral

We relate the Fermi-Dirac statistics of an ideal Fermi gas in a harmonic trap to partitions of given integers into distinct parts, studied in number theory. Using methods of quantum statistical physics we derive analytic expressions for…

Quantum Physics · Physics 2009-11-11 A. Kubasiak , J. Korbicz , J. Zakrzewski , M. Lewenstein

These three lectures provide an introduction to the main concepts of statistical data analysis useful for precision measurements and searches for new signals in High Energy Physics. The frequentist and Bayesian approaches to probability…

Data Analysis, Statistics and Probability · Physics 2019-02-06 Luca Lista

Current problems in particle physics are reviewed from the viewpoint of theories possessing extra spatial dimensions.

High Energy Physics - Phenomenology · Physics 2011-09-13 Ferruccio Feruglio

The particle filter is a popular Bayesian filtering algorithm for use in cases where the state-space model is nonlinear and/or the random terms (initial state or noises) are non-Gaussian distributed. We study the behavior of the error in…

Computation · Statistics 2019-03-29 Ziyu Liu , Shihong Wei , James C. Spall

In this article, the notion of a mathematical model in science is attempted to be enlightened from several points of view. In particular, it is shown that mathematical models are introduced differently and used differently in different…

History and Overview · Mathematics 2022-05-25 Inge S. Helland

Numerical simulations have become an important tool to understand and predict non-perturbative phenomena in particle physics. In this article we attempt to present a general overview over the field. First, the basic concepts of lattice…

High Energy Physics - Lattice · Physics 2010-12-17 F. Karsch , E. Laermann

The statistical models used to derive the results of experimental analyses are of incredible scientific value and are essential information for analysis preservation and reuse. In this paper, we make the scientific case for systematically…

A new class of identical particles which may exhibit both Bose and Fermi statistics with respective probabilities $p_b$ and $p_f$ is introduced. Such an uncertainity may be either an intrinsic property of a particle or can be viewed as an…

Statistical Mechanics · Physics 2011-08-17 M. V. Medvedev