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The statistical distribution of levels of an integrable system is claimed to be a Poisson distribution. In this paper, we numerically generate an ensemble of N dimensional random diagonal matrices as a model for regular systems. We evaluate…

Exactly Solvable and Integrable Systems · Physics 2011-09-27 A. A. Abul-Magd , A. Y. Abul-Magd

R-mode oscillations of rotating neutron stars are promising candidates for continuous gravitational wave (GW) observations. The r-mode frequencies for slowly rotating Newtonian stars are well-known and independent of the equation of state…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Suprovo Ghosh , Dhruv Pathak , Debarati Chatterjee

Using an explicitly isospin-dependent parametric Equation of State (EOS) for the core of neutron stars (NSs) within the Bayesian statistical approach, we infer the EOS parameters of super-dense neutron-rich nuclear matter from three sets of…

High Energy Astrophysical Phenomena · Physics 2020-08-07 Wen-Jie Xie , Bao-An Li

The problem of extracting information on new and known $N^{*}$ resonances by fitting isobar models to photonuclear data is addressed. A new fitting strategy, incorporating a genetic algorithm, is outlined. As an example, the method is…

Nuclear Theory · Physics 2009-11-10 D. G. Ireland , S. Janssen , J. Ryckebusch

We investigate the spontaneous parity-time (PT )-symmetry breaking and spectral properties of a PT symmetric quantum kicked rotor under resonance conditions. At resonance, the QKR reduces to a finite-dimensional system. In the localized…

Quantum Physics · Physics 2025-04-10 Guang Li , Fuxing Chen , Ping Fang

We present a comprehensive evaluation of the robustness and explainability of ResNet-like models in the context of Unintended Radiated Emission (URE) classification and suggest a new approach leveraging Neural Stochastic Differential…

Machine Learning · Computer Science 2023-09-28 Sumit Kumar Jha , Susmit Jha , Rickard Ewetz , Alvaro Velasquez

The random matrix ensembles (RME), especially Gaussian RME and Ginibre RME, are applied to nuclear systems, molecular systems, and two-dimensional electron systems (Wigner-Dyson electrostatic analogy). Measures of quantum chaos and quantum…

Statistical Mechanics · Physics 2007-05-23 Maciej M. Duras

The tidal deformability probability distribution extracted from GW170817 alone, or including multi-messenger information, is confronted to astrophysical and nuclear physics additional constraints within a semi-agnostic approach for the…

Nuclear Theory · Physics 2020-07-31 H. Güven , K. Bozkurt , E. Khan , J. Margueron

We study an ensemble of random matrices (the Rosenzweig-Porter model) which, in contrast to the standard Gaussian ensemble, is not invariant under changes of basis. We show that a rather complete understanding of its level correlations can…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Alexander Altland , Martin Janssen , Boris Shapiro

Realistic nuclear level densities (NLDs) obtained within the spectral distribution method (SDM) are employed to study nuclear processes of astrophysical interest. The merit of SDM lies in the fact that the NLDs corresponding to many body…

Nuclear Theory · Physics 2022-05-04 Sangeeta , T. Ghosh , B. Maheshwari , G. Saxena , B. K. Agrawal

This work analyzes the RAID dataset to evaluate human responses to affine image distortions, including rotation, translation, scaling, and Gaussian noise. Using Mean Squared Error (MSE), the study establishes human detection thresholds for…

The two leading twist, quark helicity conserving generalized parton distributions (GPDs) of 3He, accessible, for example, in coherent deeply virtual Compton scattering (DVCS), are calculated in impulse approximation (IA). Their sum, at low…

Nuclear Theory · Physics 2013-03-18 Matteo Rinaldi , Sergio Scopetta

In this note we explore the chaotic behavior of non-integrable QFTs and compare them to integrable ones. We choose as prototypes the double sine-Gordon and the sine-Gordon models. We analyze their discrete spectrum determined by a…

High Energy Physics - Theory · Physics 2026-01-28 Jacob Sonnenschein , Nadav Shrayer

The radius $R_{1.4}$ of neutron stars (NSs) with a mass of 1.4 M$_{\odot}$ has been extracted consistently in many recent studies in the literature. Using representative $R_{1.4}$ data, we infer high-density nuclear symmetry energy…

High Energy Astrophysical Phenomena · Physics 2019-10-04 Wen-Jie Xie , Bao-An Li

What effect do particle-emitting resonances have on the scattering cross section? What physical considerations are necessary when modelling these resonances? These questions are important when theoretically describing scattering experiments…

This is a cursory overview of applications of concepts from random matrix theory (RMT) to quantum electronics and classical & quantum optics. The emphasis is on phenomena, predicted or explained by RMT, that have actually been observed in…

Mesoscale and Nanoscale Physics · Physics 2011-09-06 C. W. J. Beenakker

An ensemble of 2 x 2 pseudo-Hermitian random matrices is constructed that possesses real eigenvalues with level-spacing distribution exactly as for the Gaussian Unitary Ensemble found by Wigner. By a re-interpretation of Connes' spectral…

Quantum Physics · Physics 2007-05-23 Zafar Ahmed , Sudhir R. Jain

Several spectral fluctuation measures of random matrix theory (RMT) have been applied in the study of spectral properties of networks. However, the calculation of those statistics requires performing an unfolding procedure, which may not be…

Disordered Systems and Neural Networks · Physics 2019-11-14 G. Torres-Vargas , R. Fossion , J. A. Méndez-Bermúdez

We perform a direct finite nucleus calculation of the partial width of a bound Delta isobar decaying through the non-mesonic decay mode, Delta N -> NN. This transition is modeled by the exchange of the long ranged pi meson and the shorter…

Nuclear Theory · Physics 2008-11-26 C. Chumillas , A. Parreno , A. Ramos

Neutron Resonance Transmission Analysis (NRTA) is a spectroscopic technique which uses the resonant absorption of neutrons in the epithermal range to infer the isotopic composition of an object. This spectroscopic technique has relevance in…

Instrumentation and Detectors · Physics 2021-05-19 Ethan A. Klein , Farheen Naqvi , Jacob E. Bickus , Hin Y. Lee , Robert J. Goldston , Areg Danagoulian
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