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The work presents a proof of convergence of the density of energy levels to a Gaussian distribution for a wide class of quadratic forms of Fermi operators. This general result applies also to quadratic operators with disorder, e.g.,…

数学物理 · 物理学 2017-06-28 Fabio Deelan Cunden , Anna Maltsev , Francesco Mezzadri

In this letter, we demonstrate that a non-Hermitian Random Matrix description can account for both spectral and spatial statistics of resonance states in a weakly open chaotic wave system with continuously distributed losses. More…

统计力学 · 物理学 2010-11-18 Charles Poli , Olivier Legrand , Fabrice Mortessagne

We present a plausible mechanism for the origin of the $XYZ$ mesons in the heavy meson spectra within a standard quark-model picture. We discuss the conditions required for the existence of four--quark bound states or resonances…

高能物理 - 唯象学 · 物理学 2015-07-30 J. Vijande , A. Valcarce

In this article, we study the vector meson transitions among the charmonium and bottomonium states with the heavy quark effective theory in an systematic way, and make predictions for the ratios among the vector meson decay widths of a…

高能物理 - 唯象学 · 物理学 2015-05-27 Zhi-Gang Wang

We propose a generalization of the random matrix theory following the basic prescription of the recently suggested concept of superstatistics. Spectral characteristics of systems with mixed regular-chaotic dynamics are expressed as weighted…

统计力学 · 物理学 2007-05-23 A. Y. Abul-Magd

Spectral statistics of quantum systems have been studied in detail using the nearest neighbour level spacings, which for generic chaotic systems follows random matrix theory predictions. In this work, the probability density of the closest…

混沌动力学 · 物理学 2019-01-23 Shashi C. L. Srivastava , Arul Lakshminarayan , Steven Tomsovic , Arnd Bäcker

We review the ideas of how random matrix theory has to be properly applied to quantum physics; particularly we focus on how the spectrum has to be properly prepared and the random matrix correctly identified before the random matrix and the…

量子物理 · 物理学 2026-04-28 Mario Kieburg

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…

可精确求解与可积系统 · 物理学 2011-09-27 A. A. Abul-Magd , A. Y. Abul-Magd

In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parametrized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian…

统计力学 · 物理学 2007-05-23 John Evans , Fredrick Michael

Broad meson phenomenology in vacuum is discussed in a single model containing scalar, pseudoscalar, vector and axial-vector states both in the non-strange and strange sectors. Emphasis is given to search for quark-antiquark (quarkonium)…

高能物理 - 唯象学 · 物理学 2012-08-02 Denis Parganlija

We study the statistics of level spacing of geometric resonances in the disordered binary networks. For a definite concentration $p$ within the interval $[0.2,0.7]$, numerical calculations indicate that the unfolded level spacing…

软凝聚态物质 · 物理学 2007-05-23 Y. Gu , K. W. Yu , Z. R. Yang

The nearest neighbour level spacing distribution and the $\Delta_3$ statistics of level fluctuations associated with very high spin states ($I \gesim 30$) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The…

核理论 · 物理学 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , S. Åberg

We show that the density of states of random wave equations, normalized by the square of the frequency, has a peak - sometimes narrow and sometimes broad - in the range of wave vectors between the disorder correlation length and the…

无序系统与神经网络 · 物理学 2009-11-10 V. Gurarie , A. Altland

We have found the Quasi Normal Mode (QNM) frequencies of a class of static spherically symmetric spacetimes having a {\it {smeared}} matter distribution, parameterized by $\Theta$ - an inherent length scale. Here our main focus is on the…

高能物理 - 理论 · 物理学 2019-02-06 Kumar Das , Souvik Pramanik , Subir Ghosh

We consider scenarios where the dynamics of a quantum system are partially determined by prior local measurements of some interacting environmental degrees of freedom. The resulting effective system dynamics are described by a disordered…

量子物理 · 物理学 2024-05-06 Šárka Blahnik , Sarah Shandera

One of the most intriguing puzzles in hadron spectroscopy are the numerous charmonium-like states observed in the last decade, including charged states that are manifestly exotic. The $BABAR$ and Belle experiments have extensively studied…

高能物理 - 实验 · 物理学 2014-11-05 Elisabetta Prencipe

A number of charmonium-(bottmonium-)like states have been observed in $B$-factory experiments. Recently the BESIII experiment has joined this search with a unique data sample collected at the different center of mass energies ranging from…

高能物理 - 实验 · 物理学 2015-06-19 Sookyung Choi

In this work, we study the charmonium(-like) spectrum below 4.1 GeV using the diabatic approach, which offers a unified description of conventional and unconventional heavy meson states. Compared to previous studies, we consider a more…

高能物理 - 唯象学 · 物理学 2025-04-17 Zi-Zhao Zhang , Rong Li , Bo-Chao Liu

We revise the role played by symmetry in the study of the low-lying baryon spectrum and comment on the difficulties when trying to generalize the symmetry pattern to higher energy states. We show that for the $(N,\Delta)$ part such a…

高能物理 - 唯象学 · 物理学 2008-11-26 P. Gonzalez , J. Vijande , A. Valcarce , H. Garcilazo

Using operator methods, we generally present the level densities for kinds of random matrix unitary ensembles in weak sense. As a corollary, the limit spectral distributions of random matrices from Gaussian, Laguerre and Jacobi unitary…

数学物理 · 物理学 2007-05-23 Zhengdong Wang , Kuihua Yan