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In this paper we consider a singular wave equation with distributional and more singular non-distributional coefficients and develop tools and techniques for the phase-space analysis of such problems. In particular we provide a detailed…

Analysis of PDEs · Mathematics 2021-03-02 Mohammed ElAmine Sebih , Jens Wirth

The influence of short-range correlations on the spectral distribution of neutrons is incorporated in the solution of the gap equation for the ${}^3P_2-{}^3F_2$ coupled channel in pure neutron matter. This effect is studied for different…

Nuclear Theory · Physics 2015-02-20 D. Ding , S. J. Witte , W. H. Dickhoff , H. Dussan , A. Rios , A. Polls

It is well known that in a two-slit interference experiment, acquiring which-path information about the particle, leads to a degrading of the interference. It is argued that path-information has a meaning only when one can umabiguously tell…

Quantum Physics · Physics 2018-08-24 Keerthy K. Menon , Tabish Qureshi

We define and study the properties of channels which are analogous to unital qubit channels in several ways. A full treatment can be given only when the dimension d is a prime power, in which case each of the (d+1) mutually unbiased bases…

Quantum Physics · Physics 2009-11-13 M. Nathanson , M. B. Ruskai

We study the dynamics of diffusion processes acting on directed multiplex networks, i.e., coupled multilayer networks where at least one layer consists of a directed graph. We reveal that directed multiplex networks may exhibit a faster…

Physics and Society · Physics 2018-09-26 Alejandro Tejedor , Anthony Longjas , Efi Foufoula-Georgiou , Tryphon Georgiou , Yamir Moreno

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

Statistical Mechanics · Physics 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

We have devised a general scheme that provides exact results for the scaling dimensions of all allowed in multi-channel Luttinger Liquids local perturbations. The technique developed provides universal description and establishes relations…

Strongly Correlated Electrons · Physics 2015-06-16 Igor V. Yurkevich

By adjusting the tunnelling couplings over longer than nearest neighbor distances it is possible in discrete lattice models to reproduce the properties of the lowest energy band of a real, continuous periodic potential. We propose to…

Other Condensed Matter · Physics 2007-08-20 Rune Piil , Klaus Molmer

In this paper, we study the multiplicative behaviour of quantum channels, mathematically described by trace preserving, completely positive maps on matrix algebras. It turns out that the multiplicative domain of a unital quantum channel has…

Quantum Physics · Physics 2017-07-04 Mizanur Rahaman

The experimentally measured multiplicity distributions exhibit, after closer inspection, peculiarly enhanced void probability and oscillatory behavior of the modified combinants. We show that both these features can be used as additional…

High Energy Physics - Phenomenology · Physics 2019-09-05 M. Rybczynski , Z. Wlodarczyk , G. Wilk

Analytical expressions for the width and conductance peak distributions of irregularly shaped quantum dots in the Coulomb blockade regime are presented in the limits of conserved and broken time-reversal symmetry. The results are obtained…

Condensed Matter · Physics 2009-10-28 Y. Alhassid , C. H. Lewenkopf

We address the problem of infrared singularities in the perturbation theory for disordered interacting systems in $d\leq 2$. We show that a typical, sufficiently large interacting system exhibits a linear instability in the spin triplet…

Disordered Systems and Neural Networks · Physics 2009-10-30 Anton Andreev , Alex Kamenev

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

The multiplicity distribution of particles in relativistic gases is studied in terms of Tsallis' nonextensive statistics. For an entropic index q>1 the multiplicity distribution is wider than the Poisson distribution with the same average…

Statistical Mechanics · Physics 2007-05-23 C. E. Aguiar , T. Kodama

A three-parameter discrete distribution is developed to describe the multiplicity distributions observed in total- and limited phase space volumes in different collision processes. The probability law is obtained by the Poisson transform of…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Hegyi

Wave-particle duality is certainly one of the most curious concepts of contemporary physics, which ascribes mutually exclusive behaviors to quantum systems that cannot be observed simultaneously. In the context of two-path interferometers,…

The probability distribution of the total transmission is studied for waves multiple scattered from a random, static configuration of scatterers. A theoretical study of the second and third cumulant of this distribution is presented. Within…

Condensed Matter · Physics 2009-10-22 M. C. W. van Rossum , Johannes F. de Boer , Th. M. Nieuwenhuizen

We study the behavior of a point particle incident from the left on a slab of a randomly diluted triangular array of circular scatterers. Various scattering properties, such as the reflection and transmission probabilities and the…

Statistical Mechanics · Physics 2009-11-07 Hernan Larralde , Francois Leyvraz , Gustavo Martinez-Mekler , Raul Rechtman , Stefano Ruffo

We consider unitary conjugation channels with continuous random phases. The spectral properties of the channel average are examined, thereby the asymptotic behaviors of the repeated quantum interactions of the motion are derived. We then…

Quantum Physics · Physics 2014-12-02 Chaobin Liu

We discuss the derivation and properties of the general representation of partial wave amplitudes in the context of improving the models currently used in analysis of three particle Dalitz distributions.

High Energy Physics - Phenomenology · Physics 2015-10-05 Adam P. Szczepaniak