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Neutron stars or pulsars are very rapidly rotating compact stars with extremely high density. One of the unsolved long-standing problems of these enigmatic celestial bodies is the origin of pulsars' glitches, i.e., the sudden rapid…

High Energy Astrophysical Phenomena · Physics 2020-10-20 Giacomo Marmorini , Shigehiro Yasui , Muneto Nitta

A non-perturbative random-matrix theory is applied to the transmission of a monochromatic scalar wave through a disordered waveguide. The probability distributions of the transmittances T_{mn} and T_n=\sum_m T_{mn} of an incident mode n are…

Condensed Matter · Physics 2007-05-23 S. A. van Langen , P. W. Brouwer , C. W. J. Beenakker

In this paper, the general radar measurement probfilems of determining range, Doppler frequency and scatteringproperties parameters are investigated from the viewpoint of Shannons information theory. We adopt the mutual information to…

Signal Processing · Electrical Eng. & Systems 2020-11-02 Chao Shi , Dazhuan Xu , Ying Zhou , Weilin Tu

We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic symmetric double wells. The theory is based on…

chao-dyn · Physics 2009-01-23 Stephen C. Creagh , Niall D. Whelan

We present an exact solution to the one-dimensional (1-D) scattering-from-a-barrier problem for an incident neutron described by a wave packet. As an aid to presenting our approach, we spend some time on a basic review of how wave packets…

Quantum Physics · Physics 2018-11-16 N. F. Berk

The traditional class of elliptical distributions is extended to allow for asymmetries. A completely robust dispersion matrix estimator (the `spectral estimator') for the new class of `generalized elliptical distributions' is presented. It…

Physics and Society · Physics 2007-05-23 Gabriel Frahm , Uwe Jaekel

A novel method is proposed for detecting changes in the covariance structure of moderate dimensional time series. This non-linear test statistic has a number of useful properties. Most importantly, it is independent of the underlying…

Methodology · Statistics 2021-08-18 Sean Ryan , Rebecca Killick

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

Propagation losses in micro-ring resonator waveguides can be determined from the shape of individual resonances in their transmission spectrum. The losses are typically extracted by fitting these resonances to an idealized model that is…

Optics · Physics 2017-05-02 Orad Reshef , Michael G. Moebius , Eric Mazur

We develop a scattering-matrix formalism to numerically study the resonant scattering of light on generic assemblies of atoms. Protocols to eliminate the artifacts of the method and extract physical information from the numerical data are…

Atomic Physics · Physics 2011-10-04 Francesco Bariani , Davide Sarchi , Iacopo Carusotto

We consider the random matrix obtained by picking vectors randomly from a large collection of mutually unbiased bases of $\mathbb{C}^n$, and prove that the spectral distribution converges to the Marchenko-Pastur law. This shows that vectors…

Probability · Mathematics 2020-03-27 Chin Hei Chan , Maosheng Xiong

Measurements of the lifetime of neutrons trapped in a bottle have been consistently shorter than the lifetime measured in neutron beam experiments. With trapping potentials as low as 50 neV and neutron detectors located only at the top of…

High Energy Physics - Phenomenology · Physics 2021-02-24 Surjeet Rajendran , Harikrishnan Ramani

We derive the neutrino oscillation probability in vacuum using scattering theory methods developed earlier in the context of collider physics. It is computed from Feynman diagrams that combine neutrino production and detection processes…

High Energy Physics - Phenomenology · Physics 2025-05-29 Ilian Dobrev , Kirill Melnikov , Thomas Schwetz

Terrestrial matter effects in neutrino propagation are T-invariant, so that any observed T violation when neutrinos pass through the Earth, such as an asymmetry between the transition probabilities P(nu_mu -> nu_e) and P(nu_e -> nu_mu),…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. F. Harrison , W. G. Scott

All results of the neutron lifetime measurements performed in the last 20 years with the UCN storage method are in a good agreement. These results are consistent with the latest most accurate measurements of the neutron decay asymmetry…

Nuclear Experiment · Physics 2021-04-21 A. P. Serebrov , M. E. Chaikovskii , G. N. Klyushnikov , O. M. Zherebtsov , A. V. Chechkin

A calculation of deuteron Compton scattering using non-relativistic perturbation theory is presented,with the primary motivation of investigating the feasibility of determining the neutron polarizabilities from this type of experiment. This…

Nuclear Theory · Physics 2009-10-31 Jonathan J. Karakowski , Gerald A. Miller

We review the random matrix theory describing elastic scattering through zero-dimensional ballistic cavities (having chaotic classical dynamics) and quasi-one dimensional disordered systems. In zero dimension, general symmetry…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jean-Louis Pichard

We have determined the spins J of resonances in the 147Sm(n,gamma) reaction by measuring multiplicities of gamma-ray cascades following neutron capture. Using this technique, we were able to determine J values for all but 14 of the 140…

Among the different dynamical processes that take place in polymers, methyl group rotation is perhaps the simplest one, since all the relevant interactions on the methyl group can be condensed in an effective mean-field one-dimensional…

Soft Condensed Matter · Physics 2007-05-23 Juan Colmenero , Angel J. Moreno , Angel Alegria

A universal numerical method is developed for the investigation of magnetic neutron scattering. By applying the pseudospectral-time-domain (PSTD) algorithm to the spinor version of the Schr\"odinger equation, the evolution of the spin-state…

Quantum Physics · Physics 2024-12-31 Kun Chen
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