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We examine the ground state properties of the s=1/2 transverse Ising chain with regularly alternating bonds and fields using exact analytical results and exact numerical data for long (up to N=900) and short (N=20) chains. For a given…

Condensed Matter · Physics 2009-11-07 Oleg Derzhko , Johannes Richter , Taras Krokhmalskii , Oles' Zaburannyi

In this paper we analyze the predictions of the forward approximation in some models which exhibit an Anderson (single-) or many-body localized phase. This approximation, which consists in summing over the amplitudes of only the shortest…

Disordered Systems and Neural Networks · Physics 2016-02-10 Francesca Pietracaprina , Valentina Ros , Antonello Scardicchio

We investigate the effect of assisted hopping in the Anderson impurity model. We use the flow equation method, which, by means of unitary transformations, generates a sequence of Hamiltonians in order to eliminate the assisted hopping…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 T. Stauber , F. Guinea

A collaborative study by Brookhaven-McMaster-Central Michigan is underway to evaluate B(E2)$\uparrow$ for 0$^{+}_{1}$ $\rightarrow$ 2$^{+}_{1}$ transitions. This work is a continuation of a previous USNDP evaluation and has been motivated…

Nuclear Theory · Physics 2014-07-09 B. Pritychenko , M. Birch , M. Horoi , B. Singh

We conclude our investigations on the QCD cross-over transition temperatures with 2+1 staggered flavours and one-link stout improvement. We extend our previous two studies [Phys. Lett. B643 (2006) 46, JHEP 0906:088 (2009)] by choosing even…

High Energy Physics - Lattice · Physics 2010-11-19 Szabolcs Borsanyi , Zoltan Fodor , Christian Hoelbling , Sandor D. Katz , Stefan Krieg , Claudia Ratti , Kalman K. Szabo

Reply to the comment by L. Kofman, A. Linde and A.A. Starobinsky (hep-ph/9608341) to our article ``Analytic and Numerical Study of Preheating Dynamics'' (hep-ph/9608205).

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

In the past few years considerable progress has been made in Monte Carlo simulations of first-order phase transitions and in the analysis of the resulting finite-size data. In this paper special emphasis will be placed on multicanonical…

High Energy Physics - Lattice · Physics 2007-05-23 Wolfhard Janke

The purpose of this article is to give a preliminary clarification on the relation between crossing number and crossing change. With a main focus on the span of X polynomial, we prove that, as our theorem claims, the crossing number of the…

Geometric Topology · Mathematics 2011-03-25 Longting Wu , Shuting Shao , Shan Liu , Fengchun Lei

The book "Continuous-Time Markov Chains" by W. J. Anderson collects a large part of the development in the past thirty years. It is now a popular reference for the researchers on this subject or related fields. Unfortunately, due to a…

Probability · Mathematics 2015-01-22 Mu-Fa Chen

This note addresses the continuum problem, taking advantage of the breakthrough mentioned in the subtitle, and relating it to many recent advances occurring in set theory.

Logic · Mathematics 2023-05-18 Matteo Viale

This update to my article on Congruent numbers, elliptic curves, and the passage from the local to the global, which appeared in Resonance, December 2009, pp. 1183--1205 (https://www.ias.ac.in/describe/article/reso/014/12/1183-1205) and was…

Number Theory · Mathematics 2022-02-09 Chandan Singh Dalawat

In this paper one presents the extension of the transient analysis of the class of continuous-time birth and death processes defined on non-negative integers with special transitions from and to the origin. From the origin transitions can…

An account is given of the development, and the status, of the modified dynamics (MOND)--a proposed alternative to dark matter, which posits a breakdown of Newtonian dynamics in the limit of small accelerations.

Astrophysics · Physics 2007-05-23 Mordehai Milgrom

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results…

Strongly Correlated Electrons · Physics 2009-10-31 D. Meyer , T. Wegner , M. Potthoff , W. Nolting

In terms of Sear's transformation formula for $_4\phi_3$-series, we give new proofs of a summation formula for ${_4\phi_3}$-series due to Andrews [2] and another summation formula for${_4\phi_3}$-series conjectured in the same paper.…

Combinatorics · Mathematics 2013-09-17 Chuanan Wei , Xiaoxia Wang

We report a numerical analysis of the Anderson transition in a quantum-chaotic system, the quasiperiodic kicked rotor with three incommensurate frequencies. It is shown that this dynamical system exhibits the same critical phenomena as the…

Disordered Systems and Neural Networks · Physics 2011-02-24 G. Lemarié , B. Grémaud , D. Delande

After briefly reviewing work I've done recently with Krishna Rajagopal on the nature of the equilibrium phase transition in QCD at finite temperature and zero baryon number and on the possibility of forming misaligned vacuum by a quench, I…

High Energy Physics - Phenomenology · Physics 2009-10-22 Frank Wilczek

We present an improved method to compute the radiative momentum transfer in the Pioneer 10 & 11 spacecraft that takes into account both diffusive and specular reflection. The method allows for more reliable results regarding the thermal…

Space Physics · Physics 2017-04-05 F. Francisco , O. Bertolami , P. J. S. Gil , J. Páramos

We investigate the possibility of an Anderson transition below two dimensions in disordered systems of non-interacting electrons with symplectic symmetry. Numerical analysis of energy level statistics and conductance statistics on…

Disordered Systems and Neural Networks · Physics 2009-11-11 Yoichi Asada , Keith Slevin , Tomi Ohtsuki

My previous calculations of the Lamb shift in muonic hydrogen are reviewed and compared with other work. In addition, numerical results for muonic deuterium are presented.

Atomic Physics · Physics 2007-05-23 E. Borie