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The article presents and documents the Mathematica package SymBuild. This package implements the computation and manipulation of integrable symbols appearing in various calculations in high-energy scattering amplitudes. By using Gr\"obner…

High Energy Physics - Theory · Physics 2018-11-01 Vladimir Mitev , Yang Zhang

Applications of effective field theory (EFT) and scattering amplitudes to gravitational problems have recently produced many unique results that advanced our understanding of the dynamics of compact binaries. Many of these results were made…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Jovan Markovic , Mikhail M. Ivanov

This document is meant to be a practical introduction to the analytical and numerical manipulation of Fermionic Gaussian systems. Starting from the basics, we move to relevant modern results and techniques, presenting numerical examples and…

Quantum Physics · Physics 2022-05-18 Jacopo Surace , Luca Tagliacozzo

PHAST is a software package written in standard Fortran, with MPI and CUDA extensions, able to efficiently perform parallel multicanonical Monte Carlo simulations of single or multiple heteropolymeric chains, as coarse-grained models for…

Computational Physics · Physics 2017-02-08 Rafael B. Frigori

In this study, we delve into the intricate mathematical frameworks essential for the renormalization of effective elastic models within complex physical systems. By integrating advanced tools such as Laurent series, residue theorem, winding…

General Physics · Physics 2024-09-24 Wen-Xiang Chen

Theoretical calculations Beyond the Standard Model (BSM) constitute a challenge for high energy physicists, but are necessary when searching for New Physics. The predictions of a BSM scenario need to be compared with experimental data and…

High Energy Physics - Phenomenology · Physics 2021-02-23 G. Uhlrich , F. Mahmoudi , A. Arbey

I discuss a formalism for computing quantum scattering amplitudes using a semiclassical expansion of a functional integral representation for the S-matrix. The classical background for the expansion is determined by solving the equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephen D. H. Hsu

We present a Mathematica package AmpRed for the semi-automatic calculations of multi-loop Feynman amplitudes with high efficiency and precision. AmpRed implements the methods of integration by parts and differential equations in the…

High Energy Physics - Phenomenology · Physics 2025-04-14 Wen Chen

We introduce a Markov Chain Monte Carlo (MCMC) algorithm that dramatically accelerates the simulation of quantum many-body systems, a grand challenge in computational science. State-of-the-art methods for these problems are severely limited…

Strongly Correlated Electrons · Physics 2025-10-17 Deqian Kong , Shi Feng , Jianwen Xie , Ying Nian Wu

The cylindrical Taylor Interpolation through FFT (TI-FFT) algorithm for computation of the near-field and far-field in the quasi-cylindrical geometry has been introduced. The modal expansion coefficient of the vector potentials ${\bf F}$…

Signal Processing · Electrical Eng. & Systems 2020-07-06 Shaolin Liao

Forward marginal effects have recently been introduced as a versatile and effective model-agnostic interpretation method particularly suited for non-linear and non-parametric prediction models. They provide comprehensible model explanations…

Machine Learning · Computer Science 2024-09-13 Holger Löwe , Christian A. Scholbeck , Christian Heumann , Bernd Bischl , Giuseppe Casalicchio

We propose and work out a reduced density matrix functional theory (RDMFT) for calculating energies of eigenstates of interacting many-electron systems beyond the ground state. Various obstacles which historically have doomed such an…

Quantum Physics · Physics 2021-07-08 Christian Schilling , Stefano Pittalis

The matrixdist R package provides a comprehensive suite of tools for the statistical analysis of matrix distributions, including phase-type, inhomogeneous phase-type, discrete phase-type, and related multivariate distributions. This paper…

Computation · Statistics 2025-03-11 Martin Bladt , Alaric Mueller , Jorge Yslas

The program package GoSam is presented which aims at the automated calculation of one-loop amplitudes for multi-particle processes. The amplitudes are generated in terms of Feynman diagrams and can be reduced using either D-dimensional…

High Energy Physics - Phenomenology · Physics 2015-06-03 G. Cullen , N. Greiner , G. Heinrich , G. Luisoni , P. Mastrolia , G. Ossola , T. Reiter , F. Tramontano

Quantum mechanical transition amplitudes are calculated within the stochastic quantization scheme for the free nonrelativistic particle, the harmonic oscillator and the nonrelativistic particle in a constant magnetic field; we close with…

High Energy Physics - Theory · Physics 2015-06-26 H. Hüffel , H. Nakazato

We present a major update to QuSpin, SciPostPhys.2.1.003 -- an open-source Python package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and spin many-body systems, supporting the use of various (user-defined)…

Computational Physics · Physics 2019-08-14 Phillip Weinberg , Marin Bukov

We propose a quantum algorithm for finding eigenvalues of non-unitary matrices. We show how to construct, through interactions in a quantum system and projective measurements, a non-Hermitian or non-unitary matrix and obtain its eigenvalues…

Quantum Physics · Physics 2010-12-07 Hefeng Wang , Lian-Ao Wu , Yu-xi Liu , Franco Nori

Establishing the precise computational boundary between classically tractable fermionic systems and those capable of genuine quantum advantage is a central challenge in quantum simulation. While injecting non-Gaussian ``magic" inputs into…

Quantum Physics · Physics 2026-05-13 Changhun Oh , Michał Oszmaniec , Oliver Reardon-Smith , Zoltán Zimborás

Motivated by the interest of observing the growth of cancer cells among normal living cells and exploring how galaxies and stars are truly formed, the objective of this paper is to introduce a rigorous and effective method for counting…

Other Statistics · Statistics 2017-07-31 Charles K. Chui , Hrushikesh N. Mhaskar

We study the SUSY flavor problem in the MSSM, we are namely interested in estimating the size of the SUSY flavor problem and its dependence on the MSSM parameters. For that, we made a numerical analysis randomly generating the entries of…

High Energy Physics - Phenomenology · Physics 2010-02-27 J. L. Diaz-Cruz , O. Felix-Beltran , M. Gomez-Bock , R. Noriega-Papaqui , A. Rosado
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