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A path-integral approach is used to study the spectral properties of the generators of the SO(2,1) symmetry of conformal quantum mechanics (CQM). In particular, we consider the CQM version that corresponds to the weak-coupling regime of the…

Quantum Physics · Physics 2023-12-07 H. E. Camblong , A. Chakraborty , P. Lopez-Duque , C. R. Ordóñez

The Helmholtz equation arises in many applications, such as seismic and medical imaging. These application are characterized by the need to propagate many wavelengths through an inhomogeneous medium. The typical size of the problems in 3D…

Numerical Analysis · Mathematics 2013-09-23 Tristan van Leeuwen

We examine a simple Composite Higgs Model (CHM) with vector resonances in addition to the Standard Model (SM) fields in perturbation theory by using the $K$-matrix method to implement unitarity constraints. We find that the $W_LW_L$…

High Energy Physics - Phenomenology · Physics 2015-05-27 D. Barducci , H. Cai , S. De Curtis , F. J. Llanes-Estrada , S. Moretti

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

Physics based emulators offer a fast and reliable replacement for an exact solution of the scattering problem in nuclear physics. Previous work developed a reduced-basis emulator for single-channel elastic scattering using an optical…

A block-correlated coupled cluster (BCCC) method based on the generalized valence bond (GVB) wave function (GVB-BCCC in short) is proposed and implemented at the ab initio level, which represents an attractive multireference electronic…

Chemical Physics · Physics 2023-03-16 Qingchun Wang , Mingzhou Duan , Enhua Xu , Jingxiang Zou , Shuhua Li

The Gaussian Process Convolution Model (GPCM; Tobar et al., 2015a) is a model for signals with complex spectral structure. A significant limitation of the GPCM is that it assumes a rapidly decaying spectrum: it can only model smooth…

Machine Learning · Statistics 2022-04-15 Wessel P. Bruinsma , Martin Tegnér , Richard E. Turner

Due to its attractive properties, generalized frequency division multiplexing (GFDM) is recently being discussed as a candidate waveform for the fifth generation of wireless communication systems (5G). GFDM is introduced as a generalized…

Information Theory · Computer Science 2016-04-20 Arman Farhang , Nicola Marchetti , Linda E. Doyle

To model the propagation of large water waves and associated loads applied to offshore structures, scientists and engineers have a need of fast and accurate models. A wide range of models have been developped in order to predict wave-fields…

Computational Physics · Physics 2018-05-10 Fabien Robaux , Michel Benoit

This paper studies the coordinated beamforming (CoBF) design for the multiple-input single-output interference channel, provided that only channel distribution information is known to the transmitters. The problem under consideration is a…

Information Theory · Computer Science 2023-07-19 Wei-Chiang Li , Tsung-Hui Chang , Chong-Yung Chi

We apply the coupled cluster method (CCM) in order to study the ground-state properties of the (unfrustrated) square-lattice and (frustrated) triangular-lattice spin-half Heisenberg antiferromagnets in the presence of external magnetic…

Strongly Correlated Electrons · Physics 2010-04-14 D. J. J. Farnell , R. Zinke , J. Richter , J. Schulenburg

We apply a variational method devised for the nuclear many--body problem to the 1-dimensional Hubbard--model with nearest neighbor hopping and periodic boundary conditions. The test wave function consist for each state out of a single…

Strongly Correlated Electrons · Physics 2008-11-26 K. W. Schmid , T. Dahm , J. Margueron , H. Müther

A novel method for extracting threshold voltage and substrate effect parameters of MOSFETs with constant current bias at all levels of inversion is presented. This generalized constant-current (GCC) method exploits the charge-based model of…

Applied Physics · Physics 2020-09-02 Matthias Bucher , Nikolaos Makris , Loukas Chevas

Many real world categories are multimodal, with single classes occupying disjoint regions in feature space. Classical linear models (logistic regression, linear SVM) use a single global hyperplane and perform poorly on such data, while…

Machine Learning · Computer Science 2025-09-23 Prasanth K K , Shubham Sharma

This paper introduces Roundabout Constrained Convex Generators (RCGs), a set representation framework for modeling multiply connected regions in control and verification applications. The RCG representation extends the constrained convex…

Optimization and Control · Mathematics 2025-11-11 Peng Xie , Sabin Diaconescu , Florin Stoican , Amr Alanwar

A general quantum many-body theory in configuration space is developed by extending the traditional coupled cluter method (CCM) to a variational formalism. Two independent sets of distribution functions are introduced to evaluate the…

Strongly Correlated Electrons · Physics 2009-11-07 Y. Xian

A major concern in modern power systems is that the popularity and fluctuating characteristics of renewable energy may cause more and more transmission congestion events. Traditional congestion management modeling involves AC or DC power…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Shutong Pu , Guangchun Ruan , Xinfei Yan , Haiwang Zhong

The development of multireference coupled cluster (MRCC) techniques has remained an open area of study in electronic structure theory for decades due to the inherent complexity of expressing a multi-configurational wavefunction in the…

Chemical Physics · Physics 2023-05-24 Maria-Andreea Filip , Alex J. W. Thom

A high order wavelet integral collocation method (WICM) is developed for general nonlinear boundary value problems in physics. This method is established based on Coiflet approximation of multiple integrals of interval bounded functions…

Numerical Analysis · Mathematics 2017-04-26 Lei Zhang , Jizeng Wang , Xiaojing Liu , Youhe Zhou

Fast and highly accurate method based on the Muller contour integral equations and a trigonometric-trigonometric Galerkin discretization technique is presented for spectral design and fine-tuning of clusters of whispering-gallery (WG) mode…

Optics · Physics 2007-05-23 Svetlana V. Boriskina