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In this paper we compute quantum trajectories arising from Bohm's causal description of quantum mechanics. Our computational methodology is based upon a finite-element moving least-squares method (MWLS) presented recently by Wyatt and…

Quantum Physics · Physics 2009-11-06 Eric R. Bittner

Effective Lagrangians were originally used only at the tree level as so-called phenomenological Lagrangians since they were in general non-renormalizable. Today they are treated as effective field theories valid below a characteristic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Finn Ravndal

We present a new method to calculate formation of cosmological structure in the Newtonian limit. The method is based on Lagrangian perturbation theory plus two key theoretical extensions. One advance involves identifying and fixing a…

Cosmology and Nongalactic Astrophysics · Physics 2014-12-15 Sharvari Nadkarni-Ghosh , David F. Chernoff

In this paper, we explore a reconstruction scheme in the background of the $f(T,\mathcal{T})$ gravity theory for different cosmological scenarios, where $T$ is the scalar torsion and $\mathcal{T}$ is the trace of the energy-momentum tensor.…

General Relativity and Quantum Cosmology · Physics 2023-10-17 Tuhina Ghorui , Prabir Rudra , Farook Rahaman

Multitask learning (MTL) leverages task-relatedness to enhance performance. With the emergence of multimodal data, tasks can now be referenced by multiple indices. In this paper, we employ high-order tensors, with each mode corresponding to…

Machine Learning · Computer Science 2023-08-31 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Xiaolin Huang , Johan A. K. Suykens

Due to the mass gap between the Standard Model and possible New Physics states, electroweak effective approaches are appropriate. Although a linear realization of the electroweak symmetry breaking with the Higgs forming a doublet together…

High Energy Physics - Phenomenology · Physics 2019-10-07 Ignasi Rosell , Claudius Krause , Antonio Pich , Juan José Sanz-Cillero

Forced variational integrators are given by the discretization of the Lagrange-d'Alembert principle for systems subject to external forces, and have proved useful for numerical simulation studies of complex dynamical systems. In this paper…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Alexandre Anahory Simoes , Asier López-Gordón , Anthony Bloch , Leonardo Colombo

The existence of a mass gap between the Standard Model (SM) and possible new states encourages us to use effective field theories. Here we follow the non-linear realization of the electroweak symmetry breaking: the electroweak effective…

High Energy Physics - Phenomenology · Physics 2021-09-22 Ignasi Rosell , Antonio Pich , Juan José Sanz-Cillero

We study several problems related to the construction and the use of effective Lagrangians by considering an extension of the standard model that includes a heavy scalar singlet coupled to the leptonic doublet. Starting from the full…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mikhail Bilenky , Arcadi Santamaria

We propose a relativistically covariant model of interacting dark energy based on the principle of least action. The cosmological term $\Lambda$ in the gravitational Lagrangian is a function of the trace of the energy--momentum tensor $T$.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikodem J. Poplawski

Under certain assumptions (such as weak exacteness or monotonicity) we show that splitting Lagrangians through cobordism has an energy cost and, from this cost being smaller than certain explicit bounds, we deduce some strong forms of…

Symplectic Geometry · Mathematics 2018-06-19 Paul Biran , Octav Cornea , Egor Shelukhin

Lagrangian modelling can be used to derive mathematical models for complex power electronic converters. This approach uses scalar quantities (kinetic and potential energy) to derive models, which is simpler than using (vector-based) force…

Systems and Control · Electrical Eng. & Systems 2024-09-24 Shakir Showkat Sofi , Mosaib Ul Munieeb , Fazil Bashir , Munieeb Ul Hassan , Shahkar Ahmad Nahvi

A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian. The formalism applies to pure and mixed…

Fluid Dynamics · Physics 2009-11-10 R. Englman , A. Yahalom

We consider the two-brane Randall-Sundrum (RS) model with bulk gauge fields. We carefully match the bulk theory to a 4D low-energy effective Lagrangian. In addition to the four-fermion operators induced by KK exchange we find that large…

High Energy Physics - Phenomenology · Physics 2010-04-06 Csaba Csaki , Joshua Erlich , John Terning

In this manuscript, we consider the extension of the Hilbert-Einstein action to analyze several interesting features of the theory. More specifically, the Lagrangian $f(R)$ is replaced by $f(R, L_m)$ in action, where $R$ is the Ricci…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Lakhan V. Jaybhaye , Sanjay Mandal , P. K. Sahoo

We put forward a user-friendly framework of the truncated Wigner approximation (TWA) for dissipative quantum many-body systems. Our approach is computationally affordable and it features a straightforward implementation. The leverage of the…

Quantum Physics · Physics 2025-09-11 Hossein Hosseinabadi , Oksana Chelpanova , Jamir Marino

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

High Energy Physics - Theory · Physics 2017-03-21 Alexander A. Reshetnyak

A "minimal" generalization of Quantum Mechanics is proposed, where the Lagrangian or the action functional is a mapping from the (classical) states of a system to the Lie algebra of a general compact Lie group, and the wave function takes…

Quantum Physics · Physics 2007-05-23 Yu Tian

Necessary optimality conditions in Lagrangian form and the sequential minimization framework are extended to mixed-integer nonlinear optimization, without any convexity assumptions. Building upon a recently developed notion of local…

Optimization and Control · Mathematics 2026-04-10 Alberto De Marchi

Starting from a precise two-nucleon potential, we use the method of unitary transformations to construct an effective potential that involves only momenta less than a given maximal value. We describe this method for an S-wave potential of…

Nuclear Theory · Physics 2009-10-31 E. Epelbaoum , W. Glöckle , Ulf-G. Meißner