From gauging nonrelativistic translations to \(N\)-body dynamics
type: Item
instance of: scholarly article
title: From gauging nonrelativistic translations to \(N\)-body dynamics
zbMATH Open document ID: 0981.81064
author: Jerzy Lukierski
author: Peter C. Stichel
author: Wojciech J. Zakrzewski
published in: Annals of Physics
publication date: 2002-03-21T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0007102
reviewed by: Oliviu Gherman
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 83C47
Mathematics Subject Classification ID: 81T20
zbMATH DE Number: 1590736
zbMATH Keywords: continuum of particles
zbMATH Keywords: extragravitational physics
zbMATH Keywords: general relativity
zbMATH Keywords: monodimensional model
zbMATH Keywords: nonlinear Hamiltonian
zbMATH Keywords: fractional momentum eigenvalues
zbMATH Keywords: torsion tensors
MaRDI profile type: Publication
OpenAlex ID: W1999836771
Wikidata QID: Q62579714
arXiv ID: hep-th/0007102
cites work: Gauging of 1D-space translations for nonrelativistic matter -- geometric bags
cites work: Q3322013
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cites work: \(2+1\)-dimensional gravity as an exactly soluble system
cites work: Topology, unitary representations and charged particles
cites work: Role of surface integrals in the Hamiltonian formulation of general relativity
cites work: Quantum mechanics of a point particle in -dimensional gravity
cites work: Q5562752
cites work: Q3259158
DOI: 10.1006/APHY.2000.6120
review text: One of the challenges in modern physics is the continuum of particles: All the efforts made until now in order to solve this problem in the framework of extragravitational physics were unsuccessful. In this paper, the author known as specialists in general relativity, generalize to many dimensions the results obtained in a monodimensional model by one of them (P. C. Stichel) and succeed to build a nonlinear Hamiltonian for a two-body interaction which leads after quantization to a Schrödinger equation with energy dependent fractional momentum eigenvalues.NEWLINENEWLINENEWLINEThe bound states with discrete energy levels correspond to a confined classical motion (for distance between two particles \(r\leq r_0\)) and states that correspond to the classical motion for \(r> r_0\).NEWLINENEWLINENEWLINEThe fields built by the authors can be identified with the torsion tensors of teleparallel formulation of general relativity theory.
description: scientific article; zbMATH DE number 1590736