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The energy spectrum of two 0-branes for fixed angular momentum in 2+1 dimensions is calculated by the Rayleigh-Ritz method. The basis function used for each angular momentum consists of 80 eigenstates of the harmonic oscillator problem on the corresponding space. It is seen that the spectrum exhibits a definite linear Regge trajectory behavior. It is argued how this behavior supports the picture by which the bound-states of quarks and QCD-strings are governed by the quantum mechanics of matrix coordinates.

Details

1009240
Subject
Quantum theory;
Basis functions;
Branes;
Angular momentum;
Quantum chromodynamics;
Rayleigh-Ritz method;
Harmonic oscillators;
Strings;
Trajectories;
Quantum mechanics;
Energy spectra;
Eigenvectors
URL
http://arxiv.org/abs/1506.02961
Title
Regge Trajectories by 0-Brane Matrix Dynamics
Author
Fatollahi, Amir H
Publication title
arXiv.org; Ithaca
Publication year
2016
Publication date
Jan 8, 2016
Section
High Energy Physics - Phenomenology; High Energy Physics - Theory; Quantum Physics
Publisher
Cornell University Library, arXiv.org
Source
arXiv.org
Place of publication
Ithaca
Country of publication
United States
University/institution
Cornell University Library arXiv.org
Publication subject
Biology, Statistics, Physics, Mathematics, Engineering--Electrical Engineering, Computers--Computer Engineering, Business And Economics--Banking And Finance
e-ISSN
2331-8422
Source type
Working Paper
Language of publication
English
Document type
Working Paper
Publication history
 
 
Online publication date
2016-01-11
Milestone dates
2015-02-13 (Submission v1); 2016-01-08 (Submission v2)
Publication history
 
 
   First posting date
11 Jan 2016
DOI
https://doi.org/10.7546/giq-17-2016-231-242
ProQuest document ID
2078305731
Document URL
https://www.proquest.com/working-papers/regge-trajectories-0-brane-matrix-dynamics/docview/2078305731/se-2?accountid=208611
Full text outside of ProQuest
http://arxiv.org/abs/1506.02961
Copyright
© 2016. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2019-04-13
Database
ProQuest One Academic