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Galilei-isotopic symmetries

Technical Report:

Abstract

We construct the most general known classical, nonlinear and nonlocal generalization of the conventional Galilei transformations, as well as the corresponding classical realization of the infinite family of Galilei-isotopic symmetries G-circumflex (3.1) proposed in preceding works, under the condition that they result to be all locally isomorphic to the conventional Galilei symmetry. The symmetries G-circumflex (3.1) are then used to characterize the largest possible class of nonlinear, nonlocal and nonhamiltonian Newtonian systems which still verify the conservation laws of all ten, total, physical quantities, as preparatory grounds for subsequent operator studies for the hadronic structure. The method for the explicit construction of the space-time isosymmetries G-circumflex (3.1) from given Galilei-noninvariant equations of motion is outlined. (author). 11 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/263
Reference Number:
SCA: 662120; PA: AIX-23:015409; SN: 92000647098
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GALILEI TRANSFORMATIONS; SYMMETRY; EQUATIONS OF MOTION; NONLINEAR PROBLEMS; SPACE-TIME; SYMMETRY GROUPS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10113367
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615261; TRN: XA9130261015409
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
14 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Santilli, R M. Galilei-isotopic symmetries. IAEA: N. p., 1991. Web.
Santilli, R M. Galilei-isotopic symmetries. IAEA.
Santilli, R M. 1991. "Galilei-isotopic symmetries." IAEA.
@misc{etde_10113367,
title = {Galilei-isotopic symmetries}
author = {Santilli, R M}
abstractNote = {We construct the most general known classical, nonlinear and nonlocal generalization of the conventional Galilei transformations, as well as the corresponding classical realization of the infinite family of Galilei-isotopic symmetries G-circumflex (3.1) proposed in preceding works, under the condition that they result to be all locally isomorphic to the conventional Galilei symmetry. The symmetries G-circumflex (3.1) are then used to characterize the largest possible class of nonlinear, nonlocal and nonhamiltonian Newtonian systems which still verify the conservation laws of all ten, total, physical quantities, as preparatory grounds for subsequent operator studies for the hadronic structure. The method for the explicit construction of the space-time isosymmetries G-circumflex (3.1) from given Galilei-noninvariant equations of motion is outlined. (author). 11 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}