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Title: Status of the mathematical and physical studies on the Lie-admissible formulations on July 1979, with particular reference to the strong interactions

Abstract

The first part of the paper presents a reveiw of the mathematical studies on Lie-admissible algebras conducted (a) via the theory of abstract algebras; (b) via a Lie-admissible generalization of Lie's theory, and (c) via a symplectic-admissible generalization of the symplectic geometry. The second part presents a review of the physical applications in: Newtonian mechanics; classical field theory; classical statistical mechanics; quantum mechanics; quantum field theory; and quantum statistical mechanics; with specific applications, such as: Bose-expansion theory in nuclear physics; renormalization theory; broken unitary symmetries for the classification of hadrons; etc. In the third part a number of open physical and mathematical problems are outlined.

Authors:
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA
OSTI Identifier:
6760598
Alternate Identifier(s):
OSTI ID: 6760598
Report Number(s):
CONF-7908175-
Journal ID: CODEN: HAJOD
Resource Type:
Conference
Resource Relation:
Journal Name: Hadronic J.; (United States); Journal Volume: 2:6; Conference: 2. workshop on Lie-admissible formulations, Cambridge, MA, USA, 1 Aug 1979
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIE GROUPS; ALGEBRA; STRONG INTERACTIONS; CLASSICAL MECHANICS; FIELD THEORIES; GEOMETRY; HADRONS; NUCLEAR PHYSICS; QUANTUM MECHANICS; RENORMALIZATION; REVIEWS; STATISTICAL MECHANICS; SYMMETRY BREAKING; USES; BASIC INTERACTIONS; DOCUMENT TYPES; ELEMENTARY PARTICLES; INTERACTIONS; MATHEMATICS; MECHANICS; PHYSICS; SYMMETRY GROUPS 645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties; 658000 -- Mathematical Physics-- (-1987); 645400 -- High Energy Physics-- Field Theory; 657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics

Citation Formats

Santilli, R.M.. Status of the mathematical and physical studies on the Lie-admissible formulations on July 1979, with particular reference to the strong interactions. United States: N. p., 1979. Web.
Santilli, R.M.. Status of the mathematical and physical studies on the Lie-admissible formulations on July 1979, with particular reference to the strong interactions. United States.
Santilli, R.M.. Sat . "Status of the mathematical and physical studies on the Lie-admissible formulations on July 1979, with particular reference to the strong interactions". United States. doi:.
@article{osti_6760598,
title = {Status of the mathematical and physical studies on the Lie-admissible formulations on July 1979, with particular reference to the strong interactions},
author = {Santilli, R.M.},
abstractNote = {The first part of the paper presents a reveiw of the mathematical studies on Lie-admissible algebras conducted (a) via the theory of abstract algebras; (b) via a Lie-admissible generalization of Lie's theory, and (c) via a symplectic-admissible generalization of the symplectic geometry. The second part presents a review of the physical applications in: Newtonian mechanics; classical field theory; classical statistical mechanics; quantum mechanics; quantum field theory; and quantum statistical mechanics; with specific applications, such as: Bose-expansion theory in nuclear physics; renormalization theory; broken unitary symmetries for the classification of hadrons; etc. In the third part a number of open physical and mathematical problems are outlined.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 2:6,
place = {United States},
year = {Sat Dec 01 00:00:00 EST 1979},
month = {Sat Dec 01 00:00:00 EST 1979}
}

Conference:
Other availability
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