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

Conference · Sat Dec 01 04:00:00 EST 1979 · Hadronic J.; (United States)

OSTI ID:6760598

Santilli, R M

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.

• Research Organization: Harvard Univ., Cambridge, MA
• OSTI ID: 6760598
• Report Number(s): CONF-7908175-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 2:6
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BASIC INTERACTIONS
CLASSICAL MECHANICS
DOCUMENT TYPES
ELEMENTARY PARTICLES
FIELD THEORIES
GEOMETRY
HADRONS
INTERACTIONS
LIE GROUPS
MATHEMATICS
MECHANICS
NUCLEAR PHYSICS
PHYSICS
QUANTUM MECHANICS
RENORMALIZATION
REVIEWS
STATISTICAL MECHANICS
STRONG INTERACTIONS
SYMMETRY BREAKING
SYMMETRY GROUPS
USES