Gauge degrees of freedom of the LIE-admissible formulation of dynamical systems

Conference · Tue Jun 01 04:00:00 EDT 1982 · Hadronic J.; (United States)

OSTI ID:6372887

Trostel, R

We consider the classical motion of an eleton in viscous hadronic matter under variationally nonselfadjoint forces supposed to be of at most first differential type. By using Santilli's construction of the Lie-admissible algebra associated with the eletonic dynamics, we have found an isotopic degree of freedom induced by the set of gauge transformations originated by the ambiguity of the splitting of the forces into their selfadjoint and nonselfadjoint parts. Therefore, we obtain an equivalence class of Lie-admissible algebras acting on the functions of the phase space enlarged by time. All its representants differ by variationally selfadjoint forces incorporated into the nonselfadjoint force which is the crucial ingredient for constructing Santilli's matrix and from this the Lie-admissible algebra. Taking one representant whose selfadjoint force has been added to the nonselfadjoint force, means that one has tranformed the whole electro-dynamical force into the hadronic interaction force which seems philosophically reasonable. By dealing with systems whose nonselfadjoint forces vanish identically, we also obtain an equivalence class of Lie-admissible algebras incorporating a certain part of the given selfadjoint force ito Santilli's matrix. Evidentily, there is one representant of this class of Lie-admissible algebras which is identical Lie itself. Taking other representants of this equivalence class would give us new examples of Lie-admissible algebras already at the conventional electrodynamical level.

• Research Organization: Institut fuer Theoretische Physik, Berlin, Germany
• OSTI ID: 6372887
• Report Number(s): CONF-820136-
• Conference Information: Journal Name: Hadronic J.; (United States) Journal Volume: 5:4
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BASIC INTERACTIONS
ELEMENTARY PARTICLES
GAUGE INVARIANCE
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICS
MATTER
NUCLEAR MATTER
PARTICLE INTERACTIONS
POSTULATED PARTICLES
STRONG INTERACTIONS
SYMMETRY GROUPS
TRANSFORMATIONS