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Closed systems with nonhamiltonian internal forces

Abstract

In a preceding paper, we have treated the inequivalence between the exterior (local, potential and selfadjoint) problem, and the interior (nonlocal, nonhamiltonian and nonselfadjoint) problem. In this note, we treat their compatibility via the notion of closed nonselfadjoint systems, i.e. systems which verify all conventional total conservation laws when isolated from the rest of the Universe; yet their interior structure is nonlinear, nonlocal and nonhamiltonian. The generalized analytic, algebraic and geometrical formulations needed for their treatment are identified, jointly with their direct universality for the case of nonlinear and nonhamiltonian internal forces in local approximation. This allows the technical identification of the open problems for subsequent consideration. (author). 13 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/259
Reference Number:
SCA: 661100; PA: AIX-23:023428; SN: 92000682171
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MECHANICS; CONSERVATION LAWS; GALILEI TRANSFORMATIONS; GEOMETRY; HAMILTONIANS; LIE GROUPS; NONLINEAR PROBLEMS; SYMMETRY; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10126070
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92619234; TRN: XA9230556023428
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
16 p.
Announcement Date:
Jul 04, 2005

Citation Formats

Santilli, R M. Closed systems with nonhamiltonian internal forces. IAEA: N. p., 1991. Web.
Santilli, R M. Closed systems with nonhamiltonian internal forces. IAEA.
Santilli, R M. 1991. "Closed systems with nonhamiltonian internal forces." IAEA.
@misc{etde_10126070,
title = {Closed systems with nonhamiltonian internal forces}
author = {Santilli, R M}
abstractNote = {In a preceding paper, we have treated the inequivalence between the exterior (local, potential and selfadjoint) problem, and the interior (nonlocal, nonhamiltonian and nonselfadjoint) problem. In this note, we treat their compatibility via the notion of closed nonselfadjoint systems, i.e. systems which verify all conventional total conservation laws when isolated from the rest of the Universe; yet their interior structure is nonlinear, nonlocal and nonhamiltonian. The generalized analytic, algebraic and geometrical formulations needed for their treatment are identified, jointly with their direct universality for the case of nonlinear and nonhamiltonian internal forces in local approximation. This allows the technical identification of the open problems for subsequent consideration. (author). 13 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}