Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Closed systems with nonconservative internal forces

Conference · · Hadronic J.; (United States)
OSTI ID:6759025
In this paper we identify the current state of the art for the construction of a closed system of interacting particles, that is, a system which, when isolated, verifies the conservation laws of the total energy, linear momentum, and angular momentum, as well as the uniform motion of the center of mass. The conventional approach via conservative forces is recalled, and its significance for the atomic structure is indicated. Jointly, we recall a generalization of these closed conservative systems proposed by one of us as a possible structure model of hadrons for extended constituents under mutual state of penetration of the wave packets. It consists of a closed system with variationally nonselfadjoint internal forces, that is, forces that are derivable as well as nonderivable from a potential. The original proposal in which the total conservation laws are imposed as subsidiary constraints is reviewed and analyzed in detail. In addition we discuss a statistical model of closed nonselfadjoint systems in which the total conservation laws are recovered at the asymptotic limit of large values of times. Even though our analysis is only classical, it confirms the achievement of the capability to represent closed systems as they actually occur in nature, that is, with unrestricted internal forces. It is expected that these systems can be consistently quantized via the Lie-admissible techniques, yielding a new, broader, approach to the structure of hadrons which deserves further studies.
DOE Contract Number:
AC02-78ER04742
OSTI ID:
6759025
Report Number(s):
CONF-7908175-
Conference Information:
Journal Name: Hadronic J.; (United States) Journal Volume: 3:1
Country of Publication:
United States
Language:
English