# Closed systems with nonconservative internal forces

## Abstract

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, thatmore »

- Authors:

- (Univ. of Orleans, France)

- Publication Date:

- OSTI Identifier:
- 6759025

- Alternate Identifier(s):
- OSTI ID: 6759025

- Report Number(s):
- CONF-7908175-

Journal ID: CODEN: HAJOD

- DOE Contract Number:
- AC02-78ER04742

- Resource Type:
- Conference

- Resource Relation:
- Journal Name: Hadronic J.; (United States); Journal Volume: 3:1; Conference: 2. workshop on Lie-admissible formulations, Cambridge, MA, USA, 1 Aug 1979

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 74 ATOMIC AND MOLECULAR PHYSICS; ATOMIC MODELS; LIE GROUPS; HADRONS; PARTICLE MODELS; CLASSICAL MECHANICS; CONSERVATION LAWS; POTENTIALS; ELEMENTARY PARTICLES; MATHEMATICAL MODELS; MECHANICS; SYMMETRY GROUPS 658000* -- Mathematical Physics-- (-1987); 645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory; 640305 -- Atomic, Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)

### Citation Formats

```
Tellez-Arenas, A., Fronteau, J., and Santilli, R.M.
```*Closed systems with nonconservative internal forces*. United States: N. p., 1979.
Web.

```
Tellez-Arenas, A., Fronteau, J., & Santilli, R.M.
```*Closed systems with nonconservative internal forces*. United States.

```
Tellez-Arenas, A., Fronteau, J., and Santilli, R.M. Sat .
"Closed systems with nonconservative internal forces". United States.
doi:.
```

```
@article{osti_6759025,
```

title = {Closed systems with nonconservative internal forces},

author = {Tellez-Arenas, A. and Fronteau, J. and Santilli, R.M.},

abstractNote = {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.},

doi = {},

journal = {Hadronic J.; (United States)},

number = ,

volume = 3:1,

place = {United States},

year = {Sat Dec 01 00:00:00 EST 1979},

month = {Sat Dec 01 00:00:00 EST 1979}

}