Classical phase-space integral in the statistical model with angular-momentum conservation

1965 ◽  
Vol 40 (1) ◽  
pp. 134-139 ◽  
Author(s):  
A. Kotański ◽  
K. Zalewski
Keyword(s):  
Angular Momentum ◽  
Phase Space ◽  
Statistical Model ◽  
Momentum Conservation ◽  
Angular Momentum Conservation ◽  
Classical Phase Space ◽  
Phase Space Integral

Conservation laws

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Dynamical System ◽  
Angular Momentum ◽  
Conservation Laws ◽  
Total Energy ◽  
Superposition Principle ◽  
Momentum Conservation ◽  
Conserved Quantities ◽  
Angular Momentum Conservation ◽  
Third Law ◽  
The Law

This chapter defines the conserved quantities associated with an isolated dynamical system, that is, the quantities which remain constant during the motion of the system. The law of momentum conservation follows directly from Newton’s third law. The superposition principle for forces allows Newton’s law of motion for a body Pa acted on by other bodies Pa′ in an inertial Cartesian frame S. The law of angular momentum conservation holds if the forces acting on the elements of the system depend only on the separation of the elements. Finally, the conservation of total energy requires in addition that the forces be derivable from a potential.

Sign in / Sign up

Export Citation Format

Share Document