Conservation of Momentum and Angular Momentum in Relativistic Classical Particle Mechanics

1968 ◽  
Vol 167 (5) ◽  
pp. 1178-1179 ◽  
Author(s):  
D. G. Currie ◽  
T. F. Jordan
Keyword(s):  
Angular Momentum ◽  
Classical Particle ◽  
Particle Mechanics ◽  
Conservation Of Momentum

scholarly journals Axiomatic Foundations of Classical Particle Mechanics

1953 ◽  
Vol 2 (2) ◽  
pp. 253-272 ◽  
Author(s):  
J. McKinsey ◽  
A. Sugar ◽  
Patrick Suppes
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

Hamiltonians in Relativistic Classical Particle Mechanics

1968 ◽  
Vol 166 (5) ◽  
pp. 1308-1316 ◽  
Author(s):  
Thomas F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

AN ACTION PRINCIPLE FOR MAGNETOHYDRODYNAMICS

1963 ◽  
Vol 41 (12) ◽  
pp. 2241-2251 ◽  
Author(s):  
M. G. Calkin
Keyword(s):  
Electromagnetic Field ◽  
Angular Momentum ◽  
Magnetic Induction ◽  
Vector Potential ◽  
Fluid Velocity ◽  
Equations Of Motion ◽  
Center Of Mass ◽  
Action Principle ◽  
Invariance Properties ◽  
Conservation Of Momentum

The equations of motion of an inviscid, infinitely conducting fluid in an electromagnetic field are transformed into a form suitable for an action principle. An action principle from which these equations may be derived is found. The conservation laws follow from invariance properties of the action. The space–time invariances lead to the conservation of momentum, energy, angular momentum, and center of mass, while the gauge invariances lead to conservation of mass, a generalization of the Helmholtz vortex theorem of hydrodyanmics, and the conservation of the volume integrals of A∙B and v∙B, where A is the vector potential, B is the magnetic induction, and v is the fluid velocity.

Constructing Examples in Relativistic Classical Particle Mechanics

1972 ◽  
Vol 13 (6) ◽  
pp. 868-871 ◽  
Author(s):  
C. S. Shukre ◽  
T. F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics
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