Nonlocal generalized angularmomentum balance laws and equations of motion
Abstract
It is shown how systems of nonlocal (i.e., integrodifferential) linear secondorder equations of motion (LSIDEs) can be directly related to associated nonlocal angularmomentum complexes as well as to balance laws corresponding to such complexes. This gives one the freedom to obtain balance laws from given LSIDEs or vice versa. These laws will, as usual, augment the equations of motion as further useful information about the physical system. Under certain conditions one then sees how the balance laws reduce to corresponding conservations laws. Two examples, sketched to indicate how the formalism can be applied, come from continuum mechanics and quantum mechanics for physical systems described by nonlocal interactions. A third example is from quantum field theory for the case of local interactions for particles of arbitrary integral spin in general, and for electromagnetism in particular. The formalism can thus be applied to physical systems whose equations of motion may be relativistic and either classical or quantum mechanical.
 Publication:

International Journal of Engineering Science
 Pub Date:
 October 1992
 Bibcode:
 1992IJES...30.1417G
 Keywords:

 Angular Momentum;
 Conservation Laws;
 Electromagnetic Fields;
 Equations Of Motion;
 Field Theory (Physics);
 Formalism;
 Quantum Theory;
 Physics (General)