THE ANGULAR MOMENTUM LAWS

Dynamical horizons: energy, angular momentum, fluxes, and balance laws.

Dynamical horizons are considered in full, nonlinear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local, the energy flux is positive, and change in the horizon area is related to these fluxes. The flux formulas also give rise to balance laws analogous to the ones obtained by Bondi and Sachs...

Angular Momentum and Conservation Laws in Classical Electrodynamics

In analogy with mechanics the concepts of field momentum and field angular momentum can be introduced in electrodynamics through conservation laws. In this thesis some fundamental properties of the electromagnetic field angular momentum are treated. This includes the connection to sources, conservation laws and the separation of total angular momentum into a spin and an orbital part. In 1957 Ze...

Symmetries and Conservation Laws: Energy, Momentum and Angular Momentum Physics 6010, Fall 2010 Symmetries and Conservation Laws: Energy, Momentum and Angular Momentum Relevant Sections in Text: §2.6, 2.7 Symmetries and Conservation Laws

By a conservation law we mean a quantity constructed from the coordinates, velocities, accelerations, etc. of the system that does not change as the system evolves in time. When the equations of motion are second order, conservation laws typically arise as functions on the velocity phase (possibly with explicit time dependence). Conservation of energy, momentum and angular momentum are familiar...

Angular Momentum

SWKB for the Angular Momentum

It has been recently shown [M. Robnik and L. Salasnich, J. Phys. A: Math. Gen., 30, 1719 (1997)] that the WKB series for the quantization of angular momentum L converges to the exact value L = h̄l(l + 1), if summed over all orders, and gives the Langer formula L = h̄(l + 1/2) at the leading order. In this work we solve the eigenvalue problem of the angular momentum operator by using the supersymm...