Statistical and strict momentum conservation

Approximate Momentum Conservation for

Learning about Momentum Conservation

A system has been designed in which explanation-based learning is applied to classical mechanics. An overview of the fully-implemented system and an example run by it are presented. From the example the system acquires a general formula describing how the momentum of a collection of objects changes over time. The derivation of this formula is prompted by the analysis of a human's solution to a ...

Position measurements obeying momentum conservation.

We present a hitherto unknown fundamental limitation to a basic measurement: that of the position of a quantum object when the total momentum of the object and apparatus is conserved. This result extends the famous Wigner-Araki-Yanase theorem, and shows that accurate position measurements are only practically feasible if there is a large momentum uncertainty in the apparatus.

On momentum conservation and thermionic emission cooling

Energy-Momentum Conservation and Holographic S-Matrix

We investigate the consequence of the energy-momentum conservation law for the holographic S-matrix from AdS/CFT correspondence. It is shown that the conservation law is not a natural consequence of conformal invariance in the large N limit. We predict a new singularity for the four point correlation function of a marginal operator. Only the two point scattering amplitude is explicitly calculat...