The thermal ray theory is applied to the expérimental thermal scan on a razor blade. Good magnitude agreemettt is obtained using a far-field ray formula provided correction is made for the Boltzmann blackbody radiation law. The effect of conductivity variation with température is found to be small.

In [Phys. Rev. Lett. 98, 061102 (2007)], we announced the complete integrability of geodesic motion in the general higher-dimensional rotating black-hole spacetimes. In the present paper we prove all the necessary steps leading to this conclusion. In particular, we demonstrate the independence of the constants of motion and the fact that they Poisson commute. The relation to a different set of ...

Article history: Received 23 May 2016 Received in revised form 14 February 2017 Accepted 24 March 2017 Available online 29 March 2017

Using the scattering transform for n order linear scalar operators, the Poisson bracket found by Gel’fand and Dikii, which generalizes the Gardner Poisson bracket for the KdV hierarchy, is computed on the scattering side. Action-angle variables are then constructed. Using this, complete integrability is demonstrated in the strong sense. Real action-angle variables are constructed in the self-ad...