The Moral Reality of War: Defensive Force and Just War Theory

The permissible use of defensive force is a central tenet of the traditional legal and philosophical justification for war and its practice. Just War Theory holds a nation’s right to resist aggressive attack with defensive force as the clearest example of a just cause for war. Just War Theory also stipulates norms for warfare derived from a conception of defensive force asserted to be consistent with the moral reality of war. Recently, these aspects of Just War Theory have been criticized. David Rodin has challenged the status of national defense as an uncontroversial just cause. Jeff McMahan has charged that Just War Theory’s norms that govern warfare are inconsistent with the norms of permissive defensive force. In this thesis I defend the status of national defense as a clear case of a just cause. However, my defense may require revision of Just War Theory’s norms that govern warfare

Sum rule of the correlation function

We discuss a sum rule satisfied by the correlation function of two particles with small relative momenta. The sum rule, which results from the completeness condition of the quantum states of the two particles, is first derived and then we check how it works in practice. The sum rule is shown to be trivially satisfied by free particle pair, and then there are considered three different systems of interacting particles. We discuss a pair of neutron and proton in the s-wave approximation and the case of the so-called hard spheres with the phase shifts taken into account up to l=4. Finally, the Coulomb system of two charged particles is analyzed.Comment: 18 pages, 18 figures, revised, to appear in Phys. Rev.

The wave energy flux of high frequency diffracting beams in complex geometrical optics

We consider the construction of asymptotic solutions of Maxwell's equations for a diffracting wave beam in the high frequency limit and address the description of the wave energy flux transported by the beam. With this aim, the complex eikonal method is applied. That is a generalization of the standard geometrical optics method in which the phase function is assumed to be complex valued, with the non-negative imaginary part accounting for the finite width of the beam cross section. In this framework, we propose an argument which simplifies significantly the analysis of the transport equation for the wave field amplitude and allows us to derive the wave energy flux. The theoretical analysis is illustrated numerically for the case of electron cyclotron beams in tokamak plasmas by using the GRAY code [D. Farina, Fusion Sci. Technol. 52, 154 (2007)], which is based upon the complex eikonal theory. The results are compared to those of the paraxial beam tracing code TORBEAM [E. Poli et al., Comput. Phys. Commun. 136, 90 (2001)], which provides an independent calculation of the energy flow