1202.3275 (A. Ibort et al.)

On the tomographic description of classical fields    [PDF]

A. Ibort, A. Lopez-Yela, V. I. Man'ko, G. Marmo, A. Simoni, E. C. G. Sudarshan, F. Ventriglia

After a general description of the tomographic picture for classical systems,
a tomographic description of free classical scalar fields is proposed both in a
finite cavity and the continuum. The tomographic description is constructed in
analogy with the classical tomographic picture of an ensemble of harmonic
oscillators. The tomograms of a number of relevant states such as the canonical
distribution, the classical counterpart of quantum coherent states and a new
family of so called Gauss--Laguerre states, are discussed. Finally the
Liouville equation for field states is described in the tomographic picture
offering an alternative description of the dynamics of the system that can be
extended naturally to other fields.

View original: http://arxiv.org/abs/1202.3275