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arXiv:0705.2365v2[gr-qc]25Oct2007 THE ISSUE OF PHOTONS IN DIELECTRICS
 

Summary: arXiv:0705.2365v2[gr-qc]25Oct2007
THE ISSUE OF PHOTONS IN DIELECTRICS:
HAMILTONIAN VIEWPOINT
S. ANTOCI AND L. MIHICH
Abstract. The definition of the photon in the vacuum of general rela-
tivity provided by Kermack et al. and by Synge is extended to nondis-
persive, nonhomogeneous, isotropic dielectrics in arbitrary motion by
Hamiltonian methods that rely on Gordon's effective metric. By these
methods the old dilemma, whether the momentum-energy vector of the
photon in dielectrics is timelike or spacelike in character, is shown to
reappear under a novel guise.
1. Introduction
Despite a widespread conviction, the concept of photon in vacuo does not
pertain exclusively to quantum physics. Classical general relativity has its
say on the subject, as it was beautifully shown long ago by Kermack et
al. [1] and by Synge [2]. By availing of Hamiltonian methods, and of the
reduction to the vacuum case of the geometrical optics of dielectrics operated
by Gordon [3] and by Pham Mau Quan [4], the problem of the definition of
the photon in dielectrics is considered anew in the present paper.
The abstract formulation [5] of Hamilton's theory of rays and waves is

  

Source: Antoci, Salvatore - Dipartimento di Fisica, Universita' di Pavia

 

Collections: Physics