Translational Inertial Spin Effect with Photons
Abstract
The Borgnis technique is used to solve the Maxwell equations under the following conditions: (a) Complex field strengths are used such that H=+/iE, that is, circularly polarized waves of positive or negative helicity; (b) there is only harmonic time dependence through a factor exp(iWt), that is, a pure energy state of the photons; (c) there is no z dependence, that is, no k_{z} component of the photons' momentum; (c) there is no restriction on the x, y dependence of the solutions. It is then shown that the S_{z} component of the Poynting vector obeys the formula +/2WS_{z}=∂_{x}S_{y} ∂_{y}S_{x} and is in general nonzero. This fact, together with the postulated nullity of k_{z}, is the expression of the "translational inertial spin effect." An experiment using the limiting case of total reflection is proposed to test the effect. A discussion of gaugedependent expressions of the effect, using potentials, is also given, in connection with de Broglie's formulas for the current and spindensity 4vectors of the photon waves.
 Publication:

Physical Review
 Pub Date:
 September 1965
 DOI:
 10.1103/PhysRev.139.B1443
 Bibcode:
 1965PhRv..139.1443D