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Second quantization axis

 

Consider CRE-filtered beam. In this note is used only the classical term polarization.

The CRE-filtered beam is always linearly polarized. We are interested how the polarization state changes when the beam passes through one CRE.

The linearly polarized beam is analyzed by BRE-analyzer — whichever birefringent element transmitting only one linearly polarized beam.

First, we fix the BRE-analyzer in position getting the screen dark.

Image image004

After that an arbitrary CRE is situated in front of BRE-analyzer — the screen is illuminated. One or two beams can be observed on the screen depending on the experimental resolution. The resolution is not important for this experiment. (On the figure below the case of one beam is depicted.)

Image image004

By rotation of CRE the intensity on the screen changes. In one complete rotation there is only one position when the screen gets dark. The direction of the stiff attached to CRE Y-axis in the position when the screen gets dark does not depend on the used CRE exemplar. This direction is characteristic of the CRE-filtered beam.

The axis determined by this characteristic direction is defined as photon second quantization axis for the photons of the CRE-filtered beam.

In contrast to the linear polarization axis, the direction of the second quantization axis has physical meaning. The photons of two oppositely oriented second quantization axes are distinguishable. (Note that the uniqueness of the second quantization axis comes from the uniqueness of the CRE Y-axis; The later is provided from the convention for the right handedness of CRE coordinate system.)

 

May 24, 2006
Author: T Kirilov