How Does Reflection Affect Photon Phase Shift in Quantum Experiments?

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The discussion centers on the phase shift of photons when reflected by mirrors in quantum experiments, specifically referencing Roger Penrose's double-slit experiment. It clarifies that the pi/2 phase shift experienced by photons upon reflection is solely due to the physical properties of the mirror, not the change in direction of the beam. The phase shift remains consistent regardless of the angle of incidence, as it is determined by the boundary conditions of electromagnetic waves at reflective surfaces. Additionally, there is an inquiry into how Quantum Electrodynamics (QED) explains light reflection at the photon and electron level. The conversation emphasizes the fundamental principles of classical electromagnetism in understanding these phenomena.
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I read about one version of the double-slit experiment that uses a light beam from a laser and a combination of fully-silvered and half-silvered mirrors.

The author, Roger Penrose, describes one part of the experimental apparatus in which a light beam from a laser, traveling “north”, encounters a fully-silvered mirror at a 45 degree angle to the beam and is reflected “east”. He said that the wave function for those photons from the laser had to be multiplied by i in order to account for the ¼ phase shift (pi/2) caused by the mirror.

My question is this: Is the pi/2 phase shift caused by the fact that the laser beam changed direction by 90 degrees or is the phase shift due solely to the physical properties of the mirror?

Thanks in advance.
 
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It is just due to the mirror. The phase change is due to the usual boundary conditions for
an EM wave impinging on a reflective surface (i.e is is just classical EM).
 
f95toli said:
It is just due to the mirror. The phase change is due to the usual boundary conditions for
an EM wave impinging on a reflective surface (i.e is is just classical EM).

So, are you saying that if the angle of incidence of the beam on the mirror had been, say, 10 degrees instead of 45 degrees, the phase shift still would have been pi/2?
 
Yes.
 
f95toli said:
It is just due to the mirror. The phase change is due to the usual boundary conditions for
an EM wave impinging on a reflective surface (i.e is is just classical EM).

Thanks. How does QED explain, at the individual photon/electron level, the phenomena of the reflection of light?
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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