How to calculate angular momentum per second for a photon?

In summary, the conversation discusses a photon polarization state and a beam of photons transmitting in this state. The beam is described by a particular polarization state and is totally absorbed by a surface. The question asks what angular momentum is added to the surface per second on average, with a mention of the total angular momentum being Nhbar. The person is unsure if they need to calculate the direction or the full angular momentum, and questions how a beam can transfer angular momentum to a surface.
  • #1
Ishida52134
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Homework Statement


Given a photon polarization state lphi> = lx> 3/5 + ly> 4i/5 , a beam of photons transmit N photons per second in such a state. An L-polarized photon has an angular momentum hbar along its direction of motion, and an R-polarized photon has an angular momentum of the same magnitude but opposite to direction of motion. If the beam described by the particular polarization state phi above is totally absorbed by a surface, what angular momentum is added to the surface per second on the average?



Homework Equations





The Attempt at a Solution


So, I know the total angular momentum is Nhbar. I'm not sure if I have to calculate the direction perpendicular to the surface or the full angular momentum which would be Nhbar.
 
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  • #2
The beam is "totally absorbed" ... how does a beam transfer angular momentum to a surface?
 

1. How is angular momentum defined for a photon?

Angular momentum is a physical quantity that describes the rotational motion of a particle. For a photon, it is defined as the product of its linear momentum and the distance from the axis of rotation. It is also represented by the symbol "L".

2. What is the formula for calculating angular momentum per second for a photon?

The formula for calculating angular momentum per second for a photon is L = E/c, where E is the energy of the photon and c is the speed of light in a vacuum. This formula is also known as the Planck-Einstein relation.

3. How do you determine the direction of angular momentum for a photon?

The direction of angular momentum for a photon is determined by the direction of its linear momentum. Since photons travel in a straight line, their angular momentum is always in the same direction as their linear momentum.

4. Can the angular momentum of a photon be changed?

Yes, the angular momentum of a photon can be changed. It can be changed by changing its energy or its direction of motion. This can be done through interactions with other particles or through the use of external forces.

5. How is angular momentum conserved for a photon?

According to the law of conservation of angular momentum, the total angular momentum of a system remains constant unless acted upon by an external torque. For a photon, this means that its angular momentum can be transferred to or from other particles, but the total angular momentum of the system will remain the same.

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