Polarisation vector vs spin vector

In summary, the polarisation vector and spin vector are both mathematical representations used in quantum mechanics to describe properties of particles. The polarisation vector is related to the direction of electromagnetic waves, while the spin vector describes the intrinsic angular momentum of a particle. They have different physical meanings and cannot be measured directly, but are related through the concept of polarisation basis. Both are conserved quantities in quantum mechanics and play important roles in various physical phenomena.
  • #1
Neitrino
137
0
In what relation to each other are the direction of spin vector and direction of polarisation vector... for example of a photon ?
 
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  • #2
They are at right angles to each other.
 
  • #3


The direction of the spin vector and the direction of the polarisation vector are closely related to each other, especially in the case of a photon. The spin vector refers to the intrinsic angular momentum of a particle, such as a photon, and is represented by a vector pointing in the direction of the particle's spin. On the other hand, the polarisation vector refers to the direction of the electric field oscillations of a photon, and is also represented by a vector.

In the case of a photon, the direction of the spin vector is always perpendicular to the direction of the polarisation vector. This means that if the polarisation vector is pointing vertically, the spin vector will be pointing horizontally, and vice versa. This relationship is known as the helicity of the photon.

Additionally, the direction of the spin vector and the direction of the polarisation vector determine the overall polarisation state of a photon. For example, if the spin vector and polarisation vector are parallel, the photon is said to be in a circularly polarised state. If they are perpendicular, the photon is in a linearly polarised state.

In summary, the direction of the spin vector and the direction of the polarisation vector are related to each other in determining the properties and polarisation state of a photon. Understanding this relationship is crucial in the study of electromagnetic radiation and its behaviour.
 

What is the difference between polarisation vector and spin vector?

The polarisation vector and spin vector are both mathematical representations used in quantum mechanics to describe the properties of particles. The main difference between the two is that the polarisation vector describes the polarisation state of a photon, while the spin vector describes the intrinsic angular momentum of a particle.

Do polarisation vector and spin vector have the same physical meaning?

No, polarisation vector and spin vector have different physical meanings. The polarisation vector is related to the direction of electromagnetic waves, while the spin vector is related to the intrinsic angular momentum of a particle.

Can the polarisation vector and spin vector be measured directly?

No, both the polarisation vector and spin vector cannot be measured directly. Instead, they are inferred from the results of experiments and calculations.

How are polarisation vector and spin vector related to each other?

The polarisation vector and spin vector are related through the concept of polarisation basis. The polarisation basis is a mathematical representation that allows us to describe the polarisation state of a particle in terms of its spin state and vice versa.

Are polarisation vector and spin vector conserved quantities?

Yes, both the polarisation vector and spin vector are conserved quantities in quantum mechanics. This means that their values do not change over time, and they are important constants in many physical phenomena.

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