The theory on the effects of polarizers on particles wavefunctions

  • #1
tade
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I would like to ask what the current scientific understanding on the abilities of various types of polarizers to affect the wavefunctions of particles is. Its based on an earlier thread OP of mine and one of the replies in the thread.

So the Born rule is pretty fundamental to quantum mechanics and the reply numbered and listed two different concepts. And I was thinking about an idea of a third concept, of the polarizer affecting the wavefunction of an entangled pair of particles, nudging the values of the coefficients and their squares in some manner prior to collapse and that being the cause of the overall nudge.
And so based on that I'm wondering what the current understanding on the abilities (or lack thereof) of polarizers to affect particle wavefunctions is, I'd preferably like an overview of the parts of the subject which pertain to this topic which I've raised, thanks
 
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  • #2
A polarizer is a projector. If you have a photon in a given state and the polarizer at a given angle, it selects the photons with the given angle and suppresses the rest. For a state like:
$$|\gamma\rangle=\frac{|V\rangle+|H\rangle}{\sqrt2}$$
where H and V stand for horizontal and vertical polarizations, a vertical polarizer is written as ##P=|V\rangle\langle V|##. If you apply it to your state and take the norm squared you get the probability of transmission (in this case 1/2). In the language of density matrices it creates a mixed state.
 
  • #3
pines-demon said:
A polarizer is a projector. If you have a photon in a given state and the polarizer at a given angle, it selects the photons with the given angle and suppresses the rest. For a state like:
$$|\gamma\rangle=\frac{|V\rangle+|H\rangle}{\sqrt2}$$
where H and V stand for horizontal and vertical polarizations, a vertical polarizer is written as ##P=|V\rangle\langle V|##. If you apply it to your state and take the norm squared you get the probability of transmission (in this case 1/2). In the language of density matrices it creates a mixed state.
hmm I see, and just wondering does this pertain to the question of the abilities (or lack thereof) of various types of polarizers to affect particle wavefunctions
 
  • #4
Yes, the polarizer affects the particle wavefunction: in the example above, the photon wavefunction before the polarizer was ##\frac{|V\rangle+|H\rangle}{\sqrt2}## and its wavefunction after passing through the polarizer is ##|V\rangle##.
 
  • #5
Hill said:
Yes, the polarizer affects the particle wavefunction: in the example above, the photon wavefunction before the polarizer was ##\frac{|V\rangle+|H\rangle}{\sqrt2}## and its wavefunction after passing through the polarizer is ##|V\rangle##.
oh i see
and how about the part about nudging the values of the coefficients in some manner prior to collapse
 
  • #6
tade said:
Its based on an earlier thread OP of mine
This thread here is now closed temporarily for Moderator review...
[ETA: And now closed for good]
 
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  • #7
tade said:
and how about the part about nudging the values of the coefficients in some manner prior to collapse
The last time you asked this question many posters carefully explained why this is doesn't even make sense.
You're not going to get different answers by asking agains every year or so.

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FAQ: The theory on the effects of polarizers on particles wavefunctions

What is the basic principle behind polarizers affecting particle wavefunctions?

Polarizers affect particle wavefunctions by selectively transmitting particles that align with a specific orientation of polarization. This phenomenon is explained by quantum mechanics, where the wavefunction of a particle, such as a photon, collapses to a state that matches the orientation of the polarizer when it passes through it. The wavefunction is thus altered based on the polarization axis of the polarizer.

How do polarizers influence the probability distribution of particles?

Polarizers influence the probability distribution of particles by filtering out components of the wavefunction that do not align with the polarizer's axis. This results in a new wavefunction that only includes the components that are parallel to the polarizer's orientation. Consequently, the probability distribution of detecting particles in certain states changes, reflecting the alignment with the polarizer.

Can polarizers be used to entangle particles?

Polarizers themselves do not create entanglement but can be used to measure entangled states. When entangled particles pass through polarizers, their correlated properties can be observed. For example, if two entangled photons pass through polarizers oriented at different angles, the measurement outcomes will show correlations that reflect their entangled nature, as predicted by quantum mechanics.

What is the role of Malus's Law in understanding the effects of polarizers on wavefunctions?

Malus's Law describes how the intensity of light passing through a polarizer depends on the angle between the light's initial polarization direction and the polarizer's axis. Mathematically, it states that the transmitted intensity is proportional to the square of the cosine of the angle between the polarization directions. This law helps in understanding how polarizers affect the amplitude of the wavefunction components and thus the probability of detecting particles in specific states.

How do multiple polarizers interact to affect a particle's wavefunction?

When multiple polarizers are used in sequence, the wavefunction of a particle is successively altered by each polarizer. The final state of the wavefunction depends on the orientation of each polarizer. For instance, if two polarizers are oriented at 90 degrees relative to each other, no particles will pass through both. However, if a third polarizer is placed between them at an angle, some particles may pass through all three, demonstrating the complex interplay of wavefunction components and polarization angles.

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