Understanding Photon Polarization with Dirac's Principles of Quantum Mechanics

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SUMMARY

The discussion centers on the interpretation of photon polarization as described in "The Principles of Quantum Mechanics, 4th edition." It confirms that measuring a photon's polarization is a destructive process, resulting in the photon being absorbed if it does not align with the measurement basis. Despite this, the correlation between the polarizations of entangled photons, as seen in EPR experiments, allows for definitive conclusions about one photon's state based on the measurement of another. The conversation highlights the challenges of conveying complex quantum concepts in everyday language while emphasizing the utility of Dirac's principles for intuitive understanding.

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  • Understanding of quantum mechanics principles
  • Familiarity with photon polarization concepts
  • Knowledge of entangled states in quantum physics
  • Basic grasp of measurement theory in quantum mechanics
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  • Study Dirac's formalism in quantum mechanics
  • Explore the implications of EPR paradox in quantum entanglement
  • Learn about destructive measurements and their impact on quantum states
  • Investigate mathematical descriptions of polarization states
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Physicists, quantum mechanics students, and researchers interested in the principles of photon polarization and entanglement phenomena.

forcefield
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Is this statement correct: ?

"The effect of making this observation is to force the photon entirely into the state of parallel or entirely into the state of perpendicular polarization." *

I don't see how you can talk about how the polarization of a photon changes if the photon gets absorbed (as is the case here if it does not get through with a perpendicular polarization).

* The Principles of Quantum Mechanics, 4th edition, pg 7
 
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forcefield said:
Is this statement correct: ?

"The effect of making this observation is to force the photon entirely into the state of parallel or entirely into the state of perpendicular polarization." *

I don't see how you can talk about how the polarization of a photon changes if the photon gets absorbed (as is the case here if it does not get through with a perpendicular polarization).

* The Principles of Quantum Mechanics, 4th edition, pg 7

You're right--measuring the polarization of a photon is a destructive measurement--after the measurement, the photon is gone. However, Dirac's statement is still relevant in a case such as EPR where the polarizations of two different photons are correlated. In that case, measuring one photon's polarization tells you something definite about the other photon's polarization.
 
It's not perfect, for the reason that you've pointed out... But that's a chronic problem with English-language descriptions of physical processes that are more precisely described in more mathematical terms. Treat this statement as a way of getting some intuition about what the mathematical formalism is saying and it'll work just fine.
 
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