A generic quantum state and the charge of an electron

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SUMMARY

The discussion centers on the concept of generic quantum states, specifically the notation |\psi> used to represent various quantum properties, including the polarization and path of photons, as well as the spin of electrons. A key point raised is the representation of an electron's charge within this framework. The charge of an electron, denoted as e, is questioned in terms of its representation as a superposition of states, leading to confusion regarding the nature of charge in quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with quantum state notation, specifically Dirac notation
  • Knowledge of photon polarization and electron spin
  • Basic grasp of superposition in quantum states
NEXT STEPS
  • Research the implications of superposition in quantum mechanics
  • Study the role of charge in quantum field theory
  • Explore the concept of quantum states in more detail, focusing on Dirac notation
  • Investigate the relationship between charge and other quantum properties
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Students of quantum mechanics, physicists exploring quantum states, and anyone interested in the foundational concepts of quantum theory and charge representation.

eprparadox
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I'm watching a lecture and the professor is talking about generic quantum states as

|\psi>

He's making the point that this state is very generic. It can represent anything. He references some examples like the polarization of a photon and the path of a photon and the spin of an electron. Those (I think) make sense to me as quantum states.

But then he says that the "charge on an electron" could be represented by this generic state, ## |\psi> ##.

This example I didn't understand. How could talking about the charge of an electron by itself by represented by ## |\psi> ##. For one, what would a superposition of states look like in this case? The charge can't be fractional or be 2e or 3e. It's just e. What am I missing?
 
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Can you write exactly what he says, word for word, in context?
 
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eprparadox said:
I'm watching a lecture
Can you post a link?
 
I'd rather he post the text than "here's an hour long video and somewhere in it he says this".
 

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