The "complete state" of an electron

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SUMMARY

The discussion centers on the concept of the "complete state" of an electron as described in quantum mechanics, specifically referencing Griffiths' text. It establishes that the complete state is represented as the product of the spatial and spin components of the wave function. The conversation highlights the significance of these components in the context of the exchange force, emphasizing that two fermions cannot occupy the same state. The absence of experimental evidence for additional distinguishing factors among electrons supports the conclusion that the current representation is indeed complete.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with wave functions and their components
  • Knowledge of fermions and the Pauli exclusion principle
  • Basic grasp of experimental methods in physics
NEXT STEPS
  • Study Griffiths' "Introduction to Quantum Mechanics" for deeper insights into wave functions
  • Explore the implications of the Pauli exclusion principle in multi-electron systems
  • Research experimental techniques in quantum mechanics to observe electron behavior
  • Investigate the role of exchange forces in quantum field theory
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Students and professionals in physics, particularly those studying quantum mechanics, as well as researchers interested in the fundamental properties of electrons and their interactions.

ExplosivePete
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I am in a quantum mechanics course based on the Griffiths text. When the books talks about the wave function on an electron in a specific state, it refers to the "complete state" of the electron as being the product of the spatial part and the spin part of the wave function. The need to distinguish the two components becomes clear when talking about the exchange force in that two fermions can't be in the same state. Is this necessarily a "complete" representation of the electron, or is it possible that there are other factors that could distinguish electrons from each other?
 
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ExplosivePete said:
Is this necessarily a "complete" representation of the electron
yes
 
ExplosivePete said:
Is this necessarily a "complete" representation of the electron, or is it possible that there are other factors that could distinguish electrons from each other?

If there were other factors that could distinguish the electrons from each other, this would show up experimentally because it would be possible (for example) to have more than two electrons in each orbital of an atom. This would have significant consequences in optics and chemistry, but no such consequences are seen.
 
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