Why is the conductance quantized?

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SUMMARY

The quantization of conductance is explained by the Landauer formula, which states that conductance is proportional to the transmission probability. However, the transmission probability itself is not generally quantized. Conductance quantization occurs only under specific conditions, distinguishing it from phenomena like magnetic quantization in superconductors. Further insights can be found in the Wikipedia articles on conductance quantum.

PREREQUISITES
  • Understanding of the Landauer formula
  • Familiarity with transmission probability concepts
  • Knowledge of conductance in quantum mechanics
  • Basic principles of superconductivity
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  • Research the Landauer formula in detail
  • Explore the conditions under which conductance quantization occurs
  • Study transmission probability in quantum systems
  • Investigate magnetic quantization in superconductors
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Physicists, electrical engineers, and students studying quantum mechanics and superconductivity will benefit from this discussion on conductance quantization.

wdlang
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according to the Landauer formula, the conductance is proportional to the transmission probability.

But the transmission probability is not quantized generally

So why is the conductance quantized?
 
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