Transmission coefficient, quantum tunnelling

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SUMMARY

The discussion focuses on calculating the transmission coefficient for quantum tunneling scenarios, specifically addressing the issue of obtaining values greater than 1. Participants highlight the importance of correctly applying the relevant equations, as outlined on Wikipedia, and emphasize the need to differentiate between various barrier types, such as square barriers and finite square wells. Miscalculations, including the potential confusion between transmission coefficient and transmission probability, are identified as common pitfalls in this context.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of transmission coefficients and probabilities
  • Familiarity with barrier types in quantum tunneling
  • Basic mathematical skills for solving quantum equations
NEXT STEPS
  • Study the derivation of the transmission coefficient for square barriers
  • Explore the concept of finite square wells in quantum mechanics
  • Learn about the implications of transmission probabilities in quantum tunneling
  • Review common mistakes in quantum tunneling calculations
USEFUL FOR

Students and researchers in quantum mechanics, physicists working on tunneling phenomena, and anyone involved in theoretical physics calculations related to quantum barriers.

Huor Earfalas
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I have been trying to calculate the transmission coefficient for a quantum tunelling case, but I seem to get the coefficient value more than 1. How is that possible?

The equation i used is based on the wikipedia page (I am unable to link because I am underpost).

Also typically what are the values for transmission probability?
 
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You might have calculated the reciprocal of the transmission coefficient by accident, or just made a miscalculation. Are you trying to calculate it for a square barrier or a general barrier?
 
Finite square well?
 

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