Quantum Tunneling different individual transmission probabilities

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SUMMARY

The discussion centers on the individual transmission probabilities of particles such as electrons and protons in the context of Quantum Tunneling. It is established that these probabilities are not constant and depend on factors like the energy and mass of the particle, as well as the strength of the potential barrier. The reflection and transmission coefficients can be calculated using the Schrödinger equation for a step potential, which provides a mathematical framework for understanding these probabilities. For further details, the discussion references a Wikipedia page that outlines the solution of the Schrödinger equation for a step potential.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with the Schrödinger equation
  • Knowledge of potential barriers in quantum physics
  • Basic concepts of reflection and transmission coefficients
NEXT STEPS
  • Study the Schrödinger equation for a step potential in detail
  • Research the calculation of reflection and transmission coefficients
  • Explore the impact of particle energy and mass on tunneling probabilities
  • Examine case studies of Quantum Tunneling in various particles
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Students and researchers in physics, particularly those focusing on Quantum Mechanics, as well as anyone interested in the behavior of particles in potential barriers.

wolfy
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Different individual transmission probabilities of electrons, protons, etc, in Quantum Tunneling.
I have gone through all the videos on Youtube about Quantum Tunneling and became interested in it, so any helpful feedback would be appreciated.

Do all the different individual transmission probabilities of electrons, protons, and such remain constant?

May I ask what is the "formula" or "chart values" for the different individual transmission probabilities of electrons, protons, etc, and such are in Quantum Tunneling of these.

I am NOT an expert in Quantum Mechanics in the Least and I Hope I've made the Question Easy enough to Understand.
 
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wolfy said:
Summary:: Different individual transmission probabilities of electrons, protons, etc, in Quantum Tunneling.

I have gone through all the videos on Youtube about Quantum Tunneling and became interested in it, so any helpful feedback would be appreciated.

Do all the different individual transmission probabilities of electrons, protons, and such remain constant?

May I ask what is the "formula" or "chart values" for the different individual transmission probabilities of electrons, protons, etc, and such are in Quantum Tunneling of these.

I am NOT an expert in Quantum Mechanics in the Least and I Hope I've made the Question Easy enough to Understand.

For a particle interacting with a potential barrier, you can calculate the reflection and transmission coefficients in each case. These depend on the energy and mass of the particle and the strength of the barrier.

See here, for example:

https://en.wikipedia.org/wiki/Solution_of_Schrödinger_equation_for_a_step_potential
 
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