Coulomb's gap and Wave Equation

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SUMMARY

The discussion centers on solving the Schrödinger's equation to determine the limiting velocity of a proton tunneling through the Coulomb gap, which is essential for initiating fusion reactions. Participants suggest utilizing the WKB (Wentzel-Kramers-Brillouin) approximation as a viable method for this analysis. The conversation emphasizes the importance of quantum tunneling in nuclear fusion processes and the mathematical tools required to model such phenomena accurately.

PREREQUISITES
  • Understanding of Schrödinger's equation
  • Familiarity with quantum tunneling concepts
  • Knowledge of the WKB approximation
  • Basic principles of nuclear fusion
NEXT STEPS
  • Research the application of the WKB approximation in quantum mechanics
  • Study the mathematical derivation of the Schrödinger's equation
  • Explore the role of Coulomb barriers in nuclear fusion
  • Investigate quantum tunneling phenomena in particle physics
USEFUL FOR

Physicists, students of quantum mechanics, and researchers interested in nuclear fusion and quantum tunneling applications.

raknath
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Hi all

I was wondering if I could solve the Schrödinger's equation to see the limiting velocity for a proton to tunnel through the coulomb gap in order for the first equation in the fusion reaction to occur

Thanks a lot
 
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raknath said:
Hi all

I was wondering if I could solve the Schrödinger's equation to see the limiting velocity for a proton to tunnel through the coulomb gap in order for the first equation in the fusion reaction to occur

Thanks a lot

Why can't you use the WKB approximation?

Zz.
 
how do I do this in this context?
 

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