Solving Coulomb Barrier: Calculating Energy w/e2 Units

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SUMMARY

The discussion focuses on calculating the energy required to overcome the Coulomb barrier, specifically addressing the units of e², which are incorrectly stated as 1.440 eV nm. The correct relationship involves the term k e², which possesses dimensions of energy-length. This clarification is essential for accurate calculations in electrostatics and quantum mechanics.

PREREQUISITES
  • Understanding of Coulomb's Law and electrostatic interactions
  • Familiarity with energy units, specifically electronvolts (eV)
  • Basic knowledge of dimensional analysis in physics
  • Proficiency in using scientific literature for reference, such as research papers
NEXT STEPS
  • Research the derivation of the k e² relationship in electrostatics
  • Study the implications of energy-length dimensions in quantum mechanics
  • Learn about the Coulomb barrier in nuclear physics
  • Explore the applications of dimensional analysis in physics problem-solving
USEFUL FOR

Physicists, students studying quantum mechanics, and anyone involved in nuclear physics research will benefit from this discussion.

cwetteland
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OK need some help with units. I am trying calculate the energy to surmount the coulomb barrier. the relationship is basic, but I can't remember how the units of e2 (1.440 ev nm) come about. thanks
 
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I can't remember how the units of e2 (1.440 ev nm) come about. thanks
... they don't - that figure is incorrect.
It is ##ke^2## that has dimensions of energy-length.

See http://mypages.iit.edu/~johnsonpo/250310.pdf p1.
 

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