Exact S-matrix for potential scattering

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SUMMARY

The discussion centers on the existence of exact S-matrix calculations for non-relativistic scattering off central potentials. Participants conclude that there are no known examples of such exact calculations in three-dimensional scenarios. The focus is on the limitations of current methodologies in achieving precise S-matrix results in this context.

PREREQUISITES
  • Understanding of S-matrix theory
  • Familiarity with non-relativistic quantum mechanics
  • Knowledge of central potential models
  • Basic grasp of scattering theory
NEXT STEPS
  • Research exact solutions in one-dimensional scattering problems
  • Explore the implications of central potential in quantum mechanics
  • Study advanced scattering theory techniques
  • Investigate potential scattering in higher-dimensional spaces
USEFUL FOR

The discussion is beneficial for theoretical physicists, quantum mechanics researchers, and students focusing on scattering theory and S-matrix applications.

alemsalem
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are there examples in non-relativistic scattering off a central potential where the S-matrix can be calculated exactly?

Thanks!
 
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I don't think there are any in three dimensions.
 

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