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Journal of Statistical Physics

, Volume 76, Issue 1–2, pp 497–504 | Cite as

Is energy increasing with angular momentum?

  • André Martin
Articles
  • 29 Downloads

Abstract

We submit to the community of physicists and mathematical physicists the following problem: prove that the ground-state energy of a system ofN particles without spin, without statistics, and interacting by central forces increases with angular momentum. For two particles, this is obvious. For more than two we give a number of arguments which support our conjecture.

Key Words

Many-body systems Regge trajectories energy dependence on angular momentum comparison between classical and quantum mechanics multidimensional harmonic oscillators 

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References

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    S. Golden,Phys. Rev. 137B:1127 (1965); K. Symanzik,J. Math. Phys. 6:1155 (1965).CrossRefGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • André Martin
    • 1
  1. 1.Theoretical Physics DivisionCERNGeneva 23Switzerland

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