Is energy increasing with angular momentum?
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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 WordsMany-body systems Regge trajectories energy dependence on angular momentum comparison between classical and quantum mechanics multidimensional harmonic oscillators
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