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Minimal potentials with very many minima. (English) Zbl 1042.81535

Summary: We demonstrate, by construction, that simple renormalizable matrix potentials with \(S_N\), as opposed to O\((N)\), symmetry can exhibit an exponentially large number of inequivalent deep local minima.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

References:

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