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Physics Letters

On higher symmetries in quantum mechanics

J. Friš, V. Mandrosov, Ya.A. Smorodinsky, M. Uhlíř, Pavel Winternitz A

Published Jun 1, 1965• 391 citations
Publisher
DOI
10.1016/0031-9163(65)90885-1

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Symmetry has imposed very strong constraints on the internal structure of quantum mechanical system. In particular, whether a state can access a given outgoing channel is constrained by symmetry. For the dipositroniums, the most important channel is the Ps-Ps channel. However, based on symmetry consideration it was found that only a few excited states are allowed to access the Ps-Ps channel, thereby at least the existence of two higher L = 0 bound states (higher than the Ps-Ps threshold) has been affirmed.