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Accardi complementarity in \(\mu\)-deformed quantum mechanics. (English) Zbl 1104.81066

Summary: We show that the momentum and position operators of \(\mu\)-deformed quantum mechanics for \(\mu>0\) are not Accardi complementary in a sense that we will define. We conjecture that this is also true if \(-1/2<\mu<0\).

MSC:

81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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