Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
نویسنده
چکیده
We study the commutation relations, uncertainty relations and spectra of position and momentum operators within the framework of quantum group symmetric Heisenberg algebras and their (Bargmann-) Fock representations. As an effect of the underlying noncommutative geometry, a length and a momentum scale appear, leading to the existence of minimal nonzero uncertainties in the positions and momenta. The usual quantum mechanical behaviour is recovered as a limiting case for not too small and not too large distances and momenta. DAMPT/93-65 and hep-th/9311147
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تاریخ انتشار 1993