Position-dependent noncommutativity in quantum mechanics
Position-dependent noncommutativity in quantum mechanics
The model of the position-dependent noncommutativity in quantum mechanics is proposed. We start with given commutation relations between the operators of coordinates $[{\stackrel{^}{x}}^{i},{\stackrel{^}{x}}^{j}]={\ensuremath{\omega}}^{ij}(\stackrel{^}{x})$, and construct the complete algebra of commutation relations, including the operators of momenta. The constructed algebra is a deformation of a standard Heisenberg algebra and obeys the …