TY - JOUR AU - Gnatenko, Kh. P. PY - 2019/02/21 Y2 - 2024/03/28 TI - Harmonic Oscillator Chain in Noncommutative Phase Space with Rotational Symmetry JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 64 IS - 2 SE - General physics DO - 10.15407/ujpe64.2.131 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018231 SP - 131 AB - <p>We consider a quantum space with a rotationally invariant noncommutative algebra of coordinates and momenta. The algebra contains the constructed tensors of noncommutativity involving additional coordinates and momenta. In the rotationally invariant noncommutative phase space, the harmonic oscillator chain is studied. We obtain that the noncommutativity affects the frequencies of the system. In the case of a chain of particles with harmonic oscillator interaction, we conclude that, due to the noncommutativity of momenta, the spectrum of the center-of-mass of the system is discrete and corresponds to the spectrum of a harmonic oscillator.</p> ER -