TY - JOUR
AU - Gnatenko, Kh. P.
PY - 2019/02/21
Y2 - 2024/05/30
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 -