Ланцюжок гармонічних осциляторів у некомутативному фазовому просторі з сферичною симетрією
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 oscillato...
Збережено в:
| Дата: | 2019 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Publishing house "Academperiodika"
2019
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| Теми: | |
| Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018231 |
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| Назва журналу: | Ukrainian Journal of Physics |
Репозитарії
Ukrainian Journal of Physics| Резюме: | 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. |
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