Обернено квадратичний потенцiал у просторi зi спiновою некомутативнiстю координат
An attractive inverse square potential has been considered in a space with the spin noncommutativity of coordinates. The corresponding effective potential energy, as well as the total energy, is shown to be bounded from below. Using the variational method, the upper limit of the ground-state energy,...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English Ukrainian |
| Опубліковано: |
Publishing house "Academperiodika"
2018
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| Теми: | |
| Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018694 |
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| Назва журналу: | Ukrainian Journal of Physics |
Репозиторії
Ukrainian Journal of Physics| Резюме: | An attractive inverse square potential has been considered in a space with the spin noncommutativity of coordinates. The corresponding effective potential energy, as well as the total energy, is shown to be bounded from below. Using the variational method, the upper limit of the ground-state energy, which turns out to be negative for a sufficiently large coupling constant, is found. As a result, it is proved that the inverse square potential creates stationary levels in the space concerned, unlike the case of commutative space, where a particle falls to the center. |
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