Про рух квантових частинок в електричному полi в просторах постiйної кривизни, гiперболiчнiй та сферичнiй моделях
In the Lobachevsky hyperbolic and Riemann spherical spaces, generalized potentials describing a uniform electric field are introduced as solutions of the covariant Maxwell equations. Exact solutions of the Schr¨odinger equation in the presence of the electric field are constructed in both models. Th...
Збережено в:
Дата: | 2018 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Publishing house "Academperiodika"
2018
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Теми: | |
Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018386 |
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Назва журналу: | Ukrainian Journal of Physics |
Репозитарії
Ukrainian Journal of PhysicsРезюме: | In the Lobachevsky hyperbolic and Riemann spherical spaces, generalized potentials describing a uniform electric field are introduced as solutions of the covariant Maxwell equations. Exact solutions of the Schr¨odinger equation in the presence of the electric field are constructed in both models. The similarity of the energy spectra of the particle against the background of a spherical space with the electric field and in the Coulomb field is noted. |
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