Подробная информация: Symmetry operators and separation of variables in the (2+1)-dimensional Dirac equation with external electromagnetic field

Symmetry operators and separation of variables in the (2+1)-dimensional Dirac equation with external electromagnetic field / A. V. Shapovalov, A. I. Breev

Уровень набора: International Journal of Geometric Methods in Modern Physics, Scientific JournalОсновной Автор-лицо: Shapovalov, A. V., mathematician, Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences, 1949-, Aleksandr VasilyevichАльтернативный автор-лицо: Breev, A. I., Aleksandr IgorevichКоллективный автор (вторичный): Национальный исследовательский Томский политехнический университет, Исследовательская школа физики высокоэнергетических процессов, (2017- )Язык: английский.Страна: .Резюме или реферат: We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a (2+1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2+1)-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables..Аудитория: .Тематика: электронный ресурс | труды учёных ТПУ | (2+1)-dimensional Dirac equation | symmetry operators | separation of variables Ресурсы он-лайн:Щелкните здесь для доступа в онлайн

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We obtain and analyze equations determining first-order differential symmetry operators with matrix coefficients for the Dirac equation with an external electromagnetic potential in a (2+1)-dimensional Riemann (curved) spacetime. Nonequivalent complete sets of mutually commuting symmetry operators are classified in a (2+1)-dimensional Minkowski (flat) space. For each of the sets, we carry out a complete separation of variables in the Dirac equation and find a corresponding electromagnetic potential permitting separation of variables.

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