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Письма в Журнал экспериментальной и теоретической физики, 2005, том 81, выпуск 12, страницы 776–779
(Mi jetpl1781)
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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
МЕТОДЫ ТЕОРЕТИЧЕСКОЙ ФИЗИКИ
Comment on the surface exponential for tensor fields
E. T. Akhmedovab, V. V. Dolotinab, A. Morozovab a Institute of Theoretical and Experimental Physics, 117219 Moscow,
Russia
b Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia
Аннотация:
Starting from essentially commutative exponential map $E(B|I)$ for generic tensor-valued 2-forms $B$, introduced in [10] as direct generalization of the ordinary non-commutative $P$-exponent for 1-forms with values in matrices (i.e. in tensors of rank 2), we suggest a non-trivial but multi-parametric exponential $\mathcal E(B|I|t_\gamma)$, which can serve as an interesting multi-directional evolution operator in the case of higher ranks. To emphasize the most important aspects of the story, construction is restricted to backgrounds $I_{ijk}$, associated with the structure constants of commutative associative algebras, what makes it unsensitive to topology of the $2d$ surface. Boundary effects are also eliminated (straightfoward generalization is needed to incorporate them).
Поступила в редакцию: 12.05.2005
Образец цитирования:
E. T. Akhmedov, V. V. Dolotin, A. Morozov, “Comment on the surface exponential for tensor fields”, Письма в ЖЭТФ, 81:12 (2005), 776–779; JETP Letters, 81:12 (2005), 639–643
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl1781 https://www.mathnet.ru/rus/jetpl/v81/i12/p776
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