Zobrazeno 1 - 10
of 506
pro vyhledávání: '"Clifford bundle"'
Autor:
Braverman, Maxim
Publikováno v:
Proceedings of the American Mathematical Society, 2002 Apr 01. 130(4), 1095-1101.
Externí odkaz:
https://www.jstor.org/stable/2699557
Autor:
Vadim Monakhov
Publikováno v:
Universe, Vol 5, Iss 7, p 162 (2019)
A new formalism involving spinors in theories of spacetime and vacuum is presented. It is based on a superalgebraic formulation of the theory of algebraic spinors. New algebraic structures playing role of Dirac matrices are constructed on the basis o
Externí odkaz:
https://doaj.org/article/9ada5bca52bd486f9a79818826f6a8f7
Akademický článek
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Autor:
Ricardo Gallego Torromé
We study a relation between certain extensions of the Clifford bundle and Finsler type structures that naturally generalize the standard Clifford relation between (pseudo)-Riemannian metric structures and Dirac matrices. We show for flat metrics that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3362249f082f424ee17c322720a0febd
http://arxiv.org/abs/2106.00235
http://arxiv.org/abs/2106.00235
A Dirac bundle is a euclidean bundle over a riemannian manifold $M$ which is a compatible left $C\ell(M)$-module, together with a metric connection also compatible with the Clifford action in a natural way. We prove some vanishing theorems and introd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c0fe3c48b4bc74c274375564aee6c99
http://arxiv.org/abs/2005.08726
http://arxiv.org/abs/2005.08726
Autor:
Anna Kimaczyńska
Publikováno v:
Journal of Applied Mathematics and Computational Mechanics, Vol 16, Iss 3, Pp 27-36 (2017)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da30a49b1cfcf739530333f79782f3eb
https://doaj.org/article/7b5ab815cbf64bdfa0323dac2a5d18eb
https://doaj.org/article/7b5ab815cbf64bdfa0323dac2a5d18eb
Autor:
N. V. Vinokurova, Yu. E. Gliklikh
Publikováno v:
Journal of Mathematical Sciences. 225:575-589
The paper is a survey with modifications on the research of the so-called Newton–Nelson equation (the equation of motion in Nelson’s stochastic mechanics) on the total space of a bundle in two cases: where the base of the bundle is a Riemannian m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8793f62abf1a530e89fae19fd5a4a27
https://doi.org/10.1007/s10958-017-3479-0
https://doi.org/10.1007/s10958-017-3479-0
Publikováno v:
Advances in Applied Clifford Algebras. 27:2639-2657
In this paper we provide using the Clifford and spin-Clifford formalism and some few results of the extensor calculus a derivation of the conservation laws that follow directly from the Dirac–Hestenes equation (DHE) describing a Dirac–Hestenes sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec4346fdc3689223c55c020d7ada90b6
https://doi.org/10.1007/s00006-017-0779-x
https://doi.org/10.1007/s00006-017-0779-x
Publikováno v:
Advances in Applied Clifford Algebras. 27:2333-2343
Clifford algebras are used in theoretical physics and in particular, in the general theory of relativity, where Einstein’s equations are rewritten in Girard (Adv Appl Clifford Algebras 9(2):225–230, 1999) within a Clifford algebra. Let M be a man
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69e4bc24bd18ab4a96f1759f82e55462
https://doi.org/10.1007/s00006-017-0774-2
https://doi.org/10.1007/s00006-017-0774-2
Autor:
Waldyr A. Rodrigues, Samuel A. Wainer
Publikováno v:
Advances in Applied Clifford Algebras. 27:1779-1799
Using Clifford and Spin–Clifford formalisms we prove that the classical relativistic Hamilton Jacobi equation for a charged massive (and spinning) particle interacting with an external electromagnetic field is equivalent to Dirac–Hestenes equatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9eede7b128b6a8af0120d9d5c2e7f64e
https://doi.org/10.1007/s00006-017-0768-0
https://doi.org/10.1007/s00006-017-0768-0