Zobrazeno 1 - 10
of 204
pro vyhledávání: '"Algebra of physical space"'
Autor:
Hong-Ki Hong, Li Wei Liu
Publikováno v:
Applied Mathematical Modelling. 54:246-267
Applications of Clifford analysis to three-dimensional elasticity are addressed in the present paper. The governing equation for the displacement field is formulated in terms of the Dirac operator and Clifford algebra valued functions so that a gener
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2d3edd2c2556f80a433dbbf772c8696
https://doi.org/10.1016/j.apm.2017.09.031
https://doi.org/10.1016/j.apm.2017.09.031
Autor:
Jayme Vaz
Publikováno v:
International Journal of Theoretical Physics. 57:582-601
Elko spinors are eigenspinors of the charge conjugation operator. In this work we use the Clifford algebra of the physical space in order to formulate the theory of Elko spinors and use a procedure analog to Ryder’s derivation of Dirac equation to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fbcc9d2e8233da10ea4a3d58730433b
https://doi.org/10.1007/s10773-017-3591-4
https://doi.org/10.1007/s10773-017-3591-4
Autor:
Mircea Martin
Publikováno v:
Advances in Applied Clifford Algebras. 27:2585-2605
The goal of this article is to introduce a concept of Clifford structures on vector bundles as natural extensions of the standard complex and quaternionic structures, and to determine the derivations and linear connections on smooth Clifford vector b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8689e27db043736789d0cf450da80e92
https://doi.org/10.1007/s00006-017-0767-1
https://doi.org/10.1007/s00006-017-0767-1
Publikováno v:
Journal of Applied Mathematics and Physics. :1575-1588
A new unification of the Maxwell equations is given in the domain of Clifford algebras with in a fashion similar to those obtained with Pauli and Dirac algebras. It is shown that the new electromagnetic field multivector can be obtained from a potent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f5cd36e5dcc5ff2aeed2283f6ffee02
https://doi.org/10.4236/jamp.2017.58130
https://doi.org/10.4236/jamp.2017.58130
Publikováno v:
Complex Analysis and Operator Theory. 11:1139-1172
We recall the algebra of endomorphisms on the so-called radial algebra of abstract vector variables which generalizes both polynomial and Clifford algebras, and the defining building blocks of a function theory in this abstract framework. These build
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87b4edb265475060a3ea2e56b05237e6
https://doi.org/10.1007/s11785-016-0621-9
https://doi.org/10.1007/s11785-016-0621-9
Autor:
Rukhsan-Ul-Haq
Publikováno v:
Resonance. 21:1105-1117
Spin is a fundamental degree of freedom of matter and radiation. In quantum theory, spin is represented by Pauli matrices. Then the various algebraic properties of Pauli matrices are studied as properties of matrix algebra. What has been shown in thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70e83a4577950a4b0eac791bb65fd740
https://doi.org/10.1007/s12045-016-0422-5
https://doi.org/10.1007/s12045-016-0422-5
Publikováno v:
Engineering Analysis with Boundary Elements. 71:140-150
Electromagnetic problems governed by Maxwell's equations are solved by using a Clifford algebra valued boundary element method (BEM). The well-known Maxwell's equations consist of eight pieces of scalar partial differential equations of the first ord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3eec621731b14894659ad88442e85665
https://doi.org/10.1016/j.enganabound.2016.07.007
https://doi.org/10.1016/j.enganabound.2016.07.007
Publikováno v:
Journal of Modern Physics. :2398-2417
We continue the study of the Standard Model of Quantum Physics in the Clifford algebra of space. We get simplified mass terms for the fermion part of the wave. We insert the simplified equations in the frame of General Relativity. We construct the el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bef4775ba6a6fe7d8e26369954c5936b
https://doi.org/10.4236/jmp.2016.716207
https://doi.org/10.4236/jmp.2016.716207
Autor:
Jacques Bertrand, Claude Daviau
Publikováno v:
Journal of Modern Physics. :936-951
Three Clifford algebras are sufficient to describe all interactions of modern physics: The Clifford algebra of the usual space is enough to describe all aspects of electromagnetism, including the quantum wave of the electron. The Clifford algebra of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16c3f7cd2ff8b1fed0b2c2bd8c46856d
https://doi.org/10.4236/jmp.2016.79086
https://doi.org/10.4236/jmp.2016.79086
Autor:
A. Dargys
Publikováno v:
Optics Communications. 354:259-265
To analyze the electromagnetic wave propagation in a medium the Maxwell equations should be supplemented by constitutive relations. At present the classification of linear constitutive relations is well established in tensorial-matrix and exterior p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::130d43fba6130eb5335a34a4aa3ecf9f
https://doi.org/10.1016/j.optcom.2015.06.004
https://doi.org/10.1016/j.optcom.2015.06.004