Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Ulrych S"'
Autor:
Ulrych, S.
Publikováno v:
J. Math. Anal. Appl. 491:124324 (2020)
The Lie sphere geometry is a natural extension of the M\"obius geometry, where the latter is very important in string theory and the AdS/CFT correspondence. The extension to Lie sphere geometry is applied in the following to a sequence of M\"obius ge
Externí odkaz:
http://arxiv.org/abs/2008.01514
Autor:
Ulrych, S.
Publikováno v:
J. Math. Anal. Appl. 465:1056-1074 (2018)
The Laplace equation in the two-dimensional Euclidean plane is considered in the context of the inverse stereographic projection. The Lie algebra of the conformal group as the symmetry group of the Laplace equation can be represented solely in terms
Externí odkaz:
http://arxiv.org/abs/1810.01273
Autor:
Ulrych, S.
Publikováno v:
Adv. Appl. Clifford Algebras 27:1895-1906 (2017)
The conformal compactification is considered in a hierarchy of hypercomplex projective spaces with relevance in physics including Minkowski and Anti-de Sitter space. The geometries are expressed in terms of bicomplex Vahlen matrices and further broke
Externí odkaz:
http://arxiv.org/abs/1705.07737
Autor:
Ulrych, S.
Publikováno v:
Proc. R. Soc. A 470:20140027 (2014)
Majorana's arbitrary spin theory is considered in a hyperbolic complex representation. The underlying differential equation is embedded into the gauge field theories of Sachs and Carmeli. In particular, the approach of Sachs can serve as a unified th
Externí odkaz:
http://arxiv.org/abs/1401.0658
Autor:
Ulrych, S.
Publikováno v:
Int. J. Theor. Phys. 52:279-292 (2013)
Electromagnetic interactions are discussed in the context of the Klein-Gordon fermion equation. The Mott scattering amplitude is derived in leading order perturbation theory and the result of the Dirac theory is reproduced except for an overall facto
Externí odkaz:
http://arxiv.org/abs/1201.0337
Autor:
Ulrych, S.
Publikováno v:
J.Math.Phys.51:063510 (2010)
The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and alge
Externí odkaz:
http://arxiv.org/abs/1006.5182
Autor:
Ulrych, S.
Publikováno v:
Adv. Appl. Clifford Algebras 18:93-114 (2008)
The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics. A few simple examples are presente
Externí odkaz:
http://arxiv.org/abs/0707.3981
Autor:
Ulrych, S.
Publikováno v:
Phys.Lett.B633:631-635 (2006)
A linear vector model of gravitation is introduced in the context of quantum physics as a generalization of electromagnetism. The gravitoelectromagnetic gauge symmetry corresponds to a hyperbolic unitary extension of the usual complex phase symmetry
Externí odkaz:
http://arxiv.org/abs/gr-qc/0602018
Autor:
Ulrych, S.
Publikováno v:
Phys.Lett.B632:417-421 (2006)
The three-dimensional universal complex Clifford algebra is used to represent relativistic vectors in terms of paravectors. In analogy to the Hestenes spacetime approach spinors are introduced in an algebraic form. This removes the dependance on an e
Externí odkaz:
http://arxiv.org/abs/math-ph/0602003
Autor:
Ulrych, S.
Publikováno v:
Phys.Lett.B612:89-91 (2005)
The Poincare mass operator can be represented in terms of a Cl(3,0) Clifford algebra. With this representation the quadratic Dirac equation and the Maxwell equations can be derived from the same mathematical structure.
Comment: 5 pages Latex2e
Comment: 5 pages Latex2e
Externí odkaz:
http://arxiv.org/abs/hep-th/0510198