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Z. Oziewicz

Publications and source records attributed to Z. Oziewicz.

4 recordsLinked to original sources
arXiv1999

The Dirac-Hestenes Lagrangian

We discuss the variational principle within Quantum Mechanics in terms of the noncommutative even Space Time sub-Algebra, the Clifford $\Ra$-algebra $Cl_{1,3}^+$. A fundamental ingredient, in our multivectorial algebraic formulation, is the adoption of a $\D $-complex geometry, $\D \equiv span_{\RR} \{1,γ_{21} \}$, $γ_{21} \in Cl_{1,3}^+$. We derive the Lagrangian for the Dirac-Hestenes equation and show that such Lagrangian must be mapped on $\D \otimes {\cal F}$, where $\cal F$ denotes an $\Ra$-algebra of functions.

hep-ph↗
arXiv1996

First Order Calculi with Values in Right--Universal Bimodules

The purpose of this note is to show how calculi on unital associative algebra with universal right bimodule generalize previously studied constructions by Pusz and Woronowicz [1989] and by Wess and Zumino [1990] and that in this language results are in a natural context, are easier to describe and handle. As a by--product we obtained intrinsic, coordinate--free and basis--independent generalization of the first order noncommutative differential calculi with partial derivatives.

q-alg↗
arXiv1996

Relativistic and Neutrino Mass Effects in Partial Muon Capture

The characteristics of the partial nuclear muon capture with massive left-handed Dirac neutrino and relativistic component of the muon wave function have been derived. The multipole amplitudes are given as a function of neutrino mass parameter and reduced nuclear matrix elements which are modified by the small component of the muon wave function. As an example, the capture rate, asymmetry and polarization of recoil nuclei are investigated in terms of these multipole amplitudes.

hep-ph↗