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pro vyhledávání: '"Dita , Petre"'
Autor:
Diţă, Petre
In this paper we disprove the Haagerup statement that all complex Hadamard matrices of order five are equivalent with the Fourier matrix $F_5$ by constructing circulant matrices that lead to new Hadamard matrices. An important item is the constructio
Externí odkaz:
http://arxiv.org/abs/1410.2134
Autor:
Dita, Petre
In this paper we provide a general method to construct four-parameter families of complex Hadamard matrices of order six. Our approach is to write a 6-dimensional matrix as composed of four blocks, each one in the form of a circulant matrix. Use of S
Externí odkaz:
http://arxiv.org/abs/1207.2593
Autor:
Dita, Petre
In this paper we discuss the isolation problem of the Agaian matrix among the 6-dimensional matrices. In general a matrix isolation could depend on the kind of equivalence one uses for complex Hadamard matrices. However the present form of Agaian mat
Externí odkaz:
http://arxiv.org/abs/1207.0695
Autor:
Dita, Petre
The aim of the paper is to show that the nowadays experimental data from superallowed nuclear and neutron $\beta$ decays, and from leptonic and semileptonic decays allow the finding of the most probable numerical form of the KM matrix, as well as the
Externí odkaz:
http://arxiv.org/abs/1108.1144
Autor:
Dita, Petre
The circulant real and complex matrices are used to find new real and complex conference matrices. With them we construct Sylvester inverse orthogonal matrices by doubling the size of inverse complex conference matrices. When the free parameters take
Externí odkaz:
http://arxiv.org/abs/1107.1338
Autor:
Dita, Petre
Publikováno v:
Phys.Rev.D74:113010,2006
In this paper we use an exact method to impose unitarity on moduli of neutrino PMNS matrix recently determined, and show how one could obtain information on CP nonconservation from a limited experimental information. One suggests a novel type of glob
Externí odkaz:
http://arxiv.org/abs/1101.4087
Autor:
Dita, Petre
The aim of the paper is to propose another tool for phenomenological analyses of experimental data from superallowed nuclear and neutron $\beta$ decays, and from leptonic and semileptonic decays, that allows the finding of the most probable numerical
Externí odkaz:
http://arxiv.org/abs/1010.3939
Autor:
Dita, Petre
Publikováno v:
J. Math. Phys. 51, 072202 (2010)
An analytical method for getting new complex Hadamard matrices by using mutually unbiased bases and a nonlinear doubling formula is provided. The method is illustrated with the n=4 case that leads to a rich family of eight-dimensional Hadamard matric
Externí odkaz:
http://arxiv.org/abs/1002.4933
Autor:
Dita, Petre
An analysis of Wolfenstein parametrization for the Kobayashi-Maskawa matrix shows that it has a serious flaw: it depends on {\em three} independent parameters instead of {\em four} as it should be. Because this approximation is currently used in phen
Externí odkaz:
http://arxiv.org/abs/0912.0811
Autor:
Dita, Petre
A novel method to obtain parametrizations of complex inverse orthogonal matrices is provided. These matrices are natural generalizations of complex Hadamard matrices which depend on non zero complex parameters. The method we use is via doubling the s
Externí odkaz:
http://arxiv.org/abs/0901.0982