Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Robert Owczarek"'
Publikováno v:
2022 IEEE Radar Conference (RadarConf22).
Autor:
Robert Owczarek
Publikováno v:
Journal of Knot Theory and Its Ramifications. 27:1841007
The Chebyshev polynomials appear somewhat mysteriously in the theory of the skein modules. A generalization of the Chebyshev polynomials is proposed so that it includes both Chebyshev and Fibonacci and Lucas polynomials as special cases. Then, since
Autor:
Robert Owczarek
Publikováno v:
International Journal of Theoretical Physics. 40:163-170
The spectral problem for the Dirac operator on the Podleś sphere is discussed and solved in one of its possible formulations. The standard constructions for the Dirac operator on classical symmetric spaces and the spectrum of the Dirac operator on t
Autor:
Robert Owczarek
Publikováno v:
Journal of Physics A: Mathematical and General. 32:3979-3991
In this paper spinor structures over flag manifolds of compact simple Lie groups are considered and constructed explicitly, using the general method of Dabrowski and Trautman. In this way the existence and uniqueness of these structures is establishe
Publikováno v:
Laser Technology 2012: Applications of Lasers.
Hazardous chemicals detection systems based on cascade lasers are wider and wider used for monitoring the earth atmosphere pollution, as well as in the safety apparatus installed in buildings of public services. The main feature of these systems is a
Autor:
Hanna Makaruk, Robert Owczarek
Publikováno v:
Reports on Mathematical Physics. 36:355-363
Gl( n , R )-invariant tetrad theory is rewritten so as to show its relation to purely affine formulation of general relativity. As a basic tool for such reformulation the Gl( n , R )-invariant splitting of any connection into a symmetric connection,
Autor:
Robert Owczarek
Publikováno v:
Journal of Knot Theory and Its Ramifications. 25:1640009
Quantum computing is a field of great interest, attracting, among others, the attention of many mathematicians. Although not all quantum mechanics is needed to successfully engage in research on quantum computing, the somewhat superficial approach us
Autor:
Robert Owczarek
Publikováno v:
Reports on Mathematical Physics. 34:305-310
A solution generalizing the Nielsen-Olesen string solution is found. Its existence in the stationary ansatz is proved and non-triviality of the helicity integral is shown. Monotonicity properties of the solution are discussed. Asymptotic behaviours i
Autor:
Robert Owczarek
Publikováno v:
Journal of Physics: Condensed Matter. 5:8793-8798
I consider vortical structures in superfluid helium in the form of knots and links. Then I give some basic notions and facts from knot theory, necessary to understand the rest of the paper. I consider framed knotted vortices and identify these frames