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Selected aspects of robin heart robot control

100%
Niewola A., Podsędkowski L., Wróblewski P., Zawiasa P., Zawierucha M., Niewola A., Podsędkowski L., Wróblewski P., Zawiasa P., Zawierucha M.
Archive of Mechanical Engineering
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2013
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vol. 60
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issue 4
2
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SUSY partners for spin-1/2 systems in nonrelativistic limits

99%
Takou D. S., Avossevou G. Y. H., Kounouhewa B. B.
Open Physics
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2015
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vol. 13
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issue 1
EN
In this paper, we use some well-known techniques of Supersymmetric QuantumMechanics (SUSYQM) namely the factorization method and shape invariance, to generate new analytically solvable potentials from some interacting fermionic models in nonrelativistic limits. These systems are described by the ordinary and the harmonically trapped Schrödinger-Pauli particle models and the Dirac-Coulomb Hamiltonian, this latter being set in its nonrelativistic limits. The spectrum for each of these models is obtained in a simple and transparent way. We then generate new solvable potentials that describe interactions between electromagnetic field and matter, paying due attention to the subtleties inherent in the application of SUSY to higher dimensional problems. SUSY breaking problems related to the partner singularities are dicussed along with the paper.
3
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A cyclic universe with colour fields

99%
Yershov V.
Open Physics
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2009
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vol. 7
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issue 1
50-66
EN
The topology of the universe is discussed in relation to the singularity problem. We explore the possibility that the initial state of the universe might have had a structure with 3-Klein bottle topology, which would lead to a model of a nonsingular oscillating (cyclic) universe with a well-defined boundary condition. The same topology is assumed to be intrinsic to the nature of the hypothetical primitive constituents of matter (usually called preons) giving rise to the observed variety of elementary particles. Some phenomenological implications of this approach are also discussed.
4
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Analytical approximate solutions to the Thomas-Fermi equation

85%
Marinca V., Ene R.-D.
Open Physics
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2014
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vol. 12
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issue 7
503-510
EN
The purpose of this paper is to show how to use the Optimal Homotopy Asymptotic Method (OHAM) to solve the nonlinear differential Thomas-Fermi equation. Our procedure does not depend upon small parameters and provides us with a convenient way to optimally control the convergence of the approximate solutions. An excellent agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.
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