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Title:
A Dynamic Note on Heisenberg Inequalities
Author:
N.H.S. Haidar
Comments:
6 pages, no figures
Abstract:
The system of inequalities of the quantum statistical Heisenberg's uncertainty principle is proved to possibly collapse at transition from quantum mechanics to the mechanics of a classical particle rotating with a very high or even a relativistic speed.
Title:
Global existence of solutions to the Einstein equations on the anisotropic Bianchi type I space-time
Author:
C.J. Batkam
Comments:
9 pages, no figures
Abstract:
We prove a global in time existence theorem, for the initial valued problem for the Einstein equations, in the case of strictly positive cosmological constant.
Title:
The Supersymmetry Approaches for Kratzer Potential in
Constant Positive Curvature
Author:
J. Sadeghi and M. Rostami
Comments:
7 pages, no figures
Abstract:
In this paper, we study Schrödinger equation for the Kratzer potential in constant
positive curvature. By comparing the corresponding Schrödinger equation of Kratzer potential in constant positive curvature to the Gegenbauer polynomials differential equation, we obtain the energy spectrum and wave function. These lead us to have raising and lowering operators which are first order equations. We take advantage from these first order equations and discuss the supersymmetry algebra. Also, we obtain the corresponding partner hamiltonian for Kratzer potential and investigate the commutation relation for the generators algebra.
Title:
Exact analytical solutions of Einstein's gravitational field equations in static homogeneous prolate spheroidal space-time
Author:
E.N. Chifu, A. Usman and O.C. Meludu
Comments:
18 pages, no figures
Abstract:
We construct analytical solutions to Einstein's geometrical field equations in prolate spheroidal regions derived using our new approach. Our derived field equations exterior and interior to the mass distribution have only one unknown function determined by the mass or pressure distribution. Our formulated solutions yield the unknown function as generalizations of Newton's gravitational scalar potential. Hence, our solution puts Einstein's geometrical theory of gravity on same footing with Newton's dynamical theory; with the dependence of the field on one and only one unknown function comparable to Newton's gravitational scalar potential.
Title:
Applied conformal field theory to critical biomembranes
Author:
M. Benhamou
Comments:
7 pages, no figures
Abstract:
I propose two-dimensional conformal field theories for the description of (lateral and vertical) phase separations within critical bilayer membranes, formed by two chemically incompatible amphiphile molecules. These separation transitions may be produced by changing some suitable parameter, such as temperature, lateral pressure, or membrane environment (ionic forces). To study the associated phase behavior, I first remark that the conformal invariance can be applied to critical membranes containing various species. Second, to show how this approach works, I start by considering a one-order parameter field theory, where the field is the composition fluctuation. The analysis is extended to two-order parameter field theory, where the fields are the composition fluctuations on the two leaflets. Third, I say that the use of the elaborated conformal field theories is largely justified by the fact that these are in good agreement with some recent experiment, which was concerned with the phase separations within membranes containing a wide variety of ternary mixtures of high chain-melting temperature lipids, low chain-melting temperature lipids, and cholesterol. Fourth, I state that, from a static point of view, the critical membranes belong to the same universality class as Ising-like two-dimensional magnetic materials. The only effect of the membrane undulations is that, the critical temperature is shifted towards its lower values. Finally, the critical dynamic phase behavior is briefly discussed.
Title:
Resonances for general Hamiltonians in the Born-Oppenheimer approximation
Author:
B. Messirdi and A. Senoussaoui
Comments:
7 pages, no figures
Abstract:
We study the spectral properties of resonances of general Hamiltonians in the Born-Oppenheimer approximation. We prove that this study can be reduced to the one of a family of finite matrices of semiclassical h-pseudodifferential operators. More precisely, we show that any resonance which is close enough to the real axis can be obtained from the discrete spectrum of one of these matrixes.
Title:
A New Active Control Method for Control and Tracking of Chaotic Systems
Author:
K. S. Ojo and A. N. Njah
Comments:
13 pages, 8 figures
Abstract:
This paper introduces a new active control method for stabilization
and tracking of chaotic systems. Using this method, generalized
control functions are designed for stabilization and tracking of 2D,
3D and 4D chaotic systems comprising respectively $\phi^6$ Duffing
oscillator (DO), a new chaotic system derived from rigid body
dynamics and the Lorenz-Stenflo (LS) system. Numerical results show
that the designed controllers are capable of stabilizing the state
variables of thier respective chaotic systems at any desired
position as well as controlling them to track any desired trajectory
that is a smooth function of time, thereby, validating the
effectiveness of the proposed technique.
Copyright
© African Journal of Mathematical Physics |
