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Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
Maxwell’s vacuum equations are integrated for admissible electromagnetic fields in homogeneous spaces. Admissible electromagnetic fields are those for which the space group generates an algebra of symmetry operators (integrals of motion) that is ...
Valery V. Obukhov
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Cartesian Operator Factorization Method for Hydrogen
We generalize Schrödinger’s factorization method for Hydrogen from the conventional separation into angular and radial coordinates to a Cartesian-based factorization.
Xinliang Lyu +2 more
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We consider a boundary control problem for the equation of string vibration with given initial and final conditions, given the deflection form at an intermediate moment of time.
Vanya Barseghyan, Svetlana Solodusha
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How Can We Manage Repairing a Broken Finite Vibrating String? Formulations of the Problem
Three approaches to solve a well-known IBVP posed for vibrating composite string with piece-wise constant properties have been applied. The main issue of the stufy is the number of the matching conditions to be imposed for the solution to the IBVP to be ...
Vladimir L. Borsch, Peter I. Kogut
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We consider an optimal boundary control problem for a one-dimensional wave equation consisting of two non-homogenous segments with piecewise constant characteristics. The wave equation describes the longitudinal vibrations of a non-homogeneous rod or the
Vanya Barseghyan, Svetlana Solodusha
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This work deals with the modeling of laminated composite and sandwich shells through a variable separation approach based on a Reissner’s Variational Mixed Theorem (RMVT).
Philippe Vidal +3 more
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: In this study a historical perspective of the mass continuity equation for fully developed laminar flow in the lumen side of a hollow-fiber membrane contactor is presented with respect to the lumen-wall boundary condition (BC).
Grigorios Pantoleontos +3 more
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Separation of variables in the WZW models
We consider dynamics of scalar and vector fields on gravitational backgrounds of the Wess-Zumino-Witten models. For SO(4) and its cosets, we demonstrate full separation of variables for all fields and find a close analogy with a similar separation of ...
Oleg Lunin, Jia Tian
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Inductance of cylindrical coil [PDF]
The cylindrical coreless and bar core coils are used in instrument transformers and many other electromagnetic devices. In the paper, using the separation of variables an analytical formula for the leakage inductance of thin cylindrical coil with ...
Cividjian G.A., Dolan A., Pãduraru N.
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Operator equations, separation of variables and relativistic alterations
In this paper, a simple and unified method is developed that predicts the relativistic alterations of physical measures when the behavior of a natural system is characterized by means of a specific operator equation. Separation of variables is the simple
Robert A. Hermann
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