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Separation of Variables. New Trends. [PDF]
Progress of Theoretical Physics Supplement, 1995 The review is based on the author's papers since 1985 in which a new approach to the separation of variables (\SoV) has being developed. It is argued that \SoV, understood generally enough, could be the most universal tool to solve integrable models of ...
Sklyanin, E. K.
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Separation of Variables and the Geometry of Jacobians [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense.
Jacques Hurtubise
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(1+1)-dimensional separation of variables [PDF]
Journal of Mathematical Physics, 2007 In this paper we explore general conditions which guarantee that the geodesic flow on a 2-dimensional manifold with indefinite signature is locally separable. This is equivalent to showing that a 2-dimensional natural Hamiltonian system on the hyperbolic
Giuseppe Pucacco +4 more
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Supersymmetrical Separation of Variables in Two-Dimensional Quantum Mechanics
Symmetry, Integrability and Geometry: Methods and Applications, 2010 Two different approaches are formulated to analyze two-dimensional quantum models which are not amenable to standard separation of variables. Both methods are essentially based on supersymmetrical second order intertwining relations and shape invariance -
Mikhail V. Ioffe
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Upper-division student difficulties with separation of variables
Physical Review Special Topics. Physics Education Research, 2015 Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and ...
Bethany R. Wilcox, Steven J. Pollock
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Boundary overlaps from Functional Separation of Variables
Journal of High Energy PhysicsIn this paper we show how the Functional Separation of Variables (FSoV) method can be applied to the problem of computing overlaps with integrable boundary states in integrable systems.
Simon Ekhammar +2 more
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Use Various Mathematical Methods to Solve Three Dimensional Conduction Heat Equation in Cylindrical Coordinate [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2022 In this paper we use the separation of variables method and L24c transform method to solve three-dimensional conduction heat equation in cylindrical coordinate and results plotted by using Matlab.
AHMED SALAR, Ahmed Jassim
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Carbon Capture Science & Technology, 2022 : 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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Inductance of cylindrical coil [PDF]
Serbian Journal of Electrical Engineering, 2004 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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Use Different Mathematical Methods to Solve Three Dimensional Conduction Heat Equation in Cartesian Coordinate [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2022 In this paper three-dimensional heat conduction equation in cartesian coordinate has been solved in two different methods one of which depends on the separation of variables and the other depends on the integral transform .The results are got and plotted
AHMED SALAR, Ahmed Jassim
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