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Progress of Theoretical Physics Supplement, 1995 33 pages, harvmac, no ...
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 two-dimensional manifold with indefinite signature is locally separable. This is equivalent to showing that a two-dimensional natural Hamiltonian system on the hyperbolic plane possesses a second integral of motion which is a quadratic polynomial in the momenta ...
PUCACCO, GIUSEPPE, Rosquist, K.
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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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Orbit Approach to Separation of Variables in sl(4)-Related Integrable Systems [PDF]
, 2014 Separation of variables by means of the orbit method is implemented to integrable systems on coadjoint orbits in an $\mathfrak{sl}(4)$ loop algebra. This is a development and a kind of explanation for Sklyanin's procedure of separation of variables.
Bernatska, Julia
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Maxwell’s Equations in Homogeneous Spaces for Admissible Electromagnetic Fields
Universe, 2022 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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