Results 11 to 20 of about 302,470 (301)
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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Separation of variables in the WZW models
Journal of High Energy Physics, 2021 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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Asymptotic Separation of Variables
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estrada, R., Kanwal, R.P.
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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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Symmetry, Integrability and Geometry: Methods and Applications, 2011 A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics
Alberto Carignano +3 more
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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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Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional Hamiltonian systems, namely Hamilton-
Philip Broadbridge +2 more
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Variables Separation in Gravity [PDF]
Proceedings of Fourth International Winter Conference on Mathematical Methods in Physics — PoS(WC2004), 2004 8 pages. In proceedings of 4th International Winter Conference on Mathematical Methods in Physics (WC 2004), Rio de Janeiro, Brazil, 9-13 Aug ...
Obukhov, Valery V. +1 more
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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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Cartesian Operator Factorization Method for Hydrogen
Atoms, 2022 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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