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Data-Driven Quantum Simulation of Artificial Quantum Materials with Rydberg Atoms. [PDF]
Kim M.
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Dynamics-informed priors (DIP) for neural mass modelling. [PDF]
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A Variational Principle for Scattering
Physical Review, 1952A variational principle is presented for the phase shifts ${\ensuremath{\delta}}_{l}$ of a central force scattering problem. This generalizes the principles of Schwinger and Hulth\`en for $S$-state scattering in that (a) it is applicable to states of higher angular momentum, and (b) it depends explicitly on the "inside" wave function only.
Feshbach, Herman, Rubinow, S. I.
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A Generalized Variational Principle
Canadian Journal of Mathematics, 2001AbstractWe prove a strong variant of the Borwein-Preiss variational principle, and show that on Asplund spaces, Stegall's variational principle follows from it via a generalized Smulyan test. Applications are discussed.
Loewen, Philip D., Wang, Xianfu
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A variational principle in optics
Journal of the Optical Society of America A, 2004We derive a new variational principle in optics. We first formulate the principle for paraxial waves and then generalize it to arbitrary waves. The new principle, unlike the Fermat principle, concerns both the phase and the intensity of the wave. In particular, the principle provides a method for finding the ray mapping between two surfaces in space ...
Jacob, Rubinstein, Gershon, Wolansky
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On the Generality of Variational Principles
Milan Journal of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Schwinger’s variational principle
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1957Abstract The classical and quantum theories of dynamical systems whose Lagrangians are linear in the co-ordinate derivatives are studied, with a view to clarifying a number of points in relation to Schwinger’s quantum-mechanical variational principle.
Kibble, T. W. B., Polkinghorne, J. C.
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Complementary variational principles and variational-iterative principles
Journal of Physics A: Mathematical and General, 1981Complementary variational principles for the solution of certain linear equations are developed. It is shown that these may be used iteratively for the solution of nonlinear equations. Examples are presented with applications in particle theory, electromagnetic theory, communication theory and the Thomas-Fermi statistical theory for atoms.
Burrows, B. L., Perks, A. J.
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