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Titlebook: Symmetries in Science III; Bruno Gruber,Francesco Iachello Book 1989 Plenum Press, New York 1989 Hamiltonian.dynamical system.dynamical sy

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Diffeomorphism Groups And Local Symmetries: Some Applications In Quantum Physicsxts. Their areas of application include quantum mechanics and quantization methods, quantum field theory and local current algebra, general relativity and quantum gravity, and hydrodynamics and the quantization of fluids. In the case when the underlying manifold is a circle, they are related to Kac-
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Quasi-Particle Groups in Atomic Shell Theoryctrons. Racah had demonstrated the great utility of this exceptional Lie group in his classic paper on the Coulomb energies off electrons,. but it was known that no analogous group existed for electrons with higher ℓ. However, the G. classification of the states of the f shell could be accomplished
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Properties of Orthogonal Operators molecular vibration/rotation theory. Both historical accident and variations in the form of the available data have led to rather different approaches being adopted in each case. The aim of this article is to show that a unified approach exists based on the concept of orthogonal operators and that
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Symmetries in The Lagrangian And Hamiltonian Formalism: The Equivariant Inverse Problem Newtonian) dynamical system. In this paper we address ourselves to the., which arises when one wants the Lagrangian to be strictly invariant, or only quasi invariant, under the action of a Lie group of point transformations which are also symmetries for the original dynamics. The occurrence of quas
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