Structure of Dynamical Systems 1997
DOI: 10.1007/978-1-4612-0281-3_9
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Cited by 19 publications
(48 citation statements)
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“…We mention for completeness that the Lagrangians (2.2) are the Cartan forms of the Souriau forms [14,28],…”
Section: Chiral Oscillatorsmentioning
confidence: 99%
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“…We mention for completeness that the Lagrangians (2.2) are the Cartan forms of the Souriau forms [14,28],…”
Section: Chiral Oscillatorsmentioning
confidence: 99%
“…The possibility of decomposing an isolated system into center-of-mass and relative coordinates has been linked to Galilean symmetry : Souriau [14] argued, in fact, that this property depends on the Galilei group having an invariant Abelian subgroup -namely the one spanned by translations and (Galilean) boosts.…”
mentioning
confidence: 99%
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“…Symplectic manifolds have a very rich geometric structure, that allows us to reproduce many classic quantum mechanical results that seem to need a priori the notion of the Hilbert space. Such is the case for Wigner's classification of particles (from the geometric quantisation of Konstant-Souriau [32]) and many aspects of the spin-statistics relation [33].…”
Section: Phases As Primitive Ingredientsmentioning
confidence: 99%