Abstract
We are going to describe a deep topological principle, Gromov’s symplectic nonsqueezing theorem [87], alias the “principle of the symplectic camel”. As we will see in the next chapter, the main tool allowing the application of Gromov’s theorem to the study of classical and quantum uncertainties is the derived notion of symplectic capacity, which is a typically “classical” object.
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© 2011 Springer Basel AG
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de Gosson, M.A. (2011). Symplectic Capacities. In: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Pseudo-Differential Operators, vol 7. Springer, Basel. https://doi.org/10.1007/978-3-7643-9992-4_5
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DOI: https://doi.org/10.1007/978-3-7643-9992-4_5
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Publisher Name: Springer, Basel
Print ISBN: 978-3-7643-9991-7
Online ISBN: 978-3-7643-9992-4
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