Symplectic Capacities

Part of the Pseudo-Differential Operators book series (PDO, volume 7)


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.


Periodic Orbit Quantum Uncertainty Symplectic Space Symplectic Capacity Gromov Width 
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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Faculty of Mathematics, NuHAGUniversity of ViennaViennaAustria

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