Quantum speed limit vs. classical displacement energy
  We discuss a link between symplectic displacement energy, a fundamental notion of symplectic topology, and the quantum speed limit, a universal constraint on the speed of quantum-mechanical processes. The link is provided by the quantum-classical correspondence formalized within the framework of the Berezin-Toeplitz quantization. 
Laurent Charles and Leonid Polterovich
math-ph math.MP math.SG