Quantum mechanics has a rich geometrical structure which allows for a geometrical formulation of the theory. This formalism was introduced by Kibble and later developed by a number of other authors. The usual approach has been to start from the standard description of quantum mechanics and identify the relevant geometrical features that can be used for the reformulation of the theory. Here this...

The upgraded elastic surface algorithm (UESA) is a physical inverse design method that was recently developed for compressor cascade with double-circular-arc blades. In this method, the blade walls are modeled as Timoshenko beams smoothly deform because of difference between target and current pressure distributions. Nevertheless, UESA completely unstable an intense normal shock, which causes d...