Print Email Facebook Twitter The Brachistochrone Problem: From Euler to Quantum Title The Brachistochrone Problem: From Euler to Quantum Author Hermans, Carlos (TU Delft Applied Sciences; TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Dubbeldam, Johan (mentor) Thijssen, Jos (mentor) Groenevelt, Wolter (graduation committee) Blaauboer, Miriam (graduation committee) Degree granting institution Delft University of Technology Date 2017-07-11 Abstract In this thesis I take a look at various aspects of the brachistochrone problem. In the first half I consider the classical brachistochrone problem, without friction, after which I generalize to also consider drag; friction proportional to the squared speed. I do this numerically, with the shooting method, and following some papers, which Euler wrote. Then I will look at how Euler's results compare to modern results and discuss how they are different. In the second half I consider the quantum brachistochrone problem, following a paper by A. Carlini, and afterwards I look at a related problem, where there is not enough time to change an electron spin between two predetermined states. This problem has been numerically solved in an example. Subject EulerBrachistochroneMaximum FidelityFriction BrachistochroneDrag BrachistochroneQuantum Brachistochrone To reference this document use: http://resolver.tudelft.nl/uuid:3bc36b6d-eab1-4d20-afd2-1a1e0cc47a0f Part of collection Student theses Document type bachelor thesis Rights © 2017 Carlos Hermans Files PDF Verslag.pdf 1.42 MB Close viewer /islandora/object/uuid:3bc36b6d-eab1-4d20-afd2-1a1e0cc47a0f/datastream/OBJ/view