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Mekel, Ivar (2024)

Geometry in the Quantum Brachistochrone Problem

Bachelor thesis | Natuurkunde (BSc)
We apply geometrical methods to the quantum brachistochrone problem, whose equation of motion was recently written as a limit case of a well known Lax pair [MC24]. First we discuss the theories of Lie groups, Poisson geometry and Riemann surfaces in that order. This knowledge is applied to the study of Lax equations and their integrability. The final chapter applies these methods to the quantum brachistochrone problem for the smallest case su(2).
Author
Mekel, Ivar
Faculty
Faculty of Science
Specialisation
Geometry
Supervisors

Cheianov, V.
Mesland, B.

ECTS Credits
24
Language
en