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Quantum Monodromy and Complex Scaling

Kluitenberg, M. (2017) Quantum Monodromy and Complex Scaling. Bachelor's Thesis, Mathematics.

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Abstract

In this thesis, we will consider classical and quantum monodromy in the champagne bottle potential. After a review of the necessary techniques from quantum mechanics, we study how action-angle variables lead to monodromy in the champagne bottle. Moreover, we will numerically determine the spectrum of this potential, and observe that there is quantum monodromy in the system. Finally, we will determine the resonance spectrum of the upside-down champagne bottle to see if there is also monodromy here. Conclusive evidence for this was not found.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:29
Last Modified: 15 Feb 2018 08:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15387

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