The aim of this thesis is to present the topics of supersymmetric quantum mechanics, equivariant localization and to show how the latter, together with other types of localization and deformation invariance, emerges when we study supersymmetric quantum systems. Obtaining exact results in quantum mechanics is a difficult task, but in certain situations the features of the system under examination help us to perform exact calculations: this is the case of supersymmetric quantum systems, a class of systems for which we can do so by applying advanced mathematical tools such as those discussed in this thesis.
The aim of this thesis is to present the topics of supersymmetric quantum mechanics, equivariant localization and to show how the latter, together with other types of localization and deformation invariance, emerges when we study supersymmetric quantum systems. Obtaining exact results in quantum mechanics is a difficult task, but in certain situations the features of the system under examination help us to perform exact calculations: this is the case of supersymmetric quantum systems, a class of systems for which we can do so by applying advanced mathematical tools such as those discussed in this thesis.
Supersymmetric quantum mechanics and equivariant localization
GIANNINI, FEDERICO
2023/2024
Abstract
The aim of this thesis is to present the topics of supersymmetric quantum mechanics, equivariant localization and to show how the latter, together with other types of localization and deformation invariance, emerges when we study supersymmetric quantum systems. Obtaining exact results in quantum mechanics is a difficult task, but in certain situations the features of the system under examination help us to perform exact calculations: this is the case of supersymmetric quantum systems, a class of systems for which we can do so by applying advanced mathematical tools such as those discussed in this thesis.File | Dimensione | Formato | |
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https://hdl.handle.net/20.500.12608/80478