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.
2023
Supersymmetric quantum mechanics and equivariant localization
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.
quantum mechanics
supersymmetry
localization
equivariance
geometry
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12608/80478