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Relational Bundle Geometric Formulation of Quantum Mechanics via the Dressing Field Method

We present a bundle geometric formulation of non-relativistic many-particles Quantum Mechanics (QM) where wave functions are seen as a cocyclic tensorial 0-form on configuration space-time seen as a principal bundle.

Wednesday 15.04.2026 11:04 am

Its covariant derivative, induced by the action functional which supplies a (flat) cocyclic connection 1-form, encodes the Schrödinger equation. Then, we propose a relational reformulation achieved via the Dressing Field Method (DFM). Thelatter naturally implements a 'physical reference frame covariance' of the relational formulation.

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Speaker: Lucrezia Ravera (Politecnico di Torino, Italy)

Time:  11:00


 

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