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Topological invariants of electronic currents in magnetic fields
S. Selenu
In this article it is reported a formulation of the solenoidal nature of quantum electronic currents at the nanoscale whose divergence is expressed as the coupling of a magnetic fi…
Quantum body in uniform magnetic fields
S. Selenu
In this article it will be presented the first attempt made in order to perform gauge invariant calculations of eigenstates of a quantum body in its condensed phase, the latter rea…
Variations of polarisation in external electrostatic fields
Simone Selenu
It is nowadays a quite diffuse idea that variations of polarisation in condensed matter theory are related to a "Berry phase". The derivation of the latter geometric phase is corre…
Geometric phase in external electromagnetic fields
Simone Selenu
Variations of polarization of the electronic field is a dielectric property quantified by Resta et al. and discovered to be a Berry phase of the electronic subsystem. In order to c…
Conserved geometric phase and group velocity
Simone Selenu
In this paper we make use of the concept of conserved geometric phase and of group velocity,in conjunction with the representation theory\cite{Dirac,Dirac-letture}, in order to der…
Power and group velocity
Simone Selenu
Here we make use of the Hellmann-Feynman theorem, with the aim to calculate macroscopic quantum velocities instead of forces, and we show how it is possible to derive the expressio…