• openAccess   Geometric approach to non-relativistic quantum dynamics of mixed states 

      Gimeno, Vicent; Martínez Sotoca, José AIP Publishing LLC (2013-05)
      In this paper we propose a geometrization of the non-relativistic quantum mechanics for mixed states. Our geometric approach makes use of the Uhlmann's principal fibre bundle to describe the space of mixed states and as a ...
    • openAccess   Upper bounds for the Poincaré recurrence time in quantum mixed states 

      Gimeno, Vicent; Martínez Sotoca, José IOP Publishing Ltd. (2017-04)
      In this paper we use geometric techniques to provide upper bounds for the Poincaré recurrence time of a quantum mixed state with a discrete spectrum of energies. We obtain two types of upper bounds. One of them depends on ...