• openAccess   A lower bound for the area of Plateau foams 

      Gimeno, Vicent; Markvorsen, Steen; Martínez Sotoca, José Springer (2020-04-07)
      Real foams can be viewed as geometrically well-organized dispersions of more or less spherical bubbles in a liquid. When the foam is so drained that the liquid content significantly decreases, the bubbles become polyhedral-like ...
    • 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 ...