Now showing items 1-6 of 6

    • A general framework for quantum splines 

      Abrunheiro, L.; Camarinha, M.; Clemente-Gallardo, Jesús; Cuchí Oterino, J. C.; Santos, P. (World Scientific Publishing Company, 2018-06-06)
      Quantum splines are curves in a Hilbert space or, equivalently, in the corresponding Hilbert projective space, which generalize the notion of Riemannian cubic splines to the quantum domain. In this paper, we present a ...
    • Ehrenfest dynamics is purity non-preserving: a necessary ingredient for decoherence 

      Alonso, J. L.; Clemente-Gallardo, Jesús; Cuchí Oterino, J. C.; Echenique, Pablo; Falceto, Fernando (American Institute of Physics, 2012)
      We discuss the evolution of purity in mixed quantum/classical approaches to electronic nonadiabatic dynamics in the context of the Ehrenfest model. As it is impossible to exactly determine initial conditions for a realistic ...
    • Ehrenfest Statistical Dynamics in Chemistry: Study of Decoherence Effects 

      Alonso, J. L.; Bruscolini, P.; Castro, Alberto; Clemente-Gallardo, Jesús; Cuchí Oterino, J. C.; Jover-Galtier, J. A. (American Chemical Society, 2018-06-26)
      In previous works, we introduced a geometric route to define our Ehrenfest statistical dynamics (ESD) and we proved that, for a simple toy model, the resulting ESD does not preserve purity. We now take a step further: we ...
    • Extreme-value distributions and renormalization group 

      Calvo, Iván; Cuchí Oterino, J. C.; Esteve, J. G.; Falceto, Fernando (American Physical Society, 2012)
      In the classical theorems of extreme value theory the limits of suitably rescaled maxima of sequences of independent, identically distributed random variables are studied. The vast majority of the literature on the subject ...
    • Nonextensive thermodynamic functions in the Schrödinger-Gibbs ensemble 

      Alonso, J. L.; Castro, Alberto; Clemente-Gallardo, Jesús; Cuchí Oterino, J. C.; Echenique, Pablo; Esteve, J. G.; Falceto, Fernando (American Physical Society, 2015)
      Schrödinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamiltonian operator) are the only allowed states ...
    • Statistics and Nosé formalism for Ehrenfest dynamics 

      Alonso, J. L.; Castro, Alberto; Clemente-Gallardo, Jesús; Cuchí Oterino, J. C.; Echenique, Pablo; Falceto, Fernando (IOP Publishing, 2011)
      Quantum dynamics (e.g., the Schrödinger equation) and classical dynamics (e.g., Hamilton equations) can both be formulated in equal geometric terms: a Poisson bracket defined on a manifold. The difference between both ...