Listar por autoría "bdb615dc-676b-41f4-b600-bbc3c2dcdada"

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    • openAccess   A pedagogical approach to the Magnus expansion 

      Blanes, Sergio; Casas, Fernando; Oteo, J. A.; Ros, J. Institute of Physics (2010-07)
      Time-dependent perturbation theory as a tool to compute approximate solutions of the Schrödinger equation does not preserve unitarity. Here we present, in a simple way, how the Magnus expansion (also known as exponential ...

    • closedAccess   The Magnus expansion and some of its applications 

      Blanes, Sergio; Casas, Fernando; Oteo, J. A.; Ros, J. Elsevier (2009)
      Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem, shared by a number of scientific and engineering areas, ranging from Quantum Mechanics to Control Theory. ...

    • openAccess   Unitary transformations depending on a small parameter 

      Casas, Fernando; Oteo, J. A.; Ros, J. Royal Society, The (2012)
      We formulate a unitary perturbation theory for quantum mechanics inspired by the LieDeprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained ...