Listar por autoría "bea0a7e6-2590-4eda-8d99-b67f0ce02d96"
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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 ... -
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. ... -
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 ...