5 papers
Stationary perturbation theory without sums over intermediate states: Supersymmetric Expansion Algorithm
M. Napsuciale, S. Rodríguez
In this work we show that results of Rayleigh-Schrödinger perturbation theory can be easily obtained using the recently proposed supersymmetric expansion algorithm. Our formalism a…
Chase-escape with conversion on the complete graph
Matthew Junge, Sergio Rodríguez
We prove that chase-escape with conversion on the complete graph undergoes a phase transition at equal fitness and derive simple asymptotic formulas for the extinction probability,…
Totally Disconnected (non-metric) Gelfand Duality
Sebastián Rodríguez, Xavier Caicedo
We characterize those algebras over a disconnected uniformly complete topological field which are representable as algebras of continuous functions on compact topological spaces, g…
Supersymmetric Expansion Algorithm and complete analytical solution for the Hulthén and anharmonic potentials
M. Napsuciale, S. Rodríguez, M. Kirchbach
An algorithm for providing analytical solutions to Schrödinger's equation with non-exactly solvable potentials is elaborated. It represents a symbiosis between the logarithmic expa…
Non-resonant electric quantum control of individual on-surface spins
Santiago A. Rodríguez, Sergio S. Gómez, Joaquín Fernández-Rossier +1
Quantum control techniques play an important role in manipulating and harnessing the properties of different quantum systems, including isolated atoms. Here, we propose to achieve…