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math.SP2024
The relativistic rotated harmonic oscillator
A. Balmaseda, D. Krejcirik, J. M. Pérez-Pardo
We introduce a relativistic version of the non-self-adjoint operator obtained by a dilation analytic transformation of the quantum harmonic oscillator. While the spectrum is real a…
math.OC2024
Global approximate controllability of quantum systems by form perturbations and applications
Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo
We provide sufficient conditions for the approximate controllability of infinite-dimensional quantum control systems corresponding to form perturbations of the drift Hamiltonian mo…