Relativistic quantum control theory
Alexandre Coutinho Lisboa, Jose Piqueira
This is an attempt to develop ideas about a possible Relativistic Quantum Control Theory that could be valuable to enhance the performance of particle detection and collision. In order to achieve this goal, a precise formulation of Optimal Control Systems in terms
of the Classical Field Theory is proposed in such a way that the resulting dynamics, as well the constraint relations that systems should obey, must be invariant to Lorentz transformations, i.e., must be expressed in a covariant manner. A quantization procedure of the whole Optimal Control System is carried out, which has been made Lorentz-invariant. The resulting Optimal Control System could be studied and applied to problems involving quantum particles in the relativistic regime allowing for minimizing times, average distances and/or energy costs of the processes.
CYBERNETICS AND PHYSICS, Vol. 5, No. 1, 2016, 12–15.