Equivalent quantum systems Caruso, Mariano Guillermo We thank to University of Granada and FIDESOL for the support and recall also the anonymous readers for their constructive criticism to this work. We have studied quantum systems on finite-dimensional Hilbert spaces and found that all these systems are connected through local transformations. Actually, we have shown that these transformations give rise to a gauge group that connects the hamiltonian operators associated with each quantum system. This bridge allows us to connect different quantum systems, in such way that studying one of them allows to understand the other through a gauge transformation. Furthermore, we included the case where the hamiltonian operator can be time-dependent. An application for this construction it will be achieved in the theory of control quantum systems. 2023-10-31T13:25:47Z 2023-10-31T13:25:47Z 2023-08-22 journal article Published version: Caruso, M. G. Equivalent quantum systems. International Journal of Geometric Methods in Modern Physics Vol. 20, No. 12, 2350209 (2023). [https://doi.org/10.1142/S0219887823502092] https://hdl.handle.net/10481/85382 10.1142/S0219887823502092 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional World Scientific