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Equivalent quantum systems

M. Caruso

M. Caruso

Fundación I+D del Software Libre, FIDESOL, Granada (18100), España, Universidad Internacional de La Rioja - UNIR, Spain

E-mail Address: mcaruso@fidesol.org

E-mail Address: mariano.caruso@unir.net

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https://doi.org/10.1142/S0219887823502092Cited by:0 (Source: Crossref)

Abstract

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 a 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 will be achieved in the theory of control quantum systems.

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