Abstract

We show that the customary Hamiltonian ${H}_{\mathrm{JJ}}$ describing a Josephson junction has a co-commutative quantum dynamical algebra ${h}_{w}(1).$ This allows us to write naturally the Hamiltonian of many junctions in parallel by resorting to the associated coalgebra; more precisely to the coproduct $\ensuremath{\Delta}{(H}_{\mathrm{JJ}}).$ The deformation parameter w measures the ratio between Coulomb and Josephson energies in the junction.

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