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Exact analytical solution of the problem of current-carrying states of the Josephson junction in external magnetic fields

Exact analytical solution of the problem of current-carrying states of the Josephson junction in external magnetic fields

The classical problem of the Josephson junction of arbitrary length $W$ in the presence of externally applied magnetic fields $(H)$ and transport currents $(J)$ is reconsidered from the point of view of stability theory. In particular, we derive the complete infinite set of exact analytical solutions for the phase difference …