Representations of Josephson junction on the unit circle and the derivations of Mathieu operators and Fraunhofer patterns

Toshiyuki Fujii, Fumio Hiroshima, Satoshi Tanda

The Hamiltonian J of the Josephson junction is introduced as a self-adjoint operator on l2 tensor l2. It is shown that J can also be realized as a self-adjoint operator HS1 on L2(S…