  We present a method for computing first order asymptotics of semiclassical
spectra for 1-D Bogoliubov-de Gennes (BdG) Hamiltonian from Supraconductivity,
which models the electron/hole scattering through two SNS junctions. This
involves: 1) reducing the system to Weber equation near the branching point at
the junctions, 2) constructing local sections of the fibre bundle of microlocal
solutions, 3) normalizing these solutions for the "flux norm" associated to the
microlocal Wronskians, 4) finding the relative monodromy matrices in the gauge
group that leaves invariant the flux norm, 5) from this we deduce
Bohr-Sommerfeld (BS) quantization rules that hold precisely when the fibre
bundle of microlocal solutions (depending on the energy parameter E) has
trivial holonomy. Such a semi-classical treatement reveals interesting
continuous symetries related to monodromy.
