Hmm I'm not sure, I've described a much simpler generalisation of the problem that I'm working on just to get down to the key concept I'm uncertain about. Basically it's this business of having two different Hamiltonians either side of x=0 (normally the difference is just the `V' in H=H_0+V) and...
Can the basic techniques of wavefunction matching that one would use to calculate the transmission through a step barrier potential and the Dirac hamiltonian of graphene be used for a situation where instead the fermi velocity changes in a step like fashion. i.e. instead of a Hamiltonian like...