  The tunneling Hamiltonian is a proven method to treat particle tunneling
between different states represented as wavefunctions in many-body physics. Our
problem is how to apply a wave functional formulation of tunneling Hamiltonians
to a driven sine-Gordon system. We apply a generalization of the tunneling
Hamiltonian to charge density wave (CDW) transport problems in which we
consider tunneling between states that are wavefunctionals of a scalar quantum
field. We present derived I-E curves that match Zenier curves used to fit data
experimentally with wavefunctionals congruent with the false vacuum hypothesis.
THe open question is whether the coefficients picked in both the
wavefunctionals and the magnitude of the coefficents of the driven sine Gordon
physical system should be picked by topological charge arguements that in
principle appear to assign values that have a tie in with the false vacuum
hypothesis first presented by Sidney Coleman
