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We reference the tunneling Hamiltonian to have particle tunneling among different states represented as wave-functions. Our problem applies wave-functionals to a driven sine-Gordon system. We apply the tunneling Hamiltonian to charge density wave (CDW) transport problems where we consider tunneling among states that are wave-functionals of a scalar quantum field, i.e. derived I-E curves that match Zenier curves used to fit data experimentally with wave-functionals congruent with the false vacuum hypothesis. The open question is whether the coefficients picked in both wave-functionals and the magnitude of the coefficients of the driven sine-Gordon physical system are picked by topological charge arguments that appear to assign values consistent with the false vacuum hypothesis. Crucial results by Fred Cooper et al. allow a mature quantum foam interpretation of false vacuum nucleation for further refinement of our wave-functional results. In doing so, we give credence to topological arguments as a first order phase transition in CDW I-E curves.

Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?