How a new paradigm for quasi one dimensional transport problems overlaps with Schwinger's electron-positron nucleation results as generalized by Lin

I present how to apply a wavefunctional formulation of tunneling Hamiltonians to a driven sine~Gordon system. Specifically, I apply a generalization of the tunneling Hamiltonian to charge density wave (CDW) transport problems in which I consider tunneling between states that are wavefunctionals of a scalar quantum field $\phi $. I present previously derived \textbf{\textit{I-E}} curves that match Zenier curves used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis. Additionally, I observe a very strong convergence with a generalization of Lin's expansion of Schwinger's work in electron- positron pair production, finding that the similarities argue in favor of the new pinning gap paradigm proposed for quasi-one-dimensional metallic transport problems.